Commutative algebra: constructive methods: finite projective modules
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Springer
2015
|
| Series: | Algebra and Applications
20 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XLIX, 996 S.) 80 illus |
| ISBN: | 9789401799447 |
| ISSN: | 1572-5553 |
| DOI: | 10.1007/978-94-017-9944-7 |
Staff View
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Record in the Search Index
| _version_ | 1804174942245224448 |
|---|---|
| adam_text | COMMUTATIVE ALGEBRA: CONSTRUCTIVE METHODS
/ LOMBARDI, HENRI
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
EXAMPLES
THE BASIC LOCAL-GLOBAL PRINCIPLE AND SYSTEMS OF LINEAR EQUATIONS
THE METHOD OF UNDETERMINED COEFFICIENTS
FINITELY PRESENTED MODULES
FINITELY GENERATED PROJECTIVE MODULES.-EXAMPLES
THE BASIC LOCAL-GLOBAL PRINCIPLE AND SYSTEMS OF LINEAR EQUATIONS
THE METHOD OF UNDETERMINED COEFFICIENTS
FINITELY PRESENTED MODULES
FINITELY GENERATED PROJECTIVE MODULES, 1
STRICTLY FINITE ALGEBRAS AND GALOIS ALGEBRAS
THE DYNAMIC METHOD
FLAT MODULES
LOCAL RINGS, OR JUST ABOUT
FINITELY GENERATED PROJECTIVE MODULES, 2
DISTRIBUTIVE LATTICES, LATTICE-GROUPS
PRUEFER AND DEDEKIND RINGS
KRULL DIMENSION
THE NUMBER OF GENERATORS OF A MODULE
THE LOCAL-GLOBAL PRINCIPLE
EXTENDED PROJECTIVE MODULES
SUSLIN’S STABILITY THEOREM
ANNEX
CONSTRUCTIVE LOGIC
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
COMMUTATIVE ALGEBRA: CONSTRUCTIVE METHODS
/ LOMBARDI, HENRI
: 2015
ABSTRACT / INHALTSTEXT
TRANSLATED FROM THE POPULAR FRENCH EDITION, THIS BOOK OFFERS A DETAILED
INTRODUCTION TO VARIOUS BASIC CONCEPTS, METHODS, PRINCIPLES, AND RESULTS
OF COMMUTATIVE ALGEBRA. IT TAKES A CONSTRUCTIVE VIEWPOINT IN COMMUTATIVE
ALGEBRA AND STUDIES ALGORITHMIC APPROACHES ALONGSIDE SEVERAL ABSTRACT
CLASSICAL THEORIES. INDEED, IT REVISITS THESE TRADITIONAL TOPICS WITH A
NEW AND SIMPLIFYING MANNER, MAKING THE SUBJECT BOTH ACCESSIBLE AND
INNOVATIVE. THE ALGORITHMIC ASPECTS OF SUCH NATURALLY ABSTRACT TOPICS AS
GALOIS THEORY, DEDEKIND RINGS, PRUEFER RINGS, FINITELY GENERATED
PROJECTIVE MODULES, DIMENSION THEORY OF COMMUTATIVE RINGS, AND OTHERS IN
THE CURRENT TREATISE, ARE ALL ANALYSED IN THE SPIRIT OF THE GREAT
DEVELOPERS OF CONSTRUCTIVE ALGEBRA IN THE NINETEENTH CENTURY. THIS
UPDATED AND REVISED EDITION CONTAINS OVER 350 WELL-ARRANGED EXERCISES,
TOGETHER WITH THEIR HELPFUL HINTS FOR SOLUTION. A BASIC KNOWLEDGE OF
LINEAR ALGEBRA, GROUP THEORY, ELEMENTARY NUMBER THEORY AS WELL AS THE
FUNDAMENTALS OF RING AND MODULE THEORY IS REQUIRED. COMMUTATIVE ALGEBRA:
CONSTRUCTIVE METHODS WILL BE USEFUL FOR GRADUATE STUDENTS, AND ALSO
RESEARCHERS, INSTRUCTORS, AND THEORETICAL COMPUTER SCIENTISTS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Lombardi, Henri Quitté, Claude |
| author_facet | Lombardi, Henri Quitté, Claude |
| author_role | aut aut |
| author_sort | Lombardi, Henri |
| author_variant | h l hl c q cq |
| building | Verbundindex |
| bvnumber | BV042730501 |
| classification_rvk | SK 230 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)915875434 (DE-599)BVBBV042730501 |
| dewey-full | 512.44 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.44 |
| dewey-search | 512.44 |
| dewey-sort | 3512.44 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-017-9944-7 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:08:24Z |
| institution | BVB |
| isbn | 9789401799447 |
| issn | 1572-5553 |
| language | English |
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| series | Algebra and Applications |
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| spelling | Lombardi, Henri Verfasser aut Algèbre commutative, méthodes constructives Commutative algebra: constructive methods finite projective modules Henri Lombardi ; Claude Quitté Dordrecht [u.a.] Springer 2015 1 Online-Ressource (XLIX, 996 S.) 80 illus txt rdacontent c rdamedia cr rdacarrier Algebra and applications 20 1572-5553 Mathematics Algebra / Data processing Algebra Field theory (Physics) Matrix theory Commutative Rings and Algebras Field Theory and Polynomials Linear and Multilinear Algebras, Matrix Theory Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 s 1\p DE-604 Quitté, Claude Verfasser aut Erscheint auch als Druckausgabe 978-94-017-9943-0 Algebra and Applications 20 (DE-604)BV035482291 20 https://doi.org/10.1007/978-94-017-9944-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161531&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161531&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lombardi, Henri Quitté, Claude Commutative algebra: constructive methods finite projective modules Algebra and Applications Mathematics Algebra / Data processing Algebra Field theory (Physics) Matrix theory Commutative Rings and Algebras Field Theory and Polynomials Linear and Multilinear Algebras, Matrix Theory Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Kommutative Algebra (DE-588)4164821-3 gnd |
| subject_GND | (DE-588)4164821-3 |
| title | Commutative algebra: constructive methods finite projective modules |
| title_alt | Algèbre commutative, méthodes constructives |
| title_auth | Commutative algebra: constructive methods finite projective modules |
| title_exact_search | Commutative algebra: constructive methods finite projective modules |
| title_full | Commutative algebra: constructive methods finite projective modules Henri Lombardi ; Claude Quitté |
| title_fullStr | Commutative algebra: constructive methods finite projective modules Henri Lombardi ; Claude Quitté |
| title_full_unstemmed | Commutative algebra: constructive methods finite projective modules Henri Lombardi ; Claude Quitté |
| title_short | Commutative algebra: constructive methods |
| title_sort | commutative algebra constructive methods finite projective modules |
| title_sub | finite projective modules |
| topic | Mathematics Algebra / Data processing Algebra Field theory (Physics) Matrix theory Commutative Rings and Algebras Field Theory and Polynomials Linear and Multilinear Algebras, Matrix Theory Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Kommutative Algebra (DE-588)4164821-3 gnd |
| topic_facet | Mathematics Algebra / Data processing Algebra Field theory (Physics) Matrix theory Commutative Rings and Algebras Field Theory and Polynomials Linear and Multilinear Algebras, Matrix Theory Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Kommutative Algebra |
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