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Partial Finitely Generated Bi-Ideals
2016 18th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2016Partial words have been studied by Blanchet-Sadri et al., but bi-ideals or reccurrent words have been studied for centuries by many researchers. This paper gives a solution for some problems for partial reccurrent words. This paper gives an algorithm for a given finitely generated bi-ideal, how to construct a new basis of ultimately finitely generated ...
Raivis Bets, Janis Buls
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Generalized fuzzy bi-ideals of semigroups
Soft Computing, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Osman Kazanci, Sultan Yamak
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Bounded Bi-ideals and Linear Recurrence
2013 15th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2013Bounded bi-ideals are a subclass of uniformly recurrent words. We introduce the notion of completely bounded bi-ideals by imposing a restriction on their generating base sequences. We prove that a bounded bi-ideal is linearly recurrent if and only if it is completely bounded.
Inese Berzina, Janis Buls, Raivis Bets
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On minimal bi-ideal elements of an le-semigroup
Afrika Matematika, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Kumbhakar, B. Mondal, A. K. Bhuniya
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Fuzzy generalized Bi-ideals in semigroups
Information Sciences, 1992The paper deals with fuzzy subsemigroups of a semigroup [cf. \textit{N. Kuroki}, ibid. 53, No. 3, 203-236 (1991; Zbl 0714.20052), \textit{X. P. Wang, W. J. Liu}, ibid. 68, No. 3, 225-231 (1993; Zbl 0794.20065)]. The characterization of regular semigroups by generalized bi-ideals [cf. \textit{S. Lajos}, Proc. Conf., Szeged 1976, Colloq. Math. Soc. János
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On bi-ideal elements in poe-AG-groupoid
2021Summary: In this paper we introduce the concept of ideal and bi-ideal elements in poe-AG-groupoid and give some characterizations and properties of their bi-ideal elements. So we consider some results concerning bi-ideals in poe-semigroups and investigate them in poe-AG-groupoids.
Shabani, Alireza +1 more
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Quaestiones Mathematicae, 1983
Abstract Prime and semiprime bi-ideals in associative rings are defined. This provides a setting for a generalization of the well-known theorem that a commutative ring is Von Neumann regular iff every ideal is semiprime.
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Abstract Prime and semiprime bi-ideals in associative rings are defined. This provides a setting for a generalization of the well-known theorem that a commutative ring is Von Neumann regular iff every ideal is semiprime.
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The identity problem of finitely generated bi-ideals
Acta Informatica, 2012The study of bi-ideal sequences stems from the concept of a bi-ideal in a free semigroup. Beside a purely algebraic motivation of the research, it is worth mentioning that finitely generated bi-ideals may serve as stream cipher keystream generators in cryptography.
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Semiprime rings with D.C.C. on principal bi-ideals
Periodica Mathematica Hungarica, 1986The main result of the paper is the equivalence of the following conditions: 1) A is a semiprime ring with d.c.c. on bi-ideals of the form aAb, a,b\(\in A\); 2) A is semiprime with d.c.c. on principal bi-ideals; 3) A is semiprime and A coincides with its right socle; 4) Every finite subset of A can be embedded in a bi-ideal of A which is semiprime ...
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ON PRIME FUZZY BI-IDEALS OF SEMIGROUPS
2010In this paper, we introduce and study the prime, strongly prime, semiprime and irreducible fuzzy bi-ideals of a semigroup. We characterize those semigroups for which each fuzzy bi-ideal is semiprime. We also characterize those semigroups for which each fuzzy bi-ideal is strongly prime.
Shabir, Muhammad +2 more
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