Some new Subcategories and homological dimensions related to Semidualizing modules

2015/08/24 by M. Rahmani, Rahmani, M., A. J. Taherizadeh +2
Mathematics · #13C05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #msc:13C05

paper · pdf · doi:10.48550/arxiv.1508.05805

27 pages

openalex publication_date 2015/08/24 · arxiv created 2015/08/25 · arxiv updated 2015/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, by using the semidualizing modules, we define and study new classes of modules and homological dimensions and investigate the relations between them. In parallel, we obtain some necessary and sufficient condition for C to be dualizing.

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