@article { author = {Ebrahimpour, M.}, title = {SOME REMARKS ON GENERALIZATIONS OF MULTIPLICATIVELY CLOSED SUBSETS}, journal = {Journal of Algebraic Systems}, volume = {4}, number = {1}, pages = {15-27}, year = {2016}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2016.725}, abstract = {Let R be a commutative ring with identity and Mbe a unitary R-module. In this paper we generalize the conceptmultiplicatively closed subset of R and we study some propertiesof these genaralized subsets of M. Among the many results in thispaper, we generalize some well-known theorems about multiplicativelyclosed subsets of R to these generalized subsets of M. Alsowe show that some other well-known results about multiplicativelyclosed subsets of R are not valid for these generalized subsets ofM.}, keywords = {Multiplication module,Multiplicatively closed subset of R,(n}, url = {https://jas.shahroodut.ac.ir/article_725.html}, eprint = {https://jas.shahroodut.ac.ir/article_725_cb149f0b8733858d64345565c0ffefb6.pdf} }