Geodesic
Weakly J-ideals of commutative rings
Filomat, Tome 36 (2022) no. 2, p. 485

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DOI

Let R be a commutative ring with non-zero identity. In this paper, we introduce the concept of weakly J-ideals as a new generalization of J-ideals. We call a proper ideal I of a ring R a weakly J-ideal if whenever a, b ∈ R with 0 ab ∈ I and a J(R), then b ∈ I. Many of the basic properties and characterizations of this concept are studied. We investigate weakly J-ideals under various contexts of constructions such as direct products, localizations, homomorphic images. Moreover, a number of examples and results on weakly J-ideals are discussed. Finally, the third section is devoted to the characterizations of these constructions in an amalgamated ring along an ideal
DOI : 10.2298/FIL2202485K
Classification : 13A15, 13A18, 13A99
Keywords: weakly J-ideal, J-ideal, quasi J-ideal 
Hani A Khashan; Yetkin Celikel. Weakly J-ideals of commutative rings. Filomat, Tome 36 (2022) no. 2, p. 485 . doi: 10.2298/FIL2202485K
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     author = {Hani A Khashan and Yetkin Celikel},
     title = {Weakly {J-ideals} of commutative rings},
     journal = {Filomat},
     pages = {485 },
     year = {2022},
     volume = {36},
     number = {2},
     doi = {10.2298/FIL2202485K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202485K/}
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