Results 11 to 20 of about 20,979 (232)
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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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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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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Absolutely flat idempotents [PDF]
The Electronic Journal of Linear Algebra, 2003 11 pages, Electronic Journal of Linear ...
Johnson, Charles R. +4 more
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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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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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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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Decomposition of Singular Matrices into Idempotents [PDF]
, 2013 In this paper we provide concrete constructions of idempotents to represent typical singular matrices over a given ring as a product of idempotents and apply these factorizations for proving our main results.
Alahmadi, Adel +2 more
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