2-absorbing and strongly 2-absorbing secondary submodules of modules

2016/10/03 by H. Ansari-Toroghy, Ansari-Toroghy, H., F. Farshadifar +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1610.00565

openalex publication_date 2016/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we will introduce the concept of 2-absorbing (resp. strongly 2-absorbing) secondary submodules of modules over a commutative ring as a generalization of secondary modules and investigate some basic properties of these classes of modules.

Citations

• Classical 2-absorbing submodules of modules over commutative rings

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• S-2-absorbing submodules and S-2-absorbing second submodules
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