نتایج جستجو برای: gorenstein rings

تعداد نتایج: 49625  

Journal: :Kyoto Journal of Mathematics 1976

Journal: :Journal of Pure and Applied Algebra 1990

2008
Dorin Popescu

In this thesis, we focus on the study of the base rings associated to some transversal polymatroids. A transversal polymatroid is a special kind of discrete polymatroid. Discrete polymatroids were introduced by Herzog and Hibi [16] in 2002. The thesis is structured in four chapters. Chapter 1 starts with a short excursion into convex geometry. Next, we look at some properties of affine semigrou...

1999
ANURAG K. SINGH

A Noetherian integral domain R is said to be a splinter if it is a direct summand, as an R–module, of every module–finite extension ring, see [Ma]. In the case that R contains the field of rational numbers, it is easily seen that R is splinter if and only if it is a normal ring, but the notion is more subtle for rings of characteristic p > 0. It is known that F–regular rings of characteristic p...

2004
PETER JØRGENSEN

Tate cohomology was originally defined over finite groups. More recently, Avramov and Martsinkovsky showed how to extend the definition so that it now works well over Gorenstein rings. This paper improves the theory further by giving a new definition that works over more general rings, specifically, those with a dualizing complex. The new definition of Tate cohomology retains the desirable prop...

Journal: :Proceedings of the American Mathematical Society 2015

Journal: :Archiv der Mathematik 2008

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