Results 21 to 30 of about 427 (170)
Derivations and commutativity of \sigma-prime rings
International Journal of Contemporary Mathematical Sciences, 2006 Summary: Let \(R\) be a \(\sigma\)-prime ring with characteristic not two and \(d\) be a nonzero derivation of \(R\) commuting with \(\sigma\). The purpose of this paper is to give suitable conditions under which \(R\) must be commutative.
Oukhtite, L., Salhi, S.
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Commutativity with derivations of semiprime rings
Discussiones Mathematicae - General Algebra and Applications, 2020 Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
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A study of near-rings with generalized derivations [PDF]
, 2015 In the present paper it is shown that 3-prime left near-rings satisfying certain identities involving generalized derivations are commutative rings.
Boua, A., Oukhtite, L., Samman, M.
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COMMUTING AND 2-COMMUTING DERIVATIONS OF SEMIPRIME RINGS
Journal of Kufa for Mathematics and Computer, 2012 The main purpose of this paper is to study and investigate some results concerninggeneralized derivation D on semiprime ring R, we obtain a derivation d is commuting and 2-commuting on R.
Mehsin Jabel Atteya +1 more
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Commutativity of rings and near-rings with generalized derivations
Indian Journal of Pure and Applied Mathematics, 2013 Let \(N\) be a 3-prime near-ring, and let \(f\) and \(g\) be nonzero generalized derivations on \(N\). Let \(V\) be a nonzero semigroup ideal of \(N\) -- i.e. a subset such that \(VN\subseteq V\) and \(NV\subseteq V\); and let \(U\) be a nonempty subset of \(N\). The authors explore the commutativity results which follow from the following hypotheses: (
Kamal, Ahmed A. M. +1 more
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On generalized derivations and commutativity of associative rings
Discussiones Mathematicae - General Algebra and Applications, 2020 Let be a ring with center Z(). A mapping f : → is said to be strong commutativity preserving (SCP) on if [f (x), f (y)] = [x, y] and is said to be strong anti-commutativity preserving (SACP) on if f (x) ◦ f (y) = x ◦ y for all x, y ∈. In the present paper, we apply the standard theory of differential identities to characterize SCP and SACP ...
Sandhu Gurninder S. +2 more
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Derivation Requirements on Prime Near-Rings for Commutative Rings [PDF]
, 2019 Near-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative ...
Baihaqi, Komar +2 more
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Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings [PDF]
, 2008 summary:Let $R$ be an arbitrary commutative ring with identity, $\operatorname{gl}(n,R)$ the general linear Lie algebra over $R$, $d(n,R)$ the diagonal subalgebra of $\operatorname{gl}(n,R)$.
Wang, Dengyin, Wang, Xian
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
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Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
Advanced Science, EarlyView.A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
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