Max-fully cancellation modules

Dr. Bothaynah Nijad Shihab, Heba Mohammad Ali Judi
2015 JOURNAL OF ADVANCES IN MATHEMATICS  
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
more » ... modules are studied , also the localization of max-fully cancellation module are discussed..
doi:10.24297/jam.v11i7.1225 fatcat:dzp7t4atszc5rcshbrc3btenhy