Advances in Commutative Ring Theory: 1st Edition (Paperback) book cover

Advances in Commutative Ring Theory

1st Edition

Edited by David Dobbs

CRC Press

576 pages

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Paperback: 9780824771478
pub: 1999-03-04
Hardback: 9781138402171
pub: 2018-06-28

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"Presents the proceedings of the recently held Third International Conference on Commutative Ring Theory in Fez, Morocco. Details the latest developments in commutative algebra and related areas-featuring 26 original research articles and six survey articles on fundamental topics of current interest. Examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry."

Table of Contents

Group rings R/G/ with 4-generated ideals when R is an Artinian ring with the 2-generatory property; pi-domains without identity; extensions of unique factorization - a survey; root closure in commutative rings - a survey; on the class group of A+XB/X/ domains; rooty and root closed domains; foliations, spectral topology and special morphisms; hermite and weakly semi-Steinitz properties in pullbacks; the dimension of tensor products of commutative algebras over a zero-dimensional ring; the characteristic sequence of integer-valued polynomials on a subset; Skolem properties and integer-valued polynomials - a survey; multiplicative groups of fields; factorization in anti-matter rings; divisor properties inherited by normsets of rings of integers; on the probability that Eisenstein's criterion applies to an arbitrary irreducible polynomial; when is D+M n-coherent and an (n,d)-domain?; Kaplansky ideal transform - a survey; polynomial closure in essential domains and pullbacks; polynomial functions in finite commutative rings; Koszul algebras; primary decomposition of ideals; primary decomposition of ideals in polynomial rings; Prufer (##)-domains and localizing systems of ideals; building Noetherian domains inside an ideal-adic completion 11; trace properties and integral domains; pullbacks and coherent-like properties; classification of plane cubic curves; commutative monoid rings with n-generated ideals; about GCD domains; semi-normality and t-closedness of algebraic orders; failure of Krull-Schmidt for direct sums of copies of a module. (Part contents).

About the Series

Lecture Notes in Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Algebra / General