Advances in Commutative Ring Theory / Edition 1

by David Dobbs

Overview

"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."

Product Details

ISBN-13:	9781138402171
Publisher:	Taylor & Francis
Publication date:	06/28/2018
Series:	Lecture Notes in Pure and Applied Mathematics
Pages:	574
Product dimensions:	6.88(w) x 9.69(h) x (d)

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).