Results 31 to 40 of about 427 (170)
On $*$-commuting mappings and derivations in rings with involution
TURKISH JOURNAL OF MATHEMATICS, 2016 Summary: Let \(R\) be a ring with involution \(*\). A mapping \(f:R\rightarrow R\) is said to be \(*\)-commuting on \(R\) if \([f(x),x^*]=0\) holds for all \(x\in R\). The purpose of this paper is to describe the structure of a pair of additive mappings that are \(*\)-commuting on a semiprime ring with involution.
Dar, Nadeem Ahmad, Ali, Shakir
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Derivations of differentially semiprime rings
, 2019 Earlier D. A. Jordan, C. R. Jordan and D. S. Passman have investigated the properties of Lie rings Der [Formula: see text] of derivations in a commutative differentially prime rings [Formula: see text].
Orest D. Artemovych +3 more
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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Derivations in differentially prime rings
, 2018 Earlier properties of Lie rings [Formula: see text] of derivations in commutative differentially prime rings [Formula: see text] was investigated by many authors.
Orest D. Artemovych +2 more
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On the shape of n-derivations [PDF]
, 2019 We present some classification results for n-derivations over certain commutative ...
Prószyński, Andrzej +1 more
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On Hasse–Schmidt Derivations: The Action of Substitution Maps [PDF]
, 2018 We study the action of substitution maps between power series rings as an additional algebraic structure on the groups of Hasse–Schmidt derivations.
Narváez Macarro, Luis
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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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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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On derivations and commutativity of prime rings with involution
Georgian Mathematical Journal, 2015 Abstract In [Acta Math. Hungar. 66 (1995), 337–343], Bell and Daif proved that if R is a prime ring admitting a nonzero derivation such that d ( x
Ali, S., Dar, N.A., Aşçı, Mustafa
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Hilbert's Basis Theorem for Poisson Ore Extensions
Mathematische Nachrichten, EarlyView.ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck +3 more
wiley +1 more source