Browsing by Author "Khashan, Hani A."
Now showing items 18 of 8

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 Sprimary 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 Sprimary ideals as a new generalization of weakly primary ideals. ... 
On weakly Sprimary submodules
Celikel, Ece Yetkin; Khashan, Hani A. (UNIV NIS, 2023)Let R be a commutative ring with a nonzero identity, S be a multiplicatively closed subset of R and M be a unital Rmodule. In this paper, we define a submodule N of M with (N :R M) n S = 0 to be weakly Sprimary if there ... 
Quasi Jideals of commutative rings
Khashan, Hani A.; Celikel, Ece Yetkin (SPRINGERVERLAG ITALIA SRL, JUN 2022)Let R be a commutative ring with identity. In this paper, we introduce the concept of quasi Jideal which is a generalization of Jideal. A proper ideal of R is called a quasi Jideal if its radical is a Jideal. Many ... 
Semi nideals of commutative rings
YetkinÇelikel, Ece; Khashan, Hani A. (Springer Nature, 2022)Let R be a commutative ring with identity. A proper ideal I is said to be an nideal of R if for a, b ∈ R, ab ∈ I and a∉0 imply b ∈ I. We give a new generalization of the concept of nideals by defining a proper ideal I ... 
Semi rideals 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 rideals which is a kind of generalization of both rideals and semiprime ideals. A proper ideal I of a commutative ring R is called semi ... 
Weakly Jsubmodules 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 Rmodule. By J(R), we denote the Jacobson radical of R. The purpose of this paper is to introduce the concept of weakly Jsubmodules generalizing Jsubmodules. ...