Results 1 to 10 of about 317 (186)
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
doaj +2 more sources
Primitive orthogonal idempotents for R-trivial monoids [PDF]
Journal of Algebra, 2011 We construct a recursive formula for a complete system of primitive orthogonal idempotents for any R-trivial monoid. This uses the newly proved equivalence between the notions of R-trivial monoid and weakly ordered monoid.
Nantel Bergeron +2 more
exaly +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Idempotents in an ultrametric Banach algebra
Cubo, 2021 Let IK be a complete ultrametric field and let A be a unital commutative ultrametric Banach IK-algebra. Suppose that the multiplicative spectrum admits a partition in two open closed subsets.
Alain Escassut
doaj +1 more source
Group codes over binary tetrahedral group
Journal of Mathematical Cryptology, 2022 In this article, the group algebra K[T]{\mathcal{K}}\left[{\mathscr{T}}] of the binary tetrahedral group T{\mathscr{T}} over a splitting field K{\mathcal{K}} of T{\mathscr{T}} with char(K)≠2,3{\rm{char}}\left({\mathcal{K}})\ne 2,3 is studied and the ...
Dadhwal Madhu, Pankaj
doaj +1 more source