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   quasi z^circ-submodules of reduced multiplication modules  
   
نویسنده farshadifar faranak
منبع journal of mahani mathematical research - 2025 - دوره : 14 - شماره : 1 - صفحه:407 -415
چکیده    ‎the purpose of this paper is to define and investigate the notion of quasi $z^circ$-submodules of modules over a  commutative ring as an extension of $z^circ$-ideals of commutative rings. also, we obtain some related results when m is a reduced multiplication r-module.
کلیدواژه multiplication module ,reduced module ,$z^circ$-ideal ,$z^circ$-submodule ,quasi $z^circ$-submodule.
آدرس farhangian university, department of mathematics education, iran
پست الکترونیکی f.farshadifar@cfu.ac.ir
 
     
   
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