2022/03/03 by Al-Shorman, Tamem, Bataineh, Malik, Abu-Dawwas, Rashid
#13A02 #16W50 #FOS: Mathematics #General Mathematics (math.GM)
paper · doi:10.48550/arxiv.2203.04092
The goal of this article is to present the graded weakly S-primary ideals and g-weakly S-primary ideals which are extensions of graded weakly primary ideals. Let R be a commutative graded ring, S⊆ h(R) and P be a graded ideal of R. We state P is a graded weakly S-primary ideal of R if there exists s∈ S such that for all x,y ∈ h(R), if 0≠ xy∈ P, then sx∈ P or sy∈ Grad(P) (the graded radical of P). Several properties and characteristics of graded weakly S-primary ideals as well as graded g-weakly S-primary ideals are investigated.