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Cubic Quasi-ideal of Semigroups
Missouri Journal of Mathematical Sciences, 2021The concept of cubic quasi-ideal in semigroups is introduced in this paper and the author studies the basic properties of it. Moreover, he obtains some necessary and sufficient conditions for a cubic bi-ideal in a semigroup to be a cubic quasi-ideal.
Thiti Gaketem
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IEEE Transactions on Cybernetics, 2015
The definition for ideal memory system is so strict that some physical elements cannot exist in the real world. In this paper, an ideal memory system can be extended to generate 15 different kinds of quasi-ideal memory systems, which are included in memory systems as its special cases and are different from ideal memory system.
Junwei Sun
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The definition for ideal memory system is so strict that some physical elements cannot exist in the real world. In this paper, an ideal memory system can be extended to generate 15 different kinds of quasi-ideal memory systems, which are included in memory systems as its special cases and are different from ideal memory system.
Junwei Sun
exaly +4 more sources
The product of quasi-ideal adequate transversals of an abundant semigroup
Semigroup Forum, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kong, Xiangjun, Wang, Pei
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Acta Mathematica Hungarica, 1984
A quasi-ideal Q of a ring A is an additive subgroup of A such that A\(Q\cap QA\subseteq Q\). The intersection of a left ideal and a right ideal is always a quasi-ideal but the converse is not true (a counterexample was constructed by A. H. Clifford [see \textit{O. Steinfeld}, Quasi-ideals in rings and semigroups (1978; Zbl 0403.16001), p. 8]).
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A quasi-ideal Q of a ring A is an additive subgroup of A such that A\(Q\cap QA\subseteq Q\). The intersection of a left ideal and a right ideal is always a quasi-ideal but the converse is not true (a counterexample was constructed by A. H. Clifford [see \textit{O. Steinfeld}, Quasi-ideals in rings and semigroups (1978; Zbl 0403.16001), p. 8]).
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Cubic bi-quasi ideals of semigroups
Journal of Discrete Mathematical Sciences and Cryptography, 2021In this paper, we introduce the notion a cubic bi-quasi ideal of semigroup and we characterize the regular semigroup in terms of a cubic bi-quasi ideal of a semigroup.
P. Khamrot, T. Gaketem
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Fuzzy semiprime quasi-ideals in semigroups
Information Sciences, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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