Open AccessMax-fully cancellation modules
Author(s) -
Bothaynah Nijad Shihab,
Heba Mohammad Ali Judi
Publication year - 2015
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v11i7.1225
Subject(s) - mathematics , commutative ring , ideal (ethics) , unital , trace (psycholinguistics) , ring (chemistry) , identity (music) , commutative property , discrete mathematics , pure mathematics , combinatorics , algebra over a field , topology (electrical circuits) , organic chemistry , linguistics , physics , acoustics , epistemology , philosophy , chemistry
Let R be a commutative ring with identity and let M be a unital an R`-module. We introduce the concept of max-fully cancellation R-module , where an R-module M is called max-fully cancellation if for every nonzero maximal ideal I of R and every two submodules N1And N2, of M such that IN1 =IN2 , implies = N1 and N2 . some characterization of this concept is given and some properties of this concept are proved. The direct sum and the trace of module with max-fully cancellation modules are studied , also the localization of max-fully cancellation module are discussed..
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