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Displaying 61 – 79 of 79

There is no analog of the transpose map for infinite matrices.

Juan Jacobo Simón (1997)

Publicacions Matemàtiques

In this note we show that there are no ring anti-isomorphism between row finite matrix rings. As a consequence we show that row finite and column finite matrix rings cannot be either isomorphic or Morita equivalent rings. We also show that antiisomorphisms between endomorphism rings of infinitely generated projective modules may exist.

Thick subcategories of the stable module category

D. Benson, Jon Carlson, Jeremy Rickard (1997)

Fundamenta Mathematicae

We study the thick subcategories of the stable category of finitely generated modules for the principal block of the group algebra of a finite group G over a field of characteristic p. In case G is a p-group we obtain a complete classification of the thick subcategories. The same classification works whenever the nucleus of the cohomology variety is zero. In case the nucleus is nonzero, we describe some examples which lead us to believe that there are always infinitely many thick subcategories concentrated...

Tilting Modules of Finite Projective Dimension.

Yoichi Miyashita (1986)

Mathematische Zeitschrift

Tilting sheaves in representation theory of algebras.

Dagmar Baer (1988)

Manuscripta mathematica

Tilting theory - an introduction

I. Assem (1990)

Banach Center Publications

Topological Hochschild cohomology and generalized Morita equivalence.

Baker, Andrew, Lazarev, Andrey (2004)

Algebraic & Geometric Topology

Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras.

P. Enache, C. Nastasescu, B. Torrecillas (2006)

Publicacions Matemàtiques

We show the Tychonoff's theorem for a Grothendieck category with a set of small projective generators. Strictly quasi-finite objects for semiartinian Grothendieck categories are characterized. We apply these results to the study of the Morita duality of dual algebra of a coalgebra.

Topologically semiperfect rings

Enrico Gregorio (1991)

Rendiconti del Seminario Matematico della Università di Padova

Torsion free types

John Dauns (1991)

Fundamenta Mathematicae

Torsion modules behaving like torsion Abelian groups

M. Zubair Khan (1980)

Matematički Vesnik

Totally reflexive modules with respect to a semidualizing bimodule

Zhen Zhang, Xiaosheng Zhu, Xiaoguang Yan (2013)

Czechoslovak Mathematical Journal

Let $S$ and $R$ be two associative rings, let $_{S} C_{R}$ be a semidualizing $(S, R)$ -bimodule. We introduce and investigate properties of the totally reflexive module with respect to $_{S} C_{R}$ and we give a characterization of the class of the totally $C_{R}$ -reflexive modules over any ring $R$ . Moreover, we show that the totally $C_{R}$ -reflexive module with finite projective dimension is exactly the finitely generated projective right $R$ -module. We then study the relations between the class of totally reflexive modules and the Bass class...

Towards the Jantzen conjecture. III

A. Joseph (1980)

Compositio Mathematica

Transparent rings and their extensions.

Bhat, Vijay Kumar (2009)

The New York Journal of Mathematics [electronic only]

Treating the exceptional cases of the MeatAxe.

Ivanyos, Gábor, Lux, Klaus (2000)

Experimental Mathematics

Trisections of module categories

José A. de la Peña, Idun Reiten (2007)

Colloquium Mathematicae

Let A be a finite-dimensional algebra over a field k. We discuss the existence of trisections (mod₊ A,mod₀ A,mod₋ A) of the category of finitely generated modules mod A satisfying exactness, standardness, separation and adjustment conditions. Many important classes of algebras admit trisections. We describe a construction of algebras admitting a trisection of their module categories and, in special cases, we describe the structure of the components of the Auslander-Reiten quiver lying in mod₀ A.

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