The trace of the canonical module (the canonical trace) determines the non-Gorenstein
locus of a local Cohen-Macaulay ring. We call a local Cohen-Macaulay ring nearly …

Tensor products of some special rings Page 1 Journal of Algebra 268 (2003) 672–676 www.elsevier.com/locate/jalgebra
Tensor products of some special rings ✩ Masoud Tousi a,b and Siamak Yassemia,c a …

Reiten has demonstrated that the trivial Hochschild extension of a Cohen-Macaulay local
ring by a canonical module is a Gorenstein local ring. Here it is proved that any commutative …

Motivated by recent work of Knorrer [17], Buchweitz, Greuel and Schreyer [9] who proved
that a hypersurface singularity R over C is of finite Cohen-Macaulay representation type if …

In this paper we solve a problem, originally raised by Grothendieck, on the transfer of Cohen–
Macaulayness to tensor products of algebras over a field k. As a prelude to this, we …

Let k be a perfect valuation field and let R be a local analytic k-algebra, which is always
assumed to be Cohen-Macaulay. In the present paper we are interested in the category C …

Barucci and Fröberg (1997)[2] introduced the notion of an almost Gorenstein ring in the case
of an analytically unramified local ring (R, m). In this work we provide a framework that …

Given surjective homomorphisms R→ T← S of local rings, and ideals in R and S that are
isomorphic to some T-module V, the connected sum R⋕ TS is defined to be the ring …

Some criteria for the Gorenstein property - ScienceDirect Skip to main contentSkip to article
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This book is a lightly edited version of the unpublished manuscript Maximal Cohen–
Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz …