Zero-dimensional commutative rings: proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory
Based on the recent John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory held at The University of Tennessee, Knoxville, this outstanding reference presents the latest advances in zero-dimensional commutative rings and commutative algebra - illustrating the research frontier w...
Saved in:
| Format: | Conference Proceeding Book |
|---|---|
| Language: | English |
| Published: |
New York [u.a.]
Dekker
1995
|
| Series: | Lecture notes in pure and applied mathematics
171 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | Based on the recent John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory held at The University of Tennessee, Knoxville, this outstanding reference presents the latest advances in zero-dimensional commutative rings and commutative algebra - illustrating the research frontier with 52 open problems together with comments on the relevant literature. Examining wide-ranging developments in commutative ring theory, Zero-Dimensional Commutative Rings covers von Neumann regular rings ... integrality, prime ideals, and chain conditions ... integral domains, integer-valued polynomials, and factorization ... dimension theories, pullbacks, direct limits, and deformations ... Picard groups, Newton polygons, and abelian groups ... and more. |
| Physical Description: | XI, 378 S. graph. Darst. |
| ISBN: | 0824796055 |
Staff View
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| 490 | 1 | |a Lecture notes in pure and applied mathematics |v 171 | |
| 520 | 3 | |a Based on the recent John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory held at The University of Tennessee, Knoxville, this outstanding reference presents the latest advances in zero-dimensional commutative rings and commutative algebra - illustrating the research frontier with 52 open problems together with comments on the relevant literature. Examining wide-ranging developments in commutative ring theory, Zero-Dimensional Commutative Rings covers von Neumann regular rings ... integrality, prime ideals, and chain conditions ... integral domains, integer-valued polynomials, and factorization ... dimension theories, pullbacks, direct limits, and deformations ... Picard groups, Newton polygons, and abelian groups ... and more. | |
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Record in the Search Index
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| adam_text | Contents
Preface in
Contributors ix
1. Background and Preliminaries on Zero Dimensional Rings 1
Robert Gilmer
2. Zero Dimensionality and Products of Commutative Rings 15
Robert Gilmer
3. Zero Dimensional Extension Rings and Subrings 27
Robert Gilmer
4. Residue Fields of Zero Dimensional Rings 41
Robert Gilmer
5. Dimensions of Extension Rings 57
William J. Heinzer
6. Picard Groups, Cancellation, and the Multiplicative Structure of Fields 65
Robert M. Guralnick and Roger Wiegand
7. Derivations and Deformations of Zero Dimensional Rings and Algebras 81
Aleksandr G. Aleksandrov
8. The Ring R[X,r/X 95
Daniel D. Anderson and David F. Anderson
9. P. M. Cohn s Completely Primal Elements 115
Daniel D. Anderson and Muhammad Zafrullah
v
^ Contents
10. Some Factorization Properties of the Ring of Integer Valued Polynomials 125
David F. Anderson, Paul Jean Cohen, Scott T. Chapman, and
William W. Smith
11. On the Nonuniversality of Weak Normalization 143
David F. Anderson, David E. Dobbs, and Marco Fontana
12. A Visit to Valuation and Pseudo Valuation Domains 155
Ayman Badawi
13. Answer to a Question on the Principal Ideal Theorem 163
Paul Jean Cahen, Evan G. Houston, and Thomas G. Lucas
14. On the Davenport Constant, the Cross Number, and Their Application
in Factorization Theory 167
Scott T. Chapman
15. The Picard Group of a Polynomial Ring 191
Jim Coykendall
16. Integral Extensions with Fibers of Prescribed Cardinality 201
David E. Dobbs
17. Homological Dimensions of Localizations of Polynomial Rings 209
Sarah Glaz
18. Splitting Rings for p Local Torsion Free Groups 223
Sarah Glaz, Charles Vinsonhaler, and William Wickless
19. Prime Ideals in Birational Extensions of Polynomial Rings II 241
William J. Heinzer, David C. Latz, and Sylvia M. Wiegand
20. Duals of Ideals in Pullback Constructions 263
Evan G. Houston, Salah Kabbaj, Thomas G. Lucas,
and A. Mimouni
21. Cancellation and Prime Spectra 277
Jon L. Johnson
22. The Ascending Chain Condition on « Generated Submodules 281
David C. Lantz
23. More Almost Dedekind Domains and Prüfer Domains of Polynomials 287
K. Alan Loper
24. Direct Limits of Finite Products of Fields 299
Andy R. Magid
Contents vii
25. Eisenstein Type Irreducibility Criteria 307
Joe L. Mott
26. On Integer Valued Polynomials 331
S. B. Mulay
27. The Prime Spectrum of an Infinite Product of Zero Dimensional Rings 347
Jay Shapiro
28. When Is a Self Injective Ring Zero Dimensional? 357
Jinzhong Xu
29. Some Problems in Commutative Ring Theory 363
Daniel D. Anderson
Index 373
|
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV010306290 |
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| classification_rvk | SD 1994 |
| ctrlnum | (OCoLC)32132301 (DE-599)BVBBV010306290 |
| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.4 |
| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Conference Proceeding Book |
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| genre_facet | Konferenzschrift 1994 Knoxville Tenn. |
| id | DE-604.BV010306290 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:50:14Z |
| institution | BVB |
| institution_GND | (DE-588)1232966-6 |
| isbn | 0824796055 |
| language | English |
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| physical | XI, 378 S. graph. Darst. |
| publishDate | 1995 |
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| series | Lecture notes in pure and applied mathematics |
| series2 | Lecture notes in pure and applied mathematics |
| spelling | Zero-dimensional commutative rings proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory ed. by David F. Anderson ... New York [u.a.] Dekker 1995 XI, 378 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in pure and applied mathematics 171 Based on the recent John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory held at The University of Tennessee, Knoxville, this outstanding reference presents the latest advances in zero-dimensional commutative rings and commutative algebra - illustrating the research frontier with 52 open problems together with comments on the relevant literature. Examining wide-ranging developments in commutative ring theory, Zero-Dimensional Commutative Rings covers von Neumann regular rings ... integrality, prime ideals, and chain conditions ... integral domains, integer-valued polynomials, and factorization ... dimension theories, pullbacks, direct limits, and deformations ... Picard groups, Newton polygons, and abelian groups ... and more. Algèbres commutatives - Congrès ram Anneaux commutatifs - Congrès ram Commutative algebra Congresses Commutative rings Congresses Dimension 0 (DE-588)4363737-1 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1994 Knoxville Tenn. gnd-content Kommutativer Ring (DE-588)4164825-0 s DE-604 Dimension 0 (DE-588)4363737-1 s Anderson, David F. Sonstige oth John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory 1994 Knoxville, Tenn. Sonstige (DE-588)1232966-6 oth Lecture notes in pure and applied mathematics 171 (DE-604)BV005871364 171 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006858088&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zero-dimensional commutative rings proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory Lecture notes in pure and applied mathematics Algèbres commutatives - Congrès ram Anneaux commutatifs - Congrès ram Commutative algebra Congresses Commutative rings Congresses Dimension 0 (DE-588)4363737-1 gnd Kommutativer Ring (DE-588)4164825-0 gnd |
| subject_GND | (DE-588)4363737-1 (DE-588)4164825-0 (DE-588)1071861417 |
| title | Zero-dimensional commutative rings proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory |
| title_auth | Zero-dimensional commutative rings proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory |
| title_exact_search | Zero-dimensional commutative rings proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory |
| title_full | Zero-dimensional commutative rings proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory ed. by David F. Anderson ... |
| title_fullStr | Zero-dimensional commutative rings proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory ed. by David F. Anderson ... |
| title_full_unstemmed | Zero-dimensional commutative rings proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory ed. by David F. Anderson ... |
| title_short | Zero-dimensional commutative rings |
| title_sort | zero dimensional commutative rings proceedings of the 1994 john h barrett memorial lectures and conference on commutative ring theory |
| title_sub | proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory |
| topic | Algèbres commutatives - Congrès ram Anneaux commutatifs - Congrès ram Commutative algebra Congresses Commutative rings Congresses Dimension 0 (DE-588)4363737-1 gnd Kommutativer Ring (DE-588)4164825-0 gnd |
| topic_facet | Algèbres commutatives - Congrès Anneaux commutatifs - Congrès Commutative algebra Congresses Commutative rings Congresses Dimension 0 Kommutativer Ring Konferenzschrift 1994 Knoxville Tenn. |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006858088&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005871364 |
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