Results 11 to 20 of about 53 (50)
On Krull′s intersection theorem of fuzzy ideals
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 4, Page 251-262, 2003., 2003 We deal with Krull′s intersection theorem on the ideals of a commutative Noetherian ring in the fuzzy setting. We first characterise products of finitely generated fuzzy ideals in terms of fuzzy points. Then, we study the question of uniqueness and existence of primary decompositions of fuzzy ideals.
V. Murali, B. B. Makamba
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Nagata rings and directed unions of Artinian subrings
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 71, Page 4465-4471, 2003., 2003 We investigate when a Nagata ring R(X) can be written as a directed union of Artinian subrings. For a family of zero‐dimensional rings {Rα} α∈A, we show that ∏α∈ARα(Xα) is not a directed sum of Artinian subrings.
D. Karim
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Some results on the total zero-divisor graph of a commutative ring [PDF]
Arab Journal of Mathematical SciencesPurposeThe purpose of this paper is to characterize a commutative ring R with identity which is not an integral domain such that ZT(R), the total zero-divisor graph of R is connected and to determine the diameter and radius of ZT(R) whenever ZT(R) is ...
Subramanian Visweswaran
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Submodules Satisfying the Uniformly Classical S‐Primary Property
Journal of Mathematics, Volume 2026, Issue 1, 2026.We define uniformly classical S‐primary submodules, where S is a multiplicatively closed subset. A submodule W of an H‐module E with (W:HE)∩S = ∅ is said to be a uniformly classical S‐primary submodule if ∃s ∈ S and k∈Z+ such that whenever ηγν ∈ W for η, γ ∈ H, ν ∈ E, then sην ∈ W or (sγ)kν ∈ W.
Osama A. Naji +4 more
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Zero-Dimensionality and Serre Rings [PDF]
, 2004 2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R is expressible as a directed union of Artinian ...
Karim, D.
core
On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet 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.
Mahdou Najib +2 more
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Veterinary Dermatology, Volume 36, Issue 1, Page 74-82, February 2025.Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs +2 more
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On Soft Near‐Prime Int‐Ideals and Soft 1‐Absorbing Prime Int‐Ideals With Applications
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we aimed to introduce two different generalizations of the soft prime int‐ideal and clarify the relationships between the soft prime int‐ideal and the substructures of a ring. First, we explored new algebraic features of the soft prime int‐ideal.
İbrahim Halil Kanat +2 more
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Square-difference factor absorbing submodules of modules over commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet R be a commutative ring with identity and M an unitary R-module. Recently, in [5], Anderson, Badawi and Coykendalla defined a proper ideal I of R to be a square-difference factor absorbing ideal (sdf-absorbing ideal) of R if whenever a2 − b2 ∈ I for ...
Khashan Hani A., Celikel Ece Yetkin
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On 2-nil Primary Ideals of Commutative Rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThe present article addresses the concept of 2-nil primary ideals in commutative rings, expanding the comprehension of ideal categories such as 2-nil, 2-absorbing ideals, and quasi-primary ideals. The study explores the characteristics and connections of
Qaralleh Izzat +2 more
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