Progress in Commutative Algebra 2. Closures, Finiteness and Factorization (Record no. 68351)
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| fixed length control field | 03040naaaa2200337uu 4500 |
| 001 - CONTROL NUMBER | |
| control field | https://directory.doabooks.org/handle/20.500.12854/57156 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220220053840.0 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783110278606 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783110278606 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1515/9783110278606 |
| Terms of availability | doi |
| 041 0# - LANGUAGE CODE | |
| Language code of text/sound track or separate title | English |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | dc |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Francisco, Christopher |
| Relationship | auth |
| 245 10 - TITLE STATEMENT | |
| Title | Progress in Commutative Algebra 2. Closures, Finiteness and Factorization |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Name of publisher, distributor, etc. | De Gruyter |
| Date of publication, distribution, etc. | 2012 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 electronic resource (325 p.) |
| 506 0# - RESTRICTIONS ON ACCESS NOTE | |
| Terms governing access | Open Access |
| Source of term | star |
| Standardized terminology for access restriction | Unrestricted online access |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This is the second of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 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. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and one by Enescu which discusses the action of the Frobenius on finite dimensional vector spaces both of which are related to tight closure. Finiteness properties of rings and modules or the lack of them come up in all aspects of commutative algebra. However, in the study of non-noetherian rings it is much easier to find a ring having a finite number of prime ideals. The editors have included papers by Boynton and Sather-Wagstaff and by Watkins that discuss the relationship of rings with finite Krull dimension and their finite extensions. Finiteness properties in commutative group rings are discussed in Glaz and Schwarz's paper. And Olberding's selection presents us with constructions that produce rings whose integral closure in their field of fractions is not finitely |
| 536 ## - FUNDING INFORMATION NOTE | |
| Text of note | Knowledge Unlatched |
| 540 ## - TERMS GOVERNING USE AND REPRODUCTION NOTE | |
| Terms governing use and reproduction | Creative Commons |
| Use and reproduction rights | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Source of term | cc |
| -- | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
| 546 ## - LANGUAGE NOTE | |
| Language note | English |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Closure |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Commutative Algebra |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Decomposition |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Factorization |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Vassilev, Janet C. |
| Relationship | auth |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Klingler, Lee C. |
| Relationship | auth |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sather-Wagstaff, Sean M. |
| Relationship | auth |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Host name | www.oapen.org |
| Uniform Resource Identifier | <a href="https://doi.org/10.1515/9783110278606">https://doi.org/10.1515/9783110278606</a> |
| Access status | 0 |
| Public note | DOAB: download the publication |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Host name | www.oapen.org |
| Uniform Resource Identifier | <a href="https://directory.doabooks.org/handle/20.500.12854/57156">https://directory.doabooks.org/handle/20.500.12854/57156</a> |
| Access status | 0 |
| Public note | DOAB: description of the publication |
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