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A. Pirkovskii (1999)
Studia Mathematica
A certain class of Arens-Michael algebras having no non-zero injective topological ⨶-modules is introduced. This class is rather wide and contains, in particular, algebras of holomorphic functions on polydomains in , algebras of smooth functions on domains in , algebras of formal power series, and, more generally, any nuclear Fréchet-Arens-Michael algebra which has a free bimodule Koszul resolution.
Flávio Coelho, Andrzej Skowroński (1996)
Fundamenta Mathematicae
An artin algebra A over a commutative artin ring R is called quasitilted if gl.dim A ≤ 2 and for each indecomposable finitely generated A-module M we have pd M ≤ 1 or id M ≤ 1. In [11] several characterizations of quasitilted algebras were proven. We investigate the structure and homological properties of connected components in the Auslander-Reiten quiver of a quasitilted algebra A.
Edgar E. Enochs, Jenda M. G. Overtoun (1994)
Commentationes Mathematicae Universitatis Carolinae
In this paper, we use a characterization of -modules such that to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting to be the local cohomology functor of with respect to the maximal ideal where is the Krull dimension of .
R. Kiełpiński (1978)
Colloquium Mathematicae
D. Simson (1974)
Colloquium Mathematicae
Daniel Simson (1977)
Fundamenta Mathematicae
Khusainov, A.A. (2001)
Sibirskij Matematicheskij Zhurnal
K.R. Fuller, M. Saorín (1992)
Manuscripta mathematica
Daniel Simson (1982)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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