UID:
edocfu_9958353916502883
Format:
1 online resource (325p.)
ISBN:
9783110278606
Series Statement:
De Gruyter Proceedings in Mathematics
Content:
This is the second of two volumes of a state-of-the-art survey article collection which emanates 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. 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 theory, graded situation and its interactions with combinatorics and geometry). This second volume discusses closures, decompositions, and factorization.
Note:
Frontmatter --
,
Preface --
,
Contents --
,
A Guide to Closure Operations in Commutative Algebra --
,
A Survey of Test Ideals --
,
Finite-dimensional Vector Spaces with Frobenius Action --
,
Finiteness and Homological Conditions in Commutative Group Rings --
,
Regular Pullbacks --
,
Noetherian Rings without Finite Normalization --
,
Krull Dimension of Polynomial and Power Series Rings --
,
The Projective Line over the Integers --
,
On Zero Divisor Graphs --
,
A Closer Look at Non-Unique Factorization via Atomic Decay and Strong Atoms
,
In English.
Additional Edition:
ISBN 978-3-11-027859-0
Language:
English
DOI:
10.1515/9783110278606
URL:
https://doi.org/10.1515/9783110278606