Max-fully cancellation modules

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 11, Issue 7

Abstract

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..

Authors and Affiliations

Dr. Bothaynah Nijad Shihab, Heba Mohammad Ali Judi

Keywords

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  • EP ID EP651623
  • DOI 10.24297/jam.v11i7.1225
  • Views 134
  • Downloads 0

How To Cite

Dr. Bothaynah Nijad Shihab, Heba Mohammad Ali Judi (2015). Max-fully cancellation modules. JOURNAL OF ADVANCES IN MATHEMATICS, 11(7), 5462-5475. https://europub.co.uk/articles/-A-651623