Some notes on graded weakly 1-absorbing primary ideals

Abstract

A proper graded ideal PP of a commutative graded ring RR is called graded weakly 1-absorbing primary if whenever x,y,zx,y,z are nonunit homogeneous elements of RR with 0≠xyz∈P0\ne xyz\in P, then either xy∈Pxy\in P or zz is in the graded radical of PP. In this article, we explore more results on graded weakly 1-absorbing primary ideals.

Keywords

• graded prime ideal
• graded primary ideal
• graded 1-absorbing primary ideal
• graded weakly primary ideal
• graded weakly 1-absorbing primary ideal
• 13a02
• 13a15
• 16w50