Title of article :
DIFFERENT TYPES OF G-PRIME IDEALS ASSOCIATED TO A GRADED MODULE and GRADED PRIMARY DECOMPOSITION IN A GRADED PRÜFER DOMAIN
Author/Authors :
Uddin Ansari, Ajim Department of Mathematics - University of Allahabad Allahabad, India , Sharma, B. K Department of Mathematics - University of Allahabad Allahabad, India , Datt Kumar, Shiv Department of Mathematics - Motilal Nehru National Institute of Technology Allahabad, India
Abstract :
In this paper, we introduce the notion of graded Pr¨ufer domain
as a generalization of Pr¨ufer domain to the graded case. We generalize several
types of prime ideals associated to a module over a ring to the graded case
and prove that most of them coincide over a graded Pr¨ufer domain. Moreover,
we investigate the graded primary decomposition of graded ideals in a graded
Pr¨ufer domain under certain conditions and give some applications of it.
Keywords :
Graded ring , graded module , graded Prüfer domain , graded primary decomposition
Journal title :
International Electronic Journal of Algebra
