On endomorphism algebras with small homological dimensions

Mark Kleiner; Andrzej Skowroñski; Dan Zacharia

doi:10.2969/jmsj/1191593912

On endomorphism algebras with small homological dimensions

Mark Kleiner, Andrzej Skowroñski, Dan Zacharia

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We investigate the endomorphism algebras Γ of finite dimensional modules having the property that every indecomposable finite dimensional G-module is of projective dimension at most one or injective dimension at most one. In particular, we describe all matrix algebras [A 0 A A] with this homological property.

Original language	English (US)
Pages (from-to)	621-648
Number of pages	28
Journal	Journal of the Mathematical Society of Japan
Volume	54
Issue number	3
DOIs	https://doi.org/10.2969/jmsj/1191593912
State	Published - 2002

Keywords

Endomorphism algebra
Projective and injective dimension
Triangular matrix algebra

ASJC Scopus subject areas

General Mathematics

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10.2969/jmsj/1191593912

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title = "On endomorphism algebras with small homological dimensions",

abstract = "We investigate the endomorphism algebras Γ of finite dimensional modules having the property that every indecomposable finite dimensional G-module is of projective dimension at most one or injective dimension at most one. In particular, we describe all matrix algebras [A 0 A A] with this homological property.",

keywords = "Endomorphism algebra, Projective and injective dimension, Triangular matrix algebra",

author = "Mark Kleiner and Andrzej Skowro{\~n}ski and Dan Zacharia",

year = "2002",

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AU - Kleiner, Mark

AU - Skowroñski, Andrzej

AU - Zacharia, Dan

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AB - We investigate the endomorphism algebras Γ of finite dimensional modules having the property that every indecomposable finite dimensional G-module is of projective dimension at most one or injective dimension at most one. In particular, we describe all matrix algebras [A 0 A A] with this homological property.

KW - Endomorphism algebra

KW - Projective and injective dimension

KW - Triangular matrix algebra

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On endomorphism algebras with small homological dimensions

Abstract

Keywords

ASJC Scopus subject areas

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