Graded weakly 1-absorbing primary ideals

• Autorzy: Bataineh Malik , Abu-Dawwas Rashid

Identyfikatory

DOI

10.1515/dema-2022-0214

• Języki publikacji: EN

Abstrakty

EN

Let G be a group and R be a G-graded commutative ring with nonzero unity 1. In this article, we introduce the concept of graded weakly 1-absorbing primary ideals which is a generalization of graded 1-absorbing primary ideal. A proper graded ideal P of R is said to be a graded weakly 1-absorbing primary ideal of R if whenever nonunit elements x y z ∈ h(R), , such that 0 ≠ ∈ xyz ∈ P, then xy ∈ P or zn ∈ P , for some n ∈ N . Several properties of graded weakly 1-absorbing primary ideals are investigated.

Słowa kluczowe

EN

graded prime ideal; graded weakly prime ideal; graded primary ideal; graded weakly primary ideal; graded 2-absorbing primary ideal; graded weakly 2-absorbing primary ideal; graded 2-absorbing ideal; graded weakly 2-absorbing ideal; graded n-absorbing ideal

PL

ideał pierwszy; ideał prymarny; teoria pierścieni

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220214
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Bataineh Malik

• Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan

autor

Abu-Dawwas Rashid

• 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).