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Gorenstein Projective Modules Over Triangular Matrix Rings

2014/02/19 by Hossein Eshraghi, Eshraghi, Hossein, Rasool Hafezi +5
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1402.4595

This paper is now accepted for publication in the Algebra Colloquium

arxiv created 2014/02/19 · openalex publication_date 2014/02/19 · arxiv updated 2014/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study totally acyclic complexes of projective modules over triangular matrix rings and then use it to classify Gorenstein projective modules over such rings. We also use this classification to obtain some information concerning Cohen-Macaulay finite and virtually Gorenstein triangular matrix artin algebras.

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