Results 21 to 30 of about 1,200,355 (273)
Lightweight noncommutative key exchange protocol for IoT environments
Frontiers in Environmental Science, 2022 Network communications are expanding rapidly in many fields, including telecommunications, the Internet of Things, space, consumer electronics, and the military, with different privacy and security issues at stake in each of these areas.
Shamsa Kanwal +5 more
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Some interactions between Hopf Galois extensions and noncommutative rings
Universitas Scientiarum, 2022 In this paper, our objects of interest are Hopf Galois extensions (e.g., Hopf algebras, Galois field extensions, strongly graded algebras, crossed products, principal bundles, etc.) and families of noncommutative rings (e.g., skew polynomial rings, PBW ...
Armando Reyes, Fabio Calderón
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On the Unit Graph of a Noncommutative Ring [PDF]
, 2011 Let $R$ be a ring (not necessary commutative) with non-zero identity. The unit graph of $R$, denoted by $G(R)$, is a graph with elements of $R$ as its vertices and two distinct vertices $a$ and $b$ are adjacent if and only if $a+b$ is a unit element of ...
S. Akbari, E. Estaji, M. Khorsandi
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A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 We study a fully noncommutative generalization of the commutative fourth Painlevé equation that possesses solutions in terms of an infinite Toda system over an associative unital division ring equipped by a derivation.
I. Bobrova +3 more
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Noncommutative Anticommutative Rings
Irish Mathematical Society Bulletin, 1987 The authors prove that the smallest possible order of a noncommutative anticommutative finite ring is 27 and give an example.
Buckley, Stephen M., MacHale, Desmond
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Journal of Algebra, 1990 Let \(R\) be a prime Goldie ring and \(Q\) its classical ring of quotients. For any additive subgroup \(I\) of \(Q\), its inverse is defined as \(I^{-1}=\{q\in Q\mid IqI\subseteq I\}\). If every finitely generated right \(R\)-ideal \(I\) satisfies \(I^{-1}I=R\), \(II^{-1}=O_{\ell}(I)\) (where \(O_{\ell}(I)\) is the left order of \(I\) in \(Q\)), then \(
Alajbegovic̀, Jusuf H +1 more
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On unconditionally convergent series in topological rings
Karpatsʹkì Matematičnì Publìkacìï, 2022 We define a topological ring $R$ to be Hirsch, if for any unconditionally convergent series $\sum_{n\in\omega} x_i$ in $R$ and any neighborhood $U$ of the additive identity $0$ of $R$ there exists a neighborhood $V\subseteq R$ of $0$ such that $\sum_{n ...
T.O. Banakh, A.V. Ravsky
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Noncommutative Jordan rings [PDF]
Transactions of the American Mathematical Society, 1971 Heretofore most investigations of noncommutative Jordan algebras have been restricted to algebras over fields of characteristic ≠ 2 \ne 2 in order to make use of the passage from a noncommutative Jordan algebra A \mathfrak {A} to the commutative Jordan algebra
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Ingeniería y Ciencia, 2020 In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew ...
Armando Reyes +1 more
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Witt group of Hermitian forms over a noncommutative discrete valuation ring
International Journal of Mathematics and Mathematical Sciences, 2005 We investigate Hermitian forms on finitely generated torsion modules over a noncommutative discrete valuation ring. We also give some results for lattices, which still are satisfied even if the base ring is not commutative. Moreover, for a noncommutative
L. Oukhtite
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