Sean Sather-Wagstaff

TL;DR: In this paper, it was shown that an iteration of the procedure used to define the Gorenstein projective modules over a commutative ring R yields exactly the same GPs.

TL;DR: In this article, a theory of G-dimension for modules over local homomorphisms was developed, which encompasses the classical theory of g-dimension of finite modules for finite modules over the local rings, and it was shown that a local ring R of characteristic p is Gorenstein if and only if it pos- sesses a nonzero finite module of finite projective dimension that has finite G-dimensional when considered as an R-module via some power of the Frobenius endomorphism of R.

TL;DR: A survey of zero divisor graphs can be found in this article, where the authors consider the problem of classifying star graphs with any finite number of vertices and show that the girth of a Noetherian ring is 3.

TL;DR: In this paper, it was shown that the set S (R ) of shift-isomorphism classes of semidualizing complexes over a local ring R admits a nontrivial metric.

TL;DR: In this article, the authors investigated the properties of GC-flat R-modules where C is a semidualizing module over a commutative noetherian ring R and proved that the category of all R-flat modules is part of a weak AB- context, in the terminology of Hashimoto.