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Quasi ideals of nearness semirings [PDF]

open access: yesCumhuriyet Science Journal, 2021
This article introduces quasi-ideals in semirings on weak nearness approximation spaces. Concepts and definitions are given to clarify the subject of quasi ideals in semirings on weak nearness approximation spaces.
Özlem Tekin
doaj   +5 more sources

On quasi-ideals of semirings [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
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.
Christoph Dönges
doaj   +5 more sources

Tri-Quasi Ideals of Γ-Semirings [PDF]

open access: yesDiscussiones 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 ...
Rao Marapureddy Murali Krishna
doaj   +3 more sources

Characterizations of Regular Ordered Semirings by Ordered Quasi-Ideals [PDF]

open access: yesInternational 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.
Pakorn Palakawong na Ayutthaya   +1 more
doaj   +5 more sources

On quasi-ideals of Γ-semihyperrings [PDF]

open access: yesJournal 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.
Jitendrasing Jaysing Patil   +1 more
doaj   +2 more sources

On Quasi-ideals and Bi-ideals in AG-Rings [PDF]

open access: yesInternational Journal of Analysis and Applications, 2023
In this paper we study some properties of quasi-ideals and bi-ideals in AG-ring and study some interesting properties of these ideals.
Tanaphong Prommai, Thiti Gaketem
doaj   +3 more sources

On quasi-ideals and bi-ideals in ternary semirings [PDF]

open access: yesInternational 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
doaj   +2 more sources

Fuzzy (Soft) Quasi-Interior Ideals of Semirings [PDF]

open access: yesTransactions 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
doaj   +3 more sources

On fuzzy quasi-prime ideals in near left almost rings [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2019
In this investigation we studied fuzzy quasi-prime, weakly fuzzy quasi-prime, fuzzy completely prime and weakly fuzzy completely prime ideals in nLA-rings.
Pairote Yiarayong
doaj   +3 more sources

Ordered Quasi(BI)-Γ-Ideals in Ordered Γ-Semirings [PDF]

open access: yesJournal of Mathematics, 2019
In this paper, we have defined ordered quasi-Γ-ideals and ordered bi-Γ-ideals in ordered Γ-semirings by defining the relation “≤” in ordered Γ semiring S as a≤b if a+x=b for any a,b,x∈S.
Ali N. A. Koam   +2 more
doaj   +2 more sources

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