Certain number-theoretic episodes in algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2007
|
| Schriftenreihe: | Pure and applied mathematics
286 |
| Schlagworte: | |
| Online-Zugang: | Publisher description Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and indexes |
| Beschreibung: | 11 Bl., 632 S. |
| ISBN: | 0824758951 |
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| adam_text | CERTAIN NUMBER- THEORETIC EPISODES IN ALGEBRA R. SIVARAMAKRISHNAN
CHAPMAN & HALL/CRC TAYLOR & FRANCIS GROUP BOCA RATON LONDON NEW YORK
CHAPMAN & HALL/CRC IS AN IMPRINT OF THE TAYLOR & FRANCIS GROUP, AN
INFORMA BUSINESS CONTENTS PART I - ELEMENTS OF NUMBER THEORY AND ALGEBRA
.. 1 1. THEOREMS OF EULER, FERMAT AND LAGRANGE 3 HISTORICAL PERSPECTIVE
3 1.1. INTRODUCTION 4 1.2. THE QUOTIENT RING Z/RZ 4 1.3. AN ELEMENTARY
COUNTING PRINCIPLE 8 1.4. FERMAT S TWO SQUARES THEOREM 12 1.5.
LAGRANGE S FOUR SQUARES THEOREM 15 1.6. DIOPHANTINE EQUATIONS 18 1.7.
NOTES WITH ILLUSTRATIVE EXAMPLES 19 1.8. WORKED-OUT EXAMPLES 22
EXERCISES 25 REFERENCES 26 2. THE INTEGRAL DOMAIN OF RATIONAL INTEGERS
29 HISTORICAL PERSPECTIVE 29 2.1. INTRODUCTION . 30 2.2. ORDERED
INTEGRAL DOMAINS 30 2.3. IDEALS IN A COMMUTATIVE RING 32 2.4.
IRREDUCIBLES AND PRIMES 34 2.5. GCD DOMAINS 38 2.6. NOTES WITH
ILLUSTRATIVE EXAMPLES 40 2.7. WORKED-OUT EXAMPLES 42 EXERCISES :* 44
REFERENCES 45 3. EUCLIDEAN DOMAINS 4 7 HISTORICAL PERSPECTIVE 47 3.1.
INTRODUCTION 47 3.2. Z AS A EUCLIDEAN DOMAIN 48 3.3. QUADRATIC NUMBER
FIELDS 49 3.4. ALMOST EUCLIDEAN DOMAINS 54 3.5. NOTES WITH ILLUSTRATIVE
EXAMPLES 67 3.6. WORKED-OUT EXAMPLES 68 EXERCISES 71 REFERENCES 72 4.
RINGS OF POLYNOMIALS AND FORMAL POWER SERIES 73 HISTORICAL PERSPECTIVE
73 4.1. INTRODUCTION 74 4.2. POLYNOMIAL RINGS 74 4.3. ELEMENTARY
ARITHMETIC FUNCTIONS 79 4.4. POLYNOMIALS IN SEVERAL INDETERMINATES 82
4.5. RING OF FORMAL POWER SERIES 84 4.6. FINITE FIELDS AND IRREDUCIBLE
POLYNOMIALS 94 4.7. MORE ABOUT IRREDUCIBLE POLYNOMIALS 97 4.8. NOTES
WITH ILLUSTRATIVE EXAMPLES 98 4.9. WORKED-OUT EXAMPLES 99 EXERCISES 100
REFERENCES 102 5. THE CHINESE REMAINDER THEOREM AND THE EVALUATION OF
NUMBER OF SOLUTIONS OF A LINEAR CONGRUENCE WITH SIDE CONDITIONS 105
HISTORICAL PERSPECTIVE 105 5.1. INTRODUCTION 106 5.2. THE CHINESE
REMAINDER THEOREM 106 5.3. DIRECT PRODUCTS AND DIRECT SUMS 110 5.4. EVEN
FUNCTIONS (MOD R) 120 5.5. LINEAR CONGRUENCES WITH SIDE CONDITIONS 124
5.6. THE RADEMACHER FORMULA 126 5.7. NOTES WITH ILLUSTRATIVE EXAMPLES
129 5.8. WORKED-OUT EXAMPLES 131 EXERCISES 133 REFERENCES 136 6.
RECIPROCITY LAWS 139 HISTORICAL PERSPECTIVE , 139 6.1. INTRODUCTION 140
6.2. PRELIMINARIES 140 6.3. GAUSS LEMMA 142 6.4. FINITE FIELDS AND
QUADRATIC RECIPROCITY LAW 145 6.5. CUBIC RESIDUES (MOD P) 150 6.6. GROUP
CHARACTERS AND THE CUBIC RECIPROCITY LAW 156 6.7. NOTES WITH
ILLUSTRATIVE EXAMPLES 166 6.8. A COMMENT BY W. C. WATERHOUSE 171 6.9.
WORKED-OUT EXAMPLES 172 EXERCISES 174 REFERENCES 175 7. FINITE GROUPS
177 HISTORICAL PERSPECTIVE 177 7.1. INTRODUCTION 178 7.2. CONJUGATE
CLASSES OF ELEMENTS IN A GROUP 178 7.3. COUNTING CERTAIN SPECIAL
REPRESENTATIONS OF A GROUP ELEMENT 180 7.4. NUMBER OF CYCLIC SUBGROUPS
OF A FINITE-GROUP 188 7.5. A CRITERION FOR THE UNIQUENESS OF A CYCLIC
GROUP OF ORDER R 193 7.6. NOTES WITH ILLUSTRATIVE EXAMPLES 196 7.7. A
WORKED-OUT EXAMPLE 197 7.8. AN EXAMPLE FROM QUADRATIC RESIDUES 198
EXERCISES 200 REFERENCES 201 PART II - THE RELEVANCE OF ALGEBRAIC
STRUCTURES TO NUMBER THEORY 8. ORDERED FIELDS, FIELDS WITH VALUATION AND
OTHER ALGEBRAIC STRUCTURES . .. 205 HISTORICAL PERSPECTIVE 205 8.1.
INTRODUCTION 206 8.2. ORDERED FIELDS 206 8.3. VALUATION RINGS 214 8.4.
FIELDS WITH VALUATION 216 8.5. NORMED DIVISION DOMAINS 229 8.6. MODULAR
LATTICES AND JORDAN-HOLDER THEOREM 233 8.7. NON-COMMUTATIVE RINGS 244
8.8. BOOLEAN ALGEBRAS 247 8.9. NOTES WITH ILLUSTRATIVE EXAMPLES 252
8.10. WORKED-OUT EXAMPLES 255 EXERCISES 256 REFERENCES 257 9. THE ROLE
OF THE MOBIUS FUNCTION* ABSTRACT MOBIUS INVERSION 261 HISTORICAL
PERSPECTIVE 261 9.1. INTRODUCTION : 262 9.2. ABSTRACT MOBIUS INVERSION
262 9.3. INCIDENCE ALGEBRA OFNXN MATRICES 271 9.4. VECTOR SPACES OVER A
FINITE FIELD 273 9.5. NOTES WITH ILLUSTRATIVE EXAMPLES 281 9.6.
WORKED-OUT EXAMPLES 283 EXERCISES 285 REFERENCES 288 10. THE ROLE OF
GENERATING FUNCTIONS 291 HISTORICAL PERSPECTIVE 291 10.1. INTRODUCTION
291 10.2. EULER S THEOREMS ON PARTITIONS OF AN INTEGER 292 10.3.
ELLIPTIC FUNCTIONS : 298 10.4. STIRLING NUMBERS AND BERNOULLI NUMBERS:
306 10.5. BINOMIAL POSETS AND GENERATING FUNCTIONS 313 10.6. DIRICHLET
SERIES 318 10.7. NOTES WITH ILLUSTRATIVE EXAMPLES 325 10.8. WORKED-OUT
EXAMPLES 327 10.9. CATALAN NUMBERS 328 EXERCISES 333 REFERENCES 336 11.
SEMIGROUPS AND CERTAIN CONVOLUTION ALGEBRAS 339 HISTORICAL PERSPECTIVE
339 11.1. INTRODUCTION 340 11.2. SEMIGROUPS 341 11.3. SEMICHARACTERS 344
11.4. FINITE DIMENSIONAL CONVOLUTION ALGEBRAS 351 1-1.5. ABSTRACT
ARITHMETICAL FUNCTIONS 358 11.6. CONVOLUTIONS IN GENERAL 361 11.7. A
FUNCTIONAL-THEORETIC ALGEBRA 364 11.8. NOTES WITH ILLUSTRATIVE EXAMPLES
366 11.9. WORKED-OUT EXAMPLES 367 EXERCISES 369 REFERENCES 371 PART III
- A GLIMPSE OF ALGEBRAIC NUMBER THEORY .. 373 12. NOETHERIAN AND
DEDEKIND DOMAINS 375 HISTORICAL PERSPECTIVE 375 12.1. INTRODUCTION 375
12.2. NOETHERIAN RINGS 376 12.3. MORE ABOUT IDEALS 378 12.4. JACOBSON
RADICAL :.. 384 12.5. THE LASKER-NOETHER DECOMPOSITION THEOREM 387 12.6.
DEDEKIND DOMAINS 394 12.7. THE CHINESE REMAINDER THEOREM REVISITED 410
12.8. INTEGRAL DOMAINS HAVING FINITE NORM PROPERTY 418 12.9. NOTES WITH
ILLUSTRATIVE EXAMPLES 426 12.10. WORKED-OUT EXAMPLES 428 EXERCISES , 431
REFERENCES 433 13. ALGEBRAIC NUMBER FIELDS 435 HISTORICAL PERSPECTIVE
435 13.1. INTRODUCTION 435 13.2. THE IDEAL CLASS GROUP 436 13.3.
CYCLOTOMIC FIELDS 441 13.4. HALF-FACTORIAL DOMAINS 443 13.5. THE PELL
EQUATION 447 13.6. THE CAKRAVALA METHOD 448 13.7. DIRICHLET S UNIT
THEOREM 456 13.8. NOTES WITH ILLUSTRATIVE EXAMPLES 470 13.9. FORMALLY
REAL FIELDS 473 13.10. WORKED-OUT EXAMPLES 474 EXERCISES 477 REFERENCES
478 PART IV - SOME MORE INTERCONNECTIONS .. 481 14. RINGS OF ARITHMETIC
FUNCTIONS 483 HISTORICAL PERSPECTIVE 483 14.1. INTRODUCTION 483 14.2.
CAUCHY COMPOSITION (MOD R) 484 14.3. THE ALGEBRA OF EVEN FUNCTIONS (MOD
R) 495 14.4. CARLITZ CONJECTURE 500 14.5. MORE ABOUT ZERO DIVISORS 505
14.6. CERTAIN NORM-PRESERVING TRANSFORMATIONS 506 14.7. NOTES WITH
ILLUSTRATIVE EXAMPLES 514 14.8. WORKED-OUT EXAMPLES 516 EXERCISES 519
REFERENCES 521 15. ANALOGUES OF THE GOLDBACH PROBLEM 525 HISTORICAL
PERSPECTIVE 525 15.1. INTRODUCTION 526 15.2. THE RIEMANN HYPOTHESIS 527
15.3. A FINITE ANALOGUE OF THE GOLDBACH PROBLEM 535 15.4. THE GOLDBACH
PROBLEM IN M,,(Z) 544 15.5. AN ANALOGUE OF GOLDBACH THEOREM VIA
POLYNOMIALS OVER FINITE FIELDS 549 15.6. NOTES WITH ILLUSTRATIVE
EXAMPLES 568 15.7. A VARIANT OF GOLDBACH CONJECTURE: 570 EXERCISES 571
REFERENCES 572 16. AN EPILOGUE: MORE INTERCONNECTIONS 57 7 INTRODUCTION
577 16.1. ON COMMUTATIVE RINGS 577 16.2. COMMUTATIVE RINGS WITHOUT
MAXIMAL IDEALS 581 16.3. INFINITUDE OF PRIMES IN A PID 584 16.4. ON THE
GROUP OF UNITS OF A COMMUTATIVE RING 587 16.5. QUADRATIC RECIPROCITY IN
A FINITE GROUP 592 16.6. WORKED-OUT EXAMPLES 602 REFERENCES 606
TRUE/FALSE STATEMENTS : ANSWER KEY 608 INDEX OF SOME SELECTED STRUCTURE
THEOREMS/RESULTS 609 INDEX OF SYMBOLS AND NOTATIONS 611 BIBLIOGRAPHY 615
SUBJECT INDEX 620 INDEX OF NAMES 627
|
| adam_txt |
CERTAIN NUMBER- THEORETIC EPISODES IN ALGEBRA R. SIVARAMAKRISHNAN
CHAPMAN & HALL/CRC TAYLOR & FRANCIS GROUP BOCA RATON LONDON NEW YORK
CHAPMAN & HALL/CRC IS AN IMPRINT OF THE TAYLOR & FRANCIS GROUP, AN
INFORMA BUSINESS CONTENTS PART I - ELEMENTS OF NUMBER THEORY AND ALGEBRA
. 1 1. THEOREMS OF EULER, FERMAT AND LAGRANGE 3 HISTORICAL PERSPECTIVE
3 1.1. INTRODUCTION 4 1.2. THE QUOTIENT RING Z/RZ 4 1.3. AN ELEMENTARY
COUNTING PRINCIPLE 8 1.4. FERMAT'S TWO SQUARES THEOREM 12 1.5.
LAGRANGE'S FOUR SQUARES THEOREM 15 1.6. DIOPHANTINE EQUATIONS 18 1.7.
NOTES WITH ILLUSTRATIVE EXAMPLES 19 1.8. WORKED-OUT EXAMPLES 22
EXERCISES 25 REFERENCES 26 2. THE INTEGRAL DOMAIN OF RATIONAL INTEGERS
29 HISTORICAL PERSPECTIVE 29 2.1. INTRODUCTION . 30 2.2. ORDERED
INTEGRAL DOMAINS 30 2.3. IDEALS IN A COMMUTATIVE RING 32 2.4.
IRREDUCIBLES AND PRIMES 34 2.5. GCD DOMAINS 38 2.6. NOTES WITH
ILLUSTRATIVE EXAMPLES 40 2.7. WORKED-OUT EXAMPLES 42 EXERCISES :* 44
REFERENCES 45 3. EUCLIDEAN DOMAINS 4 7 HISTORICAL PERSPECTIVE 47 3.1.
INTRODUCTION 47 3.2. Z AS A EUCLIDEAN DOMAIN 48 3.3. QUADRATIC NUMBER
FIELDS 49 3.4. ALMOST EUCLIDEAN DOMAINS 54 3.5. NOTES WITH ILLUSTRATIVE
EXAMPLES 67 3.6. WORKED-OUT EXAMPLES 68 EXERCISES 71 REFERENCES 72 4.
RINGS OF POLYNOMIALS AND FORMAL POWER SERIES 73 HISTORICAL PERSPECTIVE
73 4.1. INTRODUCTION 74 4.2. POLYNOMIAL RINGS 74 4.3. ELEMENTARY
ARITHMETIC FUNCTIONS 79 4.4. POLYNOMIALS IN SEVERAL INDETERMINATES 82
4.5. RING OF FORMAL POWER SERIES 84 4.6. FINITE FIELDS AND IRREDUCIBLE
POLYNOMIALS 94 4.7. MORE ABOUT IRREDUCIBLE POLYNOMIALS 97 4.8. NOTES
WITH ILLUSTRATIVE EXAMPLES 98 4.9. WORKED-OUT EXAMPLES 99 EXERCISES 100
REFERENCES 102 5. THE CHINESE REMAINDER THEOREM AND THE EVALUATION OF
NUMBER OF SOLUTIONS OF A LINEAR CONGRUENCE WITH SIDE CONDITIONS 105
HISTORICAL PERSPECTIVE 105 5.1. INTRODUCTION 106 5.2. THE CHINESE
REMAINDER THEOREM 106 5.3. DIRECT PRODUCTS AND DIRECT SUMS 110 5.4. EVEN
FUNCTIONS (MOD R) 120 5.5. LINEAR CONGRUENCES WITH SIDE CONDITIONS 124
5.6. THE RADEMACHER FORMULA 126 5.7. NOTES WITH ILLUSTRATIVE EXAMPLES
129 5.8. WORKED-OUT EXAMPLES 131 EXERCISES 133 REFERENCES 136 6.
RECIPROCITY LAWS 139 HISTORICAL PERSPECTIVE , 139 6.1. INTRODUCTION 140
6.2. PRELIMINARIES 140 6.3. GAUSS LEMMA 142 6.4. FINITE FIELDS AND
QUADRATIC RECIPROCITY LAW 145 6.5. CUBIC RESIDUES (MOD P) 150 6.6. GROUP
CHARACTERS AND THE CUBIC RECIPROCITY LAW 156 6.7. NOTES WITH
ILLUSTRATIVE EXAMPLES 166 6.8. A COMMENT BY W. C. WATERHOUSE 171 6.9.
WORKED-OUT EXAMPLES 172 EXERCISES 174 REFERENCES 175 7. FINITE GROUPS
177 HISTORICAL PERSPECTIVE 177 7.1. INTRODUCTION 178 7.2. CONJUGATE
CLASSES OF ELEMENTS IN A GROUP 178 7.3. COUNTING CERTAIN SPECIAL
REPRESENTATIONS OF A GROUP ELEMENT 180 7.4. NUMBER OF CYCLIC SUBGROUPS
OF A FINITE-GROUP 188 7.5. A CRITERION FOR THE UNIQUENESS OF A CYCLIC
GROUP OF ORDER R 193 7.6. NOTES WITH ILLUSTRATIVE EXAMPLES 196 7.7. A
WORKED-OUT EXAMPLE 197 7.8. AN EXAMPLE FROM QUADRATIC RESIDUES 198
EXERCISES 200 REFERENCES 201 PART II - THE RELEVANCE OF ALGEBRAIC
STRUCTURES TO NUMBER THEORY 8. ORDERED FIELDS, FIELDS WITH VALUATION AND
OTHER ALGEBRAIC STRUCTURES . . 205 HISTORICAL PERSPECTIVE 205 8.1.
INTRODUCTION 206 8.2. ORDERED FIELDS 206 8.3. VALUATION RINGS 214 8.4.
FIELDS WITH VALUATION 216 8.5. NORMED DIVISION DOMAINS 229 8.6. MODULAR
LATTICES AND JORDAN-HOLDER THEOREM 233 8.7. NON-COMMUTATIVE RINGS 244
8.8. BOOLEAN ALGEBRAS 247 8.9. NOTES WITH ILLUSTRATIVE EXAMPLES 252
8.10. WORKED-OUT EXAMPLES 255 EXERCISES 256 REFERENCES 257 9. THE ROLE
OF THE MOBIUS FUNCTION* ABSTRACT MOBIUS INVERSION 261 HISTORICAL
PERSPECTIVE \ 261 9.1. INTRODUCTION : 262 9.2. ABSTRACT MOBIUS INVERSION
262 9.3. INCIDENCE ALGEBRA OFNXN MATRICES 271 9.4. VECTOR SPACES OVER A
FINITE FIELD 273 9.5. NOTES WITH ILLUSTRATIVE EXAMPLES 281 9.6.
WORKED-OUT EXAMPLES 283 EXERCISES 285 REFERENCES 288 10. THE ROLE OF
GENERATING FUNCTIONS 291 HISTORICAL PERSPECTIVE 291 10.1. INTRODUCTION
291 10.2. EULER'S THEOREMS ON PARTITIONS OF AN INTEGER 292 10.3.
ELLIPTIC FUNCTIONS : 298 10.4. STIRLING NUMBERS AND BERNOULLI NUMBERS:
306 10.5. BINOMIAL POSETS AND GENERATING FUNCTIONS 313 10.6. DIRICHLET
SERIES 318 10.7. NOTES WITH ILLUSTRATIVE EXAMPLES 325 10.8. WORKED-OUT
EXAMPLES 327 10.9. CATALAN NUMBERS 328 EXERCISES 333 REFERENCES 336 11.
SEMIGROUPS AND CERTAIN CONVOLUTION ALGEBRAS 339 HISTORICAL PERSPECTIVE
339 11.1. INTRODUCTION 340 11.2. SEMIGROUPS 341 11.3. SEMICHARACTERS 344
11.4. FINITE DIMENSIONAL CONVOLUTION ALGEBRAS 351 1-1.5. ABSTRACT
ARITHMETICAL FUNCTIONS 358 11.6. CONVOLUTIONS IN GENERAL 361 11.7. A
FUNCTIONAL-THEORETIC ALGEBRA 364 11.8. NOTES WITH ILLUSTRATIVE EXAMPLES
366 11.9. WORKED-OUT EXAMPLES 367 EXERCISES 369 REFERENCES 371 PART III
- A GLIMPSE OF ALGEBRAIC NUMBER THEORY . 373 12. NOETHERIAN AND
DEDEKIND DOMAINS 375 HISTORICAL PERSPECTIVE 375 12.1. INTRODUCTION 375
12.2. NOETHERIAN RINGS 376 12.3. MORE ABOUT IDEALS 378 12.4. JACOBSON
RADICAL :. 384 12.5. THE LASKER-NOETHER DECOMPOSITION THEOREM 387 12.6.
DEDEKIND DOMAINS 394 12.7. THE CHINESE REMAINDER THEOREM REVISITED 410
12.8. INTEGRAL DOMAINS HAVING FINITE NORM PROPERTY 418 12.9. NOTES WITH
ILLUSTRATIVE EXAMPLES 426 12.10. WORKED-OUT EXAMPLES 428 EXERCISES , 431
REFERENCES 433 13. ALGEBRAIC NUMBER FIELDS 435 HISTORICAL PERSPECTIVE
435 13.1. INTRODUCTION 435 13.2. THE IDEAL CLASS GROUP 436 13.3.
CYCLOTOMIC FIELDS 441 13.4. HALF-FACTORIAL DOMAINS 443 13.5. THE PELL
EQUATION 447 13.6. THE CAKRAVALA METHOD 448 13.7. DIRICHLET'S UNIT
THEOREM 456 13.8. NOTES WITH ILLUSTRATIVE EXAMPLES 470 13.9. FORMALLY
REAL FIELDS 473 13.10. WORKED-OUT EXAMPLES 474 EXERCISES 477 REFERENCES
478 PART IV - SOME MORE INTERCONNECTIONS . 481 14. RINGS OF ARITHMETIC
FUNCTIONS 483 HISTORICAL PERSPECTIVE 483 14.1. INTRODUCTION 483 14.2.
CAUCHY COMPOSITION (MOD R) 484 14.3. THE ALGEBRA OF EVEN FUNCTIONS (MOD
R) 495 14.4. CARLITZ CONJECTURE 500 14.5. MORE ABOUT ZERO DIVISORS 505
14.6. CERTAIN NORM-PRESERVING TRANSFORMATIONS 506 14.7. NOTES WITH
ILLUSTRATIVE EXAMPLES 514 14.8. WORKED-OUT EXAMPLES 516 EXERCISES 519
REFERENCES 521 15. ANALOGUES OF THE GOLDBACH PROBLEM 525 HISTORICAL
PERSPECTIVE 525 15.1. INTRODUCTION 526 15.2. THE RIEMANN HYPOTHESIS 527
15.3. A FINITE ANALOGUE OF THE GOLDBACH PROBLEM 535 15.4. THE GOLDBACH
PROBLEM IN M,,(Z) 544 15.5. AN ANALOGUE OF GOLDBACH THEOREM VIA
POLYNOMIALS OVER FINITE FIELDS 549 15.6. NOTES WITH ILLUSTRATIVE
EXAMPLES 568 15.7. A VARIANT OF GOLDBACH CONJECTURE: 570 EXERCISES 571
REFERENCES 572 16. AN EPILOGUE: MORE INTERCONNECTIONS 57 7 INTRODUCTION
577 16.1. ON COMMUTATIVE RINGS 577 16.2. COMMUTATIVE RINGS WITHOUT
MAXIMAL IDEALS 581 16.3. INFINITUDE OF PRIMES IN A PID 584 16.4. ON THE
GROUP OF UNITS OF A COMMUTATIVE RING 587 16.5. QUADRATIC RECIPROCITY IN
A FINITE GROUP 592 16.6. WORKED-OUT EXAMPLES 602 REFERENCES 606
TRUE/FALSE STATEMENTS : ANSWER KEY 608 INDEX OF SOME SELECTED STRUCTURE
THEOREMS/RESULTS 609 INDEX OF SYMBOLS AND NOTATIONS 611 BIBLIOGRAPHY 615
SUBJECT INDEX 620 INDEX OF NAMES 627 |
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| ctrlnum | (OCoLC)70232397 (DE-599)BVBBV021828411 |
| dewey-full | 512.7/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7/4 |
| dewey-search | 512.7/4 |
| dewey-sort | 3512.7 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV021828411 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T15:56:27Z |
| indexdate | 2024-07-09T20:45:34Z |
| institution | BVB |
| isbn | 0824758951 |
| language | English |
| lccn | 2006048994 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015040441 |
| oclc_num | 70232397 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-20 |
| owner_facet | DE-19 DE-BY-UBM DE-20 |
| physical | 11 Bl., 632 S. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Chapman & Hall/CRC |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Sivaramakrishnan, R. Verfasser aut Certain number-theoretic episodes in algebra R. Sivaramakrishnan Boca Raton [u.a.] Chapman & Hall/CRC 2007 11 Bl., 632 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 286 Includes bibliographical references and indexes Algebraic number theory Number theory Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 s DE-604 Zahlentheorie (DE-588)4067277-3 s Pure and applied mathematics 286 (DE-604)BV000001885 286 http://www.loc.gov/catdir/enhancements/fy0661/2006048994-d.html Publisher description GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015040441&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sivaramakrishnan, R. Certain number-theoretic episodes in algebra Pure and applied mathematics Algebraic number theory Number theory Algebraische Zahlentheorie (DE-588)4001170-7 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4001170-7 (DE-588)4067277-3 |
| title | Certain number-theoretic episodes in algebra |
| title_auth | Certain number-theoretic episodes in algebra |
| title_exact_search | Certain number-theoretic episodes in algebra |
| title_exact_search_txtP | Certain number-theoretic episodes in algebra |
| title_full | Certain number-theoretic episodes in algebra R. Sivaramakrishnan |
| title_fullStr | Certain number-theoretic episodes in algebra R. Sivaramakrishnan |
| title_full_unstemmed | Certain number-theoretic episodes in algebra R. Sivaramakrishnan |
| title_short | Certain number-theoretic episodes in algebra |
| title_sort | certain number theoretic episodes in algebra |
| topic | Algebraic number theory Number theory Algebraische Zahlentheorie (DE-588)4001170-7 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Algebraic number theory Number theory Algebraische Zahlentheorie Zahlentheorie |
| url | http://www.loc.gov/catdir/enhancements/fy0661/2006048994-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015040441&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
| work_keys_str_mv | AT sivaramakrishnanr certainnumbertheoreticepisodesinalgebra |