Results 21 to 30 of about 6,421 (176)
On simpleness of semirings and complete semirings [PDF]
Journal of Algebra and Its Applications, 2014 In this paper, we investigate various classes of semirings and complete semirings regarding the property of being ideal-simple, congruence-simple, or both. Among other results, we describe (complete) simple, i.e. simultaneously ideal- and congruence-simple, endomorphism semirings of (complete) idempotent commutative monoids; we show that the concepts ...
Katsov, Yefim +2 more
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A New Approach to Evaluate Regular Semirings in terms of Bipolar Fuzzy k-Ideals Using k-Products
Journal of Mathematics, 2022 In this paper, we provide a generalized form of ideals that is k-ideals of semirings with the combination of a bipolar fuzzy set (BFS). The BFS is a generalization of fuzzy set (FS) that deals with uncertain problems in both positive and negative aspects.
Shahida Bashir +3 more
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Morita contexts, ideals, and congruences for semirings with local units; pp. 252–259 [PDF]
Proceedings of the Estonian Academy of Sciences, 2018 We consider Morita contexts for semirings that have certain local units but not necessarily an identity element. We show that the existence of a Morita context with unitary bisemimodules and surjective maps implies that the two semirings involved have ...
Laur Tooming
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Multiplicatively idempotent semirings [PDF]
Mathematica Bohemica, 2015 Let \((S,+,\cdot)\) be an additively commutative semiring with absorbing zero \(0\) and identity \(1\). It is shown that \((S,\cdot)\) is idempotent if and only if there exist positive integers \(n\) and \(m\geq 2\) such that \(x^{n+1}=x^n\) and \(x^m=x\) for all \(x\in S\).
Chajda, Ivan +2 more
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Vague Bi-Quasi-Interior Ideals of Γ-Semirings
International 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
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On bi-ideals of Γ-semihyperrings [PDF]
Journal of Hyperstructures, 2023 The concept of Γ-semihyperrings is a generalization of semirings, semihyperrings and Γ-semirings. The notion of bi-ideals and minimal bi-ideals in Γ-semihyperrings is introduced with several examples.
Jitendrasing Jaysing Patil +1 more
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BRICS Report Series, 2000 One of the most well-known induction principles in computer science<br />is the fixed point induction rule, or least pre-fixed point rule. Inductive <br />*-semirings are partially ordered semirings equipped with a star operation<br />satisfying the fixed point equation and the fixed point induction rule for<br />linear terms ...
Ésik, Zoltán, Kuich, Werner
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Siberian Mathematical Journal, 2023 AbstractWe prove that each element of a complete atomic $ l $-semiring has a canonical decomposition. We also find some sufficient conditions for the decomposition to be unique that are expressed by first-order sentences. As a corollary, we obtain a theorem of Avgustinovich–Frid which claims that each factorial language has the unique canonical ...
Ts. Ch.-D. Batueva, M. V. Schwidefsky
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Invertible Ideals and Gaussian Semirings [PDF]
, 2017 In the first section of this paper, we introduce the notions of fractional and invertible ideals of semirings and characterize invertible ideals of a semidomain.
Ghalandarzadeh, Shaban +2 more
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An Efficient Approach to Approximate Fuzzy Ideals of Semirings Using Bipolar Techniques
Mathematics, 2022 The bipolar fuzzy (BF) set is an extension of the fuzzy set used to solve the uncertainty of having two poles, positive and negative. The rough set is a useful mathematical technique to handle vagueness and impreciseness.
Muhammad Shabir +3 more
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