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The Structure of Semiconic Idempotent Commutative Residuated Lattices [PDF]
MathematicsIn this paper, we study semiconic idempotent commutative residuated lattices. After giving some properties of such residuated lattices, we obtain a structure theorem for semiconic idempotent commutative residuated lattices. As an application, we make use
Wei Chen
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Weakly Idempotent Lattices and Bilattices, Non-Idempotent Plonka Functions
Demonstratio Mathematica, 2015 In this paper, we study weakly idempotent lattices with an additional interlaced operation. We characterize interlacity of a weakly idempotent semilattice operation, using the concept of hyperidentity and prove that a weakly idempotent bilattice with an ...
Davidova D. S., Movsisyan Yu. M.
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AxiomsThe explicit forms of idempotent and semicentral idempotent triangular matrices over an additively idempotent semiring are obtained. We define a diamond composition of idempotents and give a representation of an idempotent n×n matrix as an (n−1)th degree
Dimitrinka Vladeva
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Abundant semigroups with medial idempotents [PDF]
Categories and General Algebraic Structures with Applications, 2021 The effect of the existence of a medial or related idempotent in any abundant semigroup is the subject of this paper. The aim is to naturally order any abundant semigroup $S$ which contains an ample multiplicative medial idempotent $u$ in a way that ...
Abdulsalam El-Qallali
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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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Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 In this paper we study idempotent elements, we give some new properties of idempotent elements and provide some exam we also study central idempotent elements and orthogonal idempotent elements and give some new properties of such idempotent ...
Nazar Shuker, Alaa Hammodat
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Characterization of pre-idempotent Copulas
Dependence Modeling, 2023 Copulas CC for which (CtC)2=CtC{({C}^{t}C)}^{2}={C}^{t}C are called pre-idempotent copulas, of which well-studied examples are idempotent copulas and complete dependence copulas.
Chamnan Wongtawan, Sumetkijakan Songkiat
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On Idempotent Units in Commutative Group Rings
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Special elements as units, which are defined utilizing idempotent elements, have a very crucial place in a commutative group ring. As a remark, we note that an element is said to be idempotent if r^2=r in a ring. For a group ring RG, idempotent units are
Ömer Küsmüş
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Projective Essential Idempotents
IEEE Transactions on Information Theory, 2023 <p>This paper introduces the concept of projective essential idempotents. These are primitive central idempotents in a twisted group algebra. The first main result provides conditions for the existence of them. In the second main result, we prove that every $q$-ary simplex code can be seen as an ideal of a twisted group algebra generated by a ...
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Karpatsʹkì Matematičnì Publìkacìï, 2018 The idempotent mathematics is a part of mathematics in which arithmetic operations in the reals are replaced by idempotent operations. In the idempotent mathematics, the notion of idempotent measure (Maslov measure) is a counterpart of the notion of ...
N. Mazurenko, M. Zarichnyi
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