Progress in commutative algebra. (Record no. 902)
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| fixed length control field | 05297cam a2200541Ii 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn795120010 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20210822113957.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 120611s2012 gw o 000 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | EBLCP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | EBLCP |
| Modifying agency | OCLCQ |
| -- | N$T |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783110278606 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 311027860X (electronic bk.) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)795120010 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | 456811 |
| -- | (N$T) |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 014000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.2 |
| Edition number | 23 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | N$TA |
| 245 00 - TITLE STATEMENT | |
| Title | Progress in commutative algebra. |
| Number of part/section of a work | 2, |
| Name of part/section of a work | Closures, finiteness and factorization / |
| Statement of responsibility, etc. | edited by Christopher Francisco ... [and others]. |
| 246 30 - VARYING FORM OF TITLE | |
| Title proper/short title | Closures, finiteness and factorization |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Berlin ; |
| -- | Boston : |
| Name of producer, publisher, distributor, manufacturer | De Gruyter, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (328 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | De Gruyter Proceedings in mathematics |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface; A Guide to Closure Operations in Commutative Algebra; 1 Introduction; 2 What Is a Closure Operation?; 2.1 The Basics; 2.2 Not-quite-closure Operations; 3 Constructing Closure Operations; 3.1 Standard Constructions; 3.2 Common Closures as Iterations of Standard Constructions; 4 Properties of Closures; 4.1 Star-, Semi-prime, and Prime Operations; 4.2 Closures Defined by Properties of (Generic) Forcing Algebras; 4.3 Persistence; 4.4 Axioms Related to the Homological Conjectures; 4.5 Tight Closure and Its Imitators; 4.6 (Homogeneous) Equational Closures and Localization. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5 Reductions, Special Parts of Closures, Spreads, and Cores5.1 Nakayama Closures and Reductions; 5.2 Special Parts of Closures; 6 Classes of Rings Defined by Closed Ideals; 6.1 When Is the Zero Ideal Closed?; 6.2 When Are 0 and Principal Ideals Generated by Non-zerodivisors Closed?; 6.3 When Are Parameter Ideals Closed (Where R Is Local)?; 6.4 When Is Every Ideal Closed?; 7 Closure Operations on (Sub)modules; 7.1 Torsion Theories; A Survey of Test Ideals; 1 Introduction; 2 Characteristic p Preliminaries; 2.1 The Frobenius Endomorphism; 2.2 F-purity; 3 The Test Ideal. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3.1 Test Ideals of Map-pairs3.2 Test Ideals of Rings; 3.3 Test Ideals in Gorenstein Local Rings; 4 Connections with Algebraic Geometry; 4.1 Characteristic 0 Preliminaries; 4.2 Reduction to Characteristic p> 0 and Multiplier Ideals; 4.3 Multiplier Ideals of Pairs; 4.4 Multiplier Ideals vs. Test Ideals of Divisor Pairs; 5 Tight Closure and Applications of Test Ideals; 5.1 The Brianðcon-Skoda Theorem; 5.2 Tight Closure for Modules and Test Elements; 6 Test Ideals for Pairs (R, at) and Applications; 6.1 Initial Definitions of at -test Ideals; 6.2 at -tight Closure; 6.3 Applications. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 7 Generalizations of Pairs: Algebras of Maps8 Other Measures of Singularities in Characteristic p; 8.1 F-rationality; 8.2 F-injectivity; 8.3 F-signature and F-splitting Ratio; 8.4 Hilbert-Kunz( -Monsky) Multiplicity; 8.5 F-ideals, F-stable Submodules, and F-pure Centers; A Canonical Modules and Duality; A.1 Canonical Modules, Cohen-Macaulay and Gorenstein Rings; A.2 Duality; B Divisors; C Glossary and Diagrams on Types of Singularities; C.1 Glossary of Terms; Finite-dimensional Vector Spaces with Frobenius Action; 1 Introduction; 2 A Noncommutative Principal Ideal Domain. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3 Ideal Theory and Divisibility in Noncommutative PIDs3.1 Examples in K{F}; 4 Matrix Transformations over Noncommutative PIDs; 5 Module Theory over Noncommutative PIDs; 6 Computing the Invariant Factors; 6.1 Injective Frobenius Actions on Finite Dimensional Vector Spaces over a Perfect Field; 7 The Antinilpotent Case; Finiteness and Homological Conditions in Commutative Group Rings; 1 Introduction; 2 Finiteness Conditions; 3 Homological Dimensions and Regularity; 4 Zero Divisor Controlling Conditions; Regular Pullbacks; 1 Introduction; 2 Some Background; 3 Pullbacks of Noetherian Rings. 4 Pullbacks of Prèufer Rings. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This is the second of two volumes of a state-of-the-art survey article collection which emanates from three commutative algebra sessions atthe 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. The current trends in two of the most active areas of commutative algebra are presented: non-noetherian rings (factorization, ideal theory, integrality), advances from the homological study of noetherian rings (the local theo. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on print version record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Commutative algebra. |
| 9 (RLIN) | 4671 |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Algebra. |
| 9 (RLIN) | 4672 |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Commutative algebra. |
| 9 (RLIN) | 4671 |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS / Group Theory |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 4673 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 9 (RLIN) | 313 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Francisco, Christopher. |
| 9 (RLIN) | 4674 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | De Gruyter Proceedings in mathematics. |
| 9 (RLIN) | 4675 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | EBSCOhost |
| Uniform Resource Identifier | <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=456811">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=456811</a> |
| 938 ## - | |
| -- | EBL - Ebook Library |
| -- | EBLB |
| -- | EBL913344 |
| 910 ## - USER-OPTION DATA (OCLC) | |
| User-option data | cpp5723 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-books |
| 994 ## - | |
| -- | 02 |
| -- | N$T |
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