| dc.contributor.author | Azizi, A. | en_US | 
| dc.contributor.author | Jayaram, C. | en_US | 
| dc.date.accessioned | 1399-07-08T17:45:21Z | fa_IR | 
| dc.date.accessioned | 2020-09-29T17:45:21Z |  | 
| dc.date.available | 1399-07-08T17:45:21Z | fa_IR | 
| dc.date.available | 2020-09-29T17:45:21Z |  | 
| dc.date.issued | 2011-11-01 | en_US | 
| dc.date.issued | 1390-08-10 | fa_IR | 
| dc.date.submitted | 2011-03-06 | en_US | 
| dc.date.submitted | 1389-12-15 | fa_IR | 
| dc.identifier.citation | Azizi, A., Jayaram, C.. (2011). Some applications of the product of submodules in multiplication modules. Iranian Journal of Science and Technology (Sciences), 35(4), 273-277. doi: 10.22099/ijsts.2011.2151 | en_US | 
| dc.identifier.issn | 1028-6276 |  | 
| dc.identifier.uri | https://dx.doi.org/10.22099/ijsts.2011.2151 |  | 
| dc.identifier.uri | http://ijsts.shirazu.ac.ir/article_2151.html |  | 
| dc.identifier.uri | https://iranjournals.nlai.ir/handle/123456789/28480 |  | 
| dc.description.abstract | Let R be a commutative ring with identity. Let N and K be two submodules of a multiplication R-module M. ThenN=IM and K=JM for some ideals I and J of R. The product of N and K denoted by NK is defined by NK=IJM. Inthis paper we characterize some particular cases of multiplication modules by using the product of submodules. | en_US | 
| dc.format.extent | 132 |  | 
| dc.format.mimetype | application/pdf |  | 
| dc.language | English |  | 
| dc.language.iso | en_US |  | 
| dc.publisher | Springer | en_US | 
| dc.relation.ispartof | Iranian Journal of Science and Technology (Sciences) | en_US | 
| dc.relation.isversionof | https://dx.doi.org/10.22099/ijsts.2011.2151 |  | 
| dc.subject | Multiplication ideal | en_US | 
| dc.subject | multiplication module | en_US | 
| dc.subject | prime submodule | en_US | 
| dc.subject | principal ideal multiplication module | en_US | 
| dc.subject | product of submodules | en_US | 
| dc.subject | Quasi cyclic submodule | en_US | 
| dc.title | Some applications of the product of submodules in multiplication modules | en_US | 
| dc.type | Text | en_US | 
| dc.type | Regular Paper | en_US | 
| dc.contributor.department | Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran | en_US | 
| dc.contributor.department | University of the West Indies, Department of Mathematics, Bridgetown, Barbados | en_US | 
| dc.citation.volume | 35 |  | 
| dc.citation.issue | 4 |  | 
| dc.citation.spage | 273 |  | 
| dc.citation.epage | 277 |  |