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Your search keyword '"16G60, 16G50, 18A25, 18G25, 16S50, 16S90"' showing total 2 results
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2 results on '"16G60, 16G50, 18A25, 18G25, 16S50, 16S90"'

1. On relative Auslander algebras

Author

Asadollahi, Javad and Hafezi, Rasool

Subjects
Mathematics - Representation Theory, 16G60, 16G50, 18A25, 18G25, 16S50, 16S90
Abstract

Relative Auslander algebras were introduced and studied by Beligiannis. In this paper, we apply intermediate extension functors associated to certain recollements of functor categories to study them. In particular, we study the existence of tilting-cotilting modules over such algebras. As a consequence, it will be shown that two Gorenstein algebras of G-dimension 1 being of finite Cohen-Macaulay type are Morita equivalent if and only if their Cohen-Macaulay Auslander algebras are Morita equivalent.

Published
2017

2. On relative Auslander algebras

Author

Javad Asadollahi and Rasool Hafezi

Subjects
Pure mathematics, Functor, Mathematics::Commutative Algebra, Applied Mathematics, General Mathematics, Mathematics::Rings and Algebras, Extension (predicate logic), Type (model theory), Representation theory, 16G60, 16G50, 18A25, 18G25, 16S50, 16S90, Mathematics::K-Theory and Homology, If and only if, Mathematics::Category Theory, Morita therapy, FOS: Mathematics, Representation Theory (math.RT), Mathematics::Representation Theory, Mathematics - Representation Theory, Mathematics
Abstract

Relative Auslander algebras were introduced and studied by Beligiannis. In this paper, we apply intermediate extension functors associated to certain recollements of functor categories to study them. In particular, we study the existence of tilting-cotilting modules over such algebras. As a consequence, it will be shown that two Gorenstein algebras of G-dimension 1 being of finite Cohen-Macaulay type are Morita equivalent if and only if their Cohen-Macaulay Auslander algebras are Morita equivalent.

Published
2020

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