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Centralizers and Lie ideals

Luisa Carini (1987)

Rendiconti del Seminario Matematico della Università di Padova

Centralizers on prime and semiprime rings

Joso Vukman (1997)

Commentationes Mathematicae Universitatis Carolinae

The purpose of this paper is to investigate identities satisfied by centralizers on prime and semiprime rings. We prove the following result: Let $R$ be a noncommutative prime ring of characteristic different from two and let $S$ and $T$ be left centralizers on $R$ . Suppose that $[S (x), T (x)] S (x) + S (x) [S (x), T (x)] = 0$ is fulfilled for all $x \in R$ . If $S \neq 0$ $(T ...$

Centralizers on semiprime rings

Joso Vukman (2001) Commentationes Mathematicae Universitatis Carolinae

The main result: Let

R

be a

2

-torsion free semiprime ring and let

T : R \to R

be an additive mapping. Suppose that

T (x y x) = x T (y) x

holds for all

x, y \in R

. In this case

T

is a centralizer.

Centralizing and commuting generalized derivations on prime rings

Asif Ali, Tariq Shah (2008)

Matematički Vesnik

Certain generalizations of Boolean rings

Moore, H.G., Yaqub, Adil (1979)

Portugaliae mathematica

Characterisations of Semi-Prime Archimedean f-algebras.

A.W. Wickstead (1988/1989)

Mathematische Zeitschrift

Characterization of a radical of group rings over finite prime fields.

Kornev, A.I., Pavlova, T.V. (2004)

Sibirskij Matematicheskij Zhurnal

Classical quotient rings of generalized matrix rings.

Poole, David G., Stewart, Patrick N. (1995)

International Journal of Mathematics and Mathematical Sciences

Closure rings

Barry J. Gardner, Tim Stokes (1999)

Commentationes Mathematicae Universitatis Carolinae

We consider rings equipped with a closure operation defined in terms of a collection of commuting idempotents, generalising the idea of a topological closure operation defined on a ring of sets. We establish the basic properties of such rings, consider examples and construction methods, and then concentrate on rings which have a closure operation defined in terms of their lattice of central idempotents.

Cocentralizing and vanishing derivations on multilinear polynomials in prime rings.

De Filippis, Vincenzo (2009)

Sibirskij Matematicheskij Zhurnal

Commutative radical rings. I.

Tomáš Kepka, Petr Němec (2007)

Acta Universitatis Carolinae. Mathematica et Physica

Commutative radical rings. II.

Tomáš Kepka, Petr Němec (2008)

Acta Universitatis Carolinae. Mathematica et Physica

Commutative subrings of periodic rings.

Thomas J. Laffey (1976)

Mathematica Scandinavica

Commutativity and structure of rings with commuting nilpotents.

Abu-Khuzam, Hazar, Yaqub, Adil (1983)

International Journal of Mathematics and Mathematical Sciences

Commutativity conditions on derivations and Lie ideals in $σ$ -prime rings.

Oukhtite, L., Salhi, S., Taoufiq, L. (2010)

Beiträge zur Algebra und Geometrie

Commutativity of *-prime rings with generalized derivations

Mohammad Ashraf, Almas Khan (2011)

Rendiconti del Seminario Matematico della Università di Padova

Commutativity results for semiprime rings with derivations.

Daif, Mohamad Nagy (1998)

International Journal of Mathematics and Mathematical Sciences

Commutativity theorems for rings with differential identities on Jordan ideals

L. Oukhtite, A. Mamouni, Mohammad Ashraf (2013)

Commentationes Mathematicae Universitatis Carolinae

In this paper we investigate commutativity of ring $R$ with involution $^{'} *^{'}$ which admits a derivation satisfying certain algebraic identities on Jordan ideals of $R$ . Some related results for prime rings are also discussed. Finally, we provide examples to show that various restrictions imposed in the hypotheses of our theorems are not superfluous.

Compatible ideals and radicals of Ore extensions.

Hashemi, E. (2006)

The New York Journal of Mathematics [electronic only]

Complete radicals of some group rings.

Kornev, A.I. (2007)

Sibirskij Matematicheskij Zhurnal

Currently displaying 1 – 20 of 22

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