Some notes on graded weakly 1-absorbing primary ideals

• Autorzy: Alshehry Azzh Saad , Abu-Dawwas Rashid , Al-Rashdan Majd

Identyfikatory

DOI

10.1515/dema-2023-0111

• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

graded prime ideal; graded primary ideal; graded 1-absorbing primary ideal; graded weakly primary ideal; graded weakly 1-absorbing primary ideal

PL

ideał pierwszy; ideał prymarny; teoria pierścieni

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20230111
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Alshehry Azzh Saad

• Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

autor

Abu-Dawwas Rashid

• Department of Mathematics, Yarmouk University, Irbid 21163, Jordan

autor

Al-Rashdan Majd

• Department of Mathematics, Yarmouk University, Irbid 21163, Jordan

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).