Some notes on graded weakly 1-absorbing primary ideals

Autor: Alshehry Azzh Saad, Abu-Dawwas Rashid, Al-Rashdan Majd
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Demonstratio Mathematica, Vol 56, Iss 1, Pp 59-73 (2023)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2023-0111
Popis: 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.
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