Results 1 to 10 of about 1,588,438 (243)
The product of quasi-ideal refined generalised quasi-adequate transversals
Open Mathematics, 2019 As the real common generalisations of both orthodox transversals and adequate transversals in the abundant case, the concept of refined generalised quasi-adequate transversal, for short, RGQA transversal was introduced by Kong and Wang. In this paper, an
Yong Wu
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Tri-quasi ideals of Γ-semirings
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal, bi-ideal, quasi ideal, interior ideal, bi-interior ideal,weak interior ideal, bi-quasi ideal, tri-ideal,quasi-interior ideal and bi-quasi-interior ideal of Γ-semiring.
Rao Marapureddy Murali Krishna
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On quasi-ideals of Γ-semihyperrings [PDF]
Journal of Hyperstructures, 2019 The concept of quasi-ideals, minimal quasi-ideals for Γsemihyperrings are introduced. Characterization of quasi-ideals and of minimal quasi-ideals of Γ-semihyperring with the help of ideals of Γ-semihyperrings have been taken into account. It is proved that for a Γ-semihyperring R with zero, one can find a quasi-ideal of R generated by X, where X is ...
Patil, Jitendrasing Jaysing +1 more
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On quasi‐ideals of semirings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 Several statements on quasi‐ideals of semirings are given in this paper, where these semirings may have an absorbing element O or not. In Section 2 we characterize regular semirings and regular elements of semi‐rings using quasi‐ideals (cf. Thms. 2.1, 2.2 and 2.7). In Section 3 we deal with (O−)minimal and canonical quasi‐ideals.
Christoph Dönges
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Quasi-ideal Ehresmann transversals: The spined product structure
Open Mathematics, 2021 In any U-abundant semigroup with an Ehresmann transversal, two significant components R and L are introduced in this paper and described by Green’s ∼\sim -relations.
Kong Xiangjun, Wang Pei, Tang Jian
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On quasi‐ideals and bi‐ideals in ternary semirings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We introduce the notions of quasi‐ideal and bi‐ideal in ternary semirings and study some properties of these two ideals. We also characterize regular ternary semiring in terms of these two subsystems of ternary semirings.
S. Kar
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Characterizations of Regular Ordered Semirings by Ordered Quasi-Ideals [PDF]
International Journal of Mathematics and Mathematical Sciences, 2016 We introduce the notion of an ordered quasi-ideal of an ordered semiring and show that ordered quasi-ideals and ordered bi-ideals coincide in regular ordered semirings. Then we give characterizations of regular ordered semirings, regular ordered duo-semirings, and left (right) regular ordered semirings by their ordered quasi-ideals.
Pakorn Palakawong na Ayutthaya +1 more
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Fuzzy (Soft) Quasi-Interior Ideals of Semirings [PDF]
Transactions on Fuzzy Sets and Systems, 2022 In this paper, as a further generalization of fuzzy ideals, we introduce the notion of a fuzzy (soft) quasi-interior ideals of semirings and characterize regular semiring in terms of fuzzy (soft) quasi-interior ideals of semirings. We prove that $(\
Arsham Borumand Saeid +3 more
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Fuzzy weakly irreducible ideals of a ring [PDF]
Journal of Hyperstructures, 2021 In this paper, we introduce the concept of a fuzzy weakly irreducible ideal of a commutative ring R with identity.This concept is a generalization of the concept of a fuzzy strongly irreducible ideal.
Jyoti A. Khubchandani +1 more
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 Suppose that A be an abelain ring with identity, B be a unitary (left) A-module, in this paper ,we introduce a type of modules ,namely Quasi-semiprime A-module, whenever is a Prime Ideal For proper submodule N of B,then B is called Quasi ...
Muntaha Abdul- Razaq Hasan
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