The Gorenstein-projective modules over a monomial algebra

2015/01/13 by Xiao‐Wu Chen, Dawei Shen, Chen, Xiao-Wu +3
Mathematics · Physics and Astronomy · #16E65 #16G10 #18G25 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1501.02978

openalex publication_date 2015/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify indecomposable non-projective Gorenstein-projective modules over a monomial algebra via the notion of perfect paths. We apply this classification to a quadratic monomial algebra and describe explicitly the stable category of its Gorenstein-projective modules.

Citations

• Stable module theory

Related

• The stable category of Gorenstein-projective modules over a monomial algebra
• On stable modules that are not Gorenstein projective
• Invariants and Gorenstein projective modules
• A description of Gorenstein projective modules over the tensor products of algebras
• A generalization of strongly Gorenstein projective modules