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Progress in Commutative Algebra 2

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Book Series: De Gruyter Proceedings in Mathematics ISBN: 9783110278590 9783110278606 Year: Pages: 325,00 DOI: 10.1515/9783110278606 Language: English
Publisher: De Gruyter Grant: Knowledge Unlatched - 102373
Added to DOAB on : 2019-04-25 11:21:03
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Abstract

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 more.

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Mathematics --- Mathematics

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