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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   +3 more sources

Quasi ideals of nearness semirings

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   +4 more sources

Tri-Quasi Ideals of Γ-Semirings

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   +2 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 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   +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   +3 more sources

An efficient approach to study multi-polar fuzzy ideals of semirings [PDF]

open access: yesScientific Reports
The multi polar fuzzy (m-PF) set has an extensive range of implementations in real world problems related to the multi-polar information, multi-index and multi-attributes data. This paper introduces innovative extensions to algebraic structures.
Shahida Bashir   +5 more
doaj   +2 more sources

Vague Bi-Quasi-Interior Ideals of Γ-Semirings

open access: yesInternational Journal of Analysis and Applications, 2023
In this paper, we introduce and study the concept of vague bi-quasi-interior ideals of Γ-semirings as a generalization of vague bi-ideals, vague quasi-ideals, vague interior ideals, vague bi-quasi-interior ideals, and vague bi-quasi-interior ideals of Γ ...
Y. Bhargavi   +2 more
doaj   +1 more source

Generalization of f-Graphs and Their Algebraic Aspects

open access: yesJournal of Mathematics, 2023
The notion of f-graphs and f-ideals are relatively new and have been studied in many papers. In this paper, we have generalized the idea of f-graphs and f-ideals to quasi f-graphs and quasi f-ideals, respectively. We have characterized all quasi f-graphs
Fazal Ur Rehman   +3 more
doaj   +1 more source

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   +1 more source

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