Results 11 to 20 of about 17,323 (202)
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 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
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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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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
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Primitive Idempotents of Schur Rings [PDF]
, 2014 In this paper, we explore the nature of central idempotents of Schur rings over finite groups. We introduce the concept of a lattice Schur ring and explore properties of these kinds of Schur rings.
Misseldine, Andrew
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Skew Pairs of Idempotents in Partial Transformation Semigroups
Mathematics, 2021 Let S be a regular semigroup. A pair (e,f) of idempotents of S is said to be a skew pair of idempotents if fe is idempotent, but ef is not. T. S. Blyth and M. H. Almeida (T. S. Blyth and M. H.
Panuwat Luangchaisri, Thawhat Changphas
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Determination of the biquaternion divisors of zero, including the idempotents and nilpotents [PDF]
, 2008 The biquaternion (complexified quaternion) algebra contains idempotents (elements whose square remains unchanged) and nilpotents (elements whose square vanishes). It also contains divisors of zero (elements with vanishing norm).
Alfsmann, Daniel, Sangwine, Stephen J.
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NeutroAlgebra of Neutrosophic Triplets using {Zn, ×} [PDF]
Neutrosophic Sets and Systems, 2020 Smarandache in 2019 has generalized the algebraic structures to NeutroAlgebraic structures and AntiAlgebraic structures. In this paper, authors, for the first time, define the NeutroAlgebra of neutrosophic triplets group under usual+ and x, built using ...
Vasantha Kandasamy +2 more
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Code algebras, axial algebras and VOAs [PDF]
, 2018 Inspired by code vertex operator algebras (VOAs) and their representation theory, we define code algebras, a new class of commutative non-associative algebras constructed from binary linear codes. Let $C$ be a binary linear code of length $n$.
Castillo-Ramirez, Alonso +2 more
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TASK Quarterly, 2017 We consider a generalization of the projection operator method for the case of the Cauchy problem in 1D space for systems of evolution differential equations of first order with variable coefficients.
SERGEY LEBLE, IRINA VERESHCHAGINA
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