شماره ركورد كنفرانس :
5263
عنوان مقاله :
Strongly irreducible submodules in a Noetherian module
پديدآورندگان :
Sedghi Monireh m_sedghi@tabrizu.ac.ir Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran. , Naghipour Reza naghipour@ipm.ir Department of Mathematics, University of Tabriz, Tabriz, Iran.
كليدواژه :
Arithmetical module , irreducible submodule , multiplication module , strongly irreducible submodule , prime submodule , primal submodule
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
The purpose of this talk is to present some properties of the strongly irreducible submodules in a Noetherian module over a commutative ring. The relationship among the families of strongly irreducible submodules, irreducible submodules, prime submodules and primal submodules is proved. Also, several new characterizations of the arithmetical modules are given. In the case when the ring is Noetherian, severalcharacterizations of strongly irreducible submodules are included.
