Results 1 to 10 of about 20,979 (232)
Local Generalized (α,β)-Derivations [PDF]
The Scientific World Journal, 2014 We study local generalized (α,β)-derivations on algebras generated by their idempotents and give some important applications of our results.
Ajda Fošner
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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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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
Open MathematicsThe article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
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NeutroAlgebra of Idempotents in Group Rings [PDF]
Neutrosophic Sets and Systems, 2022 In this paper, the authors study the new concept of NeutroAlgebra of idempotents in group rings. It is assumed that RG is the group ring of a group G over the ring R. R should be a commutative ring with unit 1.
Vasantha Kandasamy +1 more
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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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On automorphisms of strong semilattice of groups
Mathematics Open, 2022 In this paper, we consider the automorphisms of the strong semilattice of groups and relate them to the isomorphisms and automorphisms of underlying groups. We also provide a construction for non-trivial automorphisms of semilattices.
Aftab Hussain Shah +2 more
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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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Higher Regularity, Inverse and Polyadic Semigroups
Universe, 2021 We generalize the regularity concept for semigroups in two ways simultaneously: to higher regularity and to higher arity. We show that the one-relational and multi-relational formulations of higher regularity do not coincide, and each element has several
Steven Duplij
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Idempotents in intensional type theory [PDF]
Logical Methods in Computer Science, 2017 We study idempotents in intensional Martin-L\"of type theory, and in particular the question of when and whether they split. We show that in the presence of propositional truncation and Voevodsky's univalence axiom, there exist idempotents that do not ...
Michael Shulman
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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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