شماره ركورد كنفرانس :
3502
عنوان مقاله :
Generalization of Some Well-known Results in Rings to Modules
Author/Authors :
M Ebrahimpour School of Mathematics - Vali-e-Asr University of Rafsanjan
كليدواژه :
Noetherian rings , local rings , finitely generated modules , multiplication modules , faithful modules
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
Let R be a commutative Noetherian ring, M be a non-zero finitely generated R−module and I be an ideal of R with IM ≠ M . In this paper we are going to generalize the RadI to M − RadI and we study some properties of M − RadI. Also, we are going to study other generalizations of some results in rings to modules.