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- Title
On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings.
- Authors
Mahdou, Najib; Oubouhou, El Houssaine; Celikel, Ece Yetkin
- Abstract
Let R be a commutative ring with identity, and let S be a multiplicative subset of R. Then R is called a nonnil-S-Noetherian ring if every nonnil ideal of R is S-finite. Also, R is called a u-S-Noetherian ring if there exists an element s ∈ S such that for each ideal I of R, sI ⊆ K for some finitely generated sub-ideal K of I. In this paper, we examine some new characterization of nonnil-S-Noetherian rings. Then, as a generalization of nonnil-S-Noetherian rings and u-S-Noetherian rings, we introduce and investigate the nonnilu-S-Noetherian rings class.
- Subjects
NOETHERIAN rings; COMMUTATIVE rings; GENERALIZATION
- Publication
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2024, Vol 32, Issue 1, p201
- ISSN
1224-1784
- Publication type
Article
- DOI
10.2478/auom-2024-0011