Browsing by Author "Khashan, Hani A."
Now showing items 1-8 of 8
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A new generalızatıon of (m, n)-closed ıdeals
Khashan, Hani A.; Celikel, Ece Yetkin (Springer, 2023)Let R be a commutative ring with identity. For positive integers m and n, Anderson and Badawi (Journal of Algebra and Its Applications 16(1):1750013 (21 pp), 2017) defined an ideal I of a ring R to be an (m,n)-closed if ... -
On weakly (m, n)-prıme ıdeals of commutatıve rıngs
Khashan, Hani A.; Yetkin Celikel, Ece (Korean Mathematical Society, May 2024)Let R be a commutative ring with identity and m, n be positive integers. In this paper, we introduce the class of weakly (m, n)-prime ideals generalizing (m, n)-prime and weakly (m, n)-closed ideals. A proper ideal I of R ... -
On weakly S-primary ideals of commutative rings
Celikel, Ece Yetkin; Khashan, Hani A. (WORLD SCIENTIFIC PUBL CO PTE LTD, APR 2023)Let R be a commutative ring with identity and S be a multiplicatively closed subset of R. The purpose of this paper is to introduce the concept of weakly S-primary ideals as a new generalization of weakly primary ideals. ... -
On weakly S-primary submodules
Celikel, Ece Yetkin; Khashan, Hani A. (UNIV NIS, 2023)Let R be a commutative ring with a non-zero identity, S be a multiplicatively closed subset of R and M be a unital R-module. In this paper, we define a submodule N of M with (N :R M) n S = 0 to be weakly S-primary if there ... -
Quasi J-ideals of commutative rings
Khashan, Hani A.; Celikel, Ece Yetkin (SPRINGER-VERLAG ITALIA SRL, JUN 2022)Let R be a commutative ring with identity. In this paper, we introduce the concept of quasi J-ideal which is a generalization of J-ideal. A proper ideal of R is called a quasi J-ideal if its radical is a J-ideal. Many ... -
Semi n-ideals of commutative rings
Yetkin-Çelikel, Ece; Khashan, Hani A. (Springer Nature, 2022)Let R be a commutative ring with identity. A proper ideal I is said to be an n-ideal of R if for a, b ∈ R, ab ∈ I and a∉0 imply b ∈ I. We give a new generalization of the concept of n-ideals by defining a proper ideal I ... -
Semi r-ideals of commutative rings
Khashan, Hani A.; Celikel, Ece Yetkin (OVIDIUS UNIV PRESS, MAR 1 2023)For commutative rings with identity, we introduce and study the concept of semi r-ideals which is a kind of generalization of both r-ideals and semiprime ideals. A proper ideal I of a commutative ring R is called semi ... -
Weakly J-submodules of modules over commutative rings
Khashan, Hani A.; Celikel, Ece Yetkin (WORLD SCIENTIFIC PUBL CO PTE LTD, JUL 2023)Let R be a commutative ring with identity and M be a unitary R-module. By J(R), we denote the Jacobson radical of R. The purpose of this paper is to introduce the concept of weakly J-submodules generalizing J-submodules. ...
