Results 41 to 50 of about 8,103 (256)
A commutative version of the group ring [PDF]
, 2023 We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings.
Mannan, Wajid
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Identities with derivations and automorphisms on semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2005 The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative ...
Joso Vukman
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Remarks on the commutativity of rings [PDF]
Proceedings of the American Mathematical Society, 1959 Introduction. A celebrated theorem of N. Jacobson [7] asserts that if (1) Xn(z) =x for every x in a ring R, where n(x) is an integer greater than one, then R is commutative. In a recent paper [2], I. N. Herstein has shown that it is enough to require that (1) holds for those x in R which are commutators: x= [y, z] =yz-zy of two elements of R.
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Upper Cohen-Macaulay Dimension [PDF]
, 2004 In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension.
Tokuji Araya +5 more
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Some Results On Lie Ideals With (σ,τ)-derivationIn Prime Rings
مجلة بغداد للعلوم, 2009 In this paper, we proved that if R is a prime ring, U be a nonzero Lie ideal of R , d be a nonzero (?,?)-derivation of R. Then if Ua?Z(R) (or aU?Z(R)) for a?R, then either or U is commutative Also, we assumed that Uis a ring to prove that: (i) If Ua?Z(R)
Baghdad Science Journal
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Quantum Heat Current in Terahertz‐Driven Phonon Systems
Advanced Physics Research, EarlyView.We develop a quantum mechanical description of ultrafast thermodynamics on the example of a laser‐excited phonon mode. We show that the resulting quantum heat current exhibits non‐Markovian dynamics, which can be controlled by the pulse length. ABSTRACT The advent of high‐intensity ultrafast laser pulses has opened new opportunities for controlling and
Yulong Qiao, R. Matthias Geilhufe
wiley +1 more source
Some results on the annihilator graph of a commutative ring [PDF]
, 2017 summary:Let $R$ be a commutative ring. The annihilator graph of $R$, denoted by ${\rm AG}(R)$, is the undirected graph with all nonzero zero-divisors of $R$ as vertex set, and two distinct vertices $x$ and $y$ are adjacent if and only if ${\rm ann}_R(xy)
Rajabi, Zohreh +2 more
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Semidegenerate Congruence-modular Algebras Admitting a Reticulation
Scientific Annals of Computer Science, 2023 The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
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Automorphisms of commutative rings [PDF]
Transactions of the American Mathematical Society, 1975 Let B B be a commutative ring with 1, let
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source