Results 111 to 120 of about 109,991,266 (129)
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2023
In this paper, we introduce two new types of ideals. The first of these is a soft primary ideal, a generalization of the soft prime ideal. We work theoretically and practically in the first part on this new concept. One of the most important results we have achieved is that the concept of a soft primary ideal is a generalization of a soft prime ideal ...
Filiz çıtak, IBRAHIM HALIL KANAT
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In this paper, we introduce two new types of ideals. The first of these is a soft primary ideal, a generalization of the soft prime ideal. We work theoretically and practically in the first part on this new concept. One of the most important results we have achieved is that the concept of a soft primary ideal is a generalization of a soft prime ideal ...
Filiz çıtak, IBRAHIM HALIL KANAT
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Some results concerning uniformly (1-absorbing) primary ideals
Journal of Algebra and Its ApplicationsLet [Formula: see text] be a commutative ring with [Formula: see text]. A proper ideal [Formula: see text] of [Formula: see text] is said to be a uniformly 1-absorbing primary if there exits a fixed [Formula: see text] and whenever [Formula: see text] for some nonunits [Formula: see text] then [Formula: see text] or [Formula: see text]. In addition to
Khaled Alhazmy +3 more
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Strongly S-1-absorbing primary ideals of commutative rings
Asian-European Journal of MathematicsLet [Formula: see text] be a commutative ring with identity and [Formula: see text] be a multiplicative closed subset of [Formula: see text]. In this paper, we introduce and study the concept of strongly [Formula: see text]-1-absorbing primary ideals as subclass of primary ideals.
Kamal Krishna Pathak, Jituparna Goswami
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Principally 1-Absorbing Right Primary Ideals
Journal of New TheoryThis paper first defines the 1-absorbing version of principally right primary ideals (P1ARP ideals), generalizing prime ideals, for noncommutative rings. It then investigates various properties of this ideal structure in different ring settings. It obtains some essential results in ring extensions, such as homomorphic images, product rings, local rings,
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On Strongly-S-1-Absorbing Primary Ideals Over Commutative Rings
Ricerche Di Matematicaexaly +2 more sources
On weakly 1-absorbing primary fuzzy ideals of commutative rings
AIP Conference Proceedings, 2023S. Sujitha, D. Sivakumar
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Rings in Which Every 2-Absorbing Primary Ideal Is Primary
Beitrage Zur Algebra Und Geometrie, 2021Mohammed Issoual
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On Weakly 1-Absorbing Primary Ideals of Commutative Rings
Algebra Colloquium, 2022Ece Yetkin Celikel, Ayman Badawi
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ON GRADED STRONGLY 1-ABSORBING PRIMARY IDEALS AND GRADED 2-ABSORBING I-PRIMARY IDEALS
Given a group G with identity element e and a G-graded commutative ring R with unity 1. This paper introduces a new concept, namely, graded strongly 1-absorbing primary ideals, which is a subclass of the graded 1-absorbing primary ideals. A proper graded ideal I of R is said to be a graded strongly 1-absorbing primary ideal of R if whenever non-unit ...openaire +1 more source
On Graded 2-Absorbing Primary and Graded Weakly 2-Absorbing Primary Ideals
Journal of the Korean Mathematical Society, 2017Khaldoun Al-Zoubi
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