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   classical 2-absorbing secondary submodules  
   
نویسنده farshadifar faranak
منبع journal of algebraic systems - 2020 - دوره : 8 - شماره : 1 - صفحه:7 -15
چکیده    In this work, we introduce the concept of classical 2-absorbing secondary modules over a commutative ring as a generalization of secondary modules and investigate some basic properties of this class of modules. let r be a commutative ring with identity. we say that a non-zero submodule n of an r-module mis a classical 2-absorbing secondary submodule of m if whenever a; b ∈ r, k is a submodule of m and abn ⊆ k, then an ⊆ k or bn ⊆ k or ab ∈ √ annr(n). this can be regarded as a dual notion of the 2-absorbing primary submodule.
کلیدواژه secondary module ,2-absorbing primary ideal ,classical 2-absorbing secondary module
آدرس farhangian university, department of mathematics, iran
پست الکترونیکی f.farshadifar@cfu.ac.ir
 
     
   
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