Max-fully cancellation modules

Authors

  • Dr. Bothaynah Nijad Shihab College of Education for pure Science /Ibn-AL-Haitham, University of Baghdad , Baghdad,
  • Heba Mohammad Ali Judi College of Education for pure Science /Ibn-AL-Haitham, University of Baghdad , Baghdad,

DOI:

https://doi.org/10.24297/jam.v11i7.1225

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..

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Author Biographies

  • Dr. Bothaynah Nijad Shihab, College of Education for pure Science /Ibn-AL-Haitham, University of Baghdad , Baghdad,
    Department of Mathematics
  • Heba Mohammad Ali Judi, College of Education for pure Science /Ibn-AL-Haitham, University of Baghdad , Baghdad,
    Department of Mathematics
JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2015-11-20

Issue

Vol. 11 No. 7 (2015)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Max-fully cancellation modules. (2015). JOURNAL OF ADVANCES IN MATHEMATICS, 11(7), 5462-5475. https://doi.org/10.24297/jam.v11i7.1225