Trivial Extensions of Abelian Categories: Homological Algebra of Trivial Extensions of Abelian Categories with Applications to Ring Theory

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Author(s): Dr. Robert M. Fossum, Dr. Phillip A. Griffith, Dr. Idun Reiten (auth.)
Series: Lecture Notes in Mathematics 456
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1975

Language: English
Pages: 126
Tags: Mathematics, general

Preliminaries....Pages 1-2
Generalities....Pages 3-23
Coherence....Pages 24-34
Duality and the Gorenstein property....Pages 35-51
Homological dimensions in A ⋉ F....Pages 52-86
Gorenstein modules....Pages 87-103
Dominant dimension of finite algebras....Pages 104-112
Representation dimension of finite algebras....Pages 113-116