Graded Weakly Strongly Quasi-Primary Ideals over Commutative Graded Rings

In this article, we introduce and examine the concept of graded weakly strongly quasi primary ideals. A proper graded ideal P of R is said to be a graded weakly strongly quasi primary (shortly, Gwsq-primary) ideal if whenever 0 not equal xy is an element of P, for some homogeneous elements x,y is an element of R, then x2 is an element of P or yn is an element of P, for some positive integer n. Many examples and properties of Gwsq-primary ideals are given. Among several results, we compare Gwsq-primary ideals and other classical graded ideals such as graded strongly quasi primary ideals, graded weakly primary ideals and graded weakly 2-prime ideals etc.