Results 81 to 90 of about 73,865 (284)
On generalized homoderivations of prime rings
Математичні Студії, 2023 Let $\mathscr{A}$ be a ring with its center $\mathscr{Z}(\mathscr{A}).$ An additive mapping $\xi\colon \mathscr{A}\to \mathscr{A}$ is called a homoderivation on $\mathscr{A}$ if $\forall\ a,b\in \mathscr{A}\colon\quad \xi(ab)=\xi(a)\xi(b)+\xi(a)b+a\xi(
N. Rehman +2 more
doaj +1 more source
On commuting and semi-commuting positive operators [PDF]
Proceedings of the American Mathematical Society, 2014 Let K K be a positive compact operator on a Banach lattice. We prove that if either
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Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers
Advanced Intelligent Systems, EarlyView.Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica +38 more
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The commutativity of prime rings with homoderivations
, 2018 Let 𝑅 be a ring with center 𝑍(𝑅) , and 𝐼 be a nonzero left ideal. An additive mapping ℎ:𝑅 → 𝑅 is called a homoderivation on 𝑅 if ℎ(𝑥𝑦) = ℎ(𝑥)ℎ(𝑦) + ℎ(𝑥)𝑦 + 𝑥ℎ(𝑦) for all 𝑥. 𝑦 ∈ 𝑅 .
E. F. Alharfie, N. Muthana
semanticscholar +1 more source
Commutativity preserving extensions of groups [PDF]
Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2015 In parallel to the classical theory of central extensions of groups, we develop a version for extensions that preserve commutativity. It is shown that the Bogomolov multiplier is a universal object parametrizing such extensions of a given group.
Urban Jezernik, P. Moravec
semanticscholar +1 more source
Noncompact commutators in the commutant of a cyclic operator [PDF]
Proceedings of the American Mathematical Society, 1989 We show that the commutant of the operator S ⊗
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Advanced Physics Research, EarlyView.This graphical abstract illustrates the unified framework of Data Field Theory (DFT), integrating hyperbolic geometry for hierarchical embedding, gauge theory for internal symmetries, renormalization group for multi‐scale dynamics, Lévy processes for heavy‐tailed fluctuations, noncommutative geometry for quantum‐inspired cognition, and higher ...
Mohammadreza Nehzati
wiley +1 more source
On Commuting and Noncommuting Complexes
Journal of Algebra, 2001 In this paper we study various simplicial complexes associated to the commutative structure of a finite group G. We define NC(G) (resp. C(G)) as the complex associated to the poset of pairwise non-commuting (resp. commuting) sets in G. We observe that NC(G) has only one positive dimensional connected component, which we call BNC(G), and we prove that ...
Pakianathan, Jonathan, Yalçın, Ergün
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Neutrino Oscillation in a Minimal Length Spacetime
Astronomische Nachrichten, EarlyView.ABSTRACT We investigate how neutrino oscillations are modified in a non‐commutative spacetime characterized by a minimal length scale, described by the Quesne–Tkachuk algebra. By incorporating the algebra's deformation parameter β$$ \beta $$ into the effective neutrino mass, we derive the two‐flavor oscillation probability in this non‐commutative ...
Luísa Nadal‐Camargo +3 more
wiley +1 more source
On Ideals and Commutativity of Prime Rings with Generalized Derivations
, 2018 An additive mapping F: R → R is called a generalized derivation on R if there exists a derivation d: R → R such that F(xy) = xF(y) + d(x)y holds for all x,y ∈ R.
Mohammad Khalil Abu Nawas +1 more
semanticscholar +1 more source