Properties of ϕ-Primal Graded Ideals

Let R be a commutative graded ring with unity 1≠0. A proper graded ideal of R is a graded ideal I of R such that I≠R. Let ϕ:I(R)→I(R)∪{∅} be any function, where I(R) denotes the set of all proper graded ideals of R. A homogeneous element a∈R is ϕ-prime to I if ra∈I-ϕ(I) where r is a homogeneous elem...

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Bibliographic Details
Main Author: Ameer Jaber
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2017/3817479