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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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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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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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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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On Extendibility of Evolution Subalgebras Generated by Idempotents
Mathematics, 2023 In the present paper, we examined the extendibility of evolution subalgebras generated by idempotents of evolution algebras. The extendibility of the isomorphism of such subalgebras to the entire algebra was investigated.
Farrukh Mukhamedov, Izzat Qaralleh
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Pracì Mìžnarodnogo Geometričnogo Centru, 2015 The notion of idempotent measure is a counterpart of that of probability measure in the idempotent mathematics. In this note, we consider a metric on the set of compact, idempotent measure spaces (mim-spaces) and prove that this space is separable and ...
Viktoriya Brydun +2 more
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Study Some Properties of a Circulant Matrix
Tikrit Journal of Pure Science, 2023 The aim of this paper is to study the properties of idempotent, nilpotent and stability to a circulant matrix which generated by the first row, finally we showed the relation between this properties with eigenvalues of this matrix.
Akram Salim Mohammed
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WEAK IDEMPOTENT NIL-CLEAN RING [PDF]
Journal of Algebraic SystemsWe introduce the concept of a weak idempotent nil-clean ring as a generalization of a weakly nil-clean ring. We give certain characterizations for weak idempotent nil-clean rings in terms of Jacobson radical and nil radical.
Biadiglign Asmare +2 more
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Vertex and region colorings of planar idempotent divisor graphs of commutative rings.
Iraqi Journal for Computer Science and Mathematics, 2022 The idempotent divisor graph of a commutative ring R is a graph with vertices set in R* = R-{0}, and any distinct vertices x and y are adjacent if and only if x.y = e, for some non-unit idempotent element e2 = e ? R, and is denoted by ?(R).
Mohammed Authman +2 more
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