In this note we study trace ideals of canonical modules. Characterizations of the trace ideals
in terms of annihilators of certain Ext modules are given. We apply our results to study many …

The purpose of this paper is, as part of the stratification of Cohen–Macaulay rings, to
investigate the question of when the fiber products are almost Gorenstein rings. We show …

In this work we study two classical objects in algebra-maximal Cohen-Macaulay and
reflexive modules. We show the existence of a small Cohen-Macaulay module or algebra for …

Univariate polynomial rings over fields exhibit well-studied and well-understood properties;
however, if we restrict our attention to polynomials in the variables xs for some positive …