Advances in Commutative Ring Theory

"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."

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).

David Dobbs