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oapen-20.500.12657-252062021-11-08T10:17:31Z Progress in Commutative Algebra 2 Sather-Wagstaff, Sean M. Francisco, Christopher Klingler, Lee Vassilev, Janet C. Mathematics Mathematics 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. 2019-04-25 23:55 2020-03-21 03:00:30 2020-04-01T10:30:27Z 2020-04-01T10:30:27Z 2012-04-26 book 1004886 OCN: 817079246 9783110278606 http://library.oapen.org/handle/20.500.12657/25206 eng application/pdf n/a 1004886.pdf De Gruyter 102373 2b386f62-fc18-4108-bcf1-ade3ed4cf2f3 b818ba9d-2dd9-4fd7-a364-7f305aef7ee9 9783110278606 Knowledge Unlatched (KU) 102373 KU Select 2018: STEM Backlist Books Knowledge Unlatched open access
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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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