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Displaying 61 – 80 of 197

Lie ideals and Jordan triple derivations in rings

Motoshi Hongan, Nadeem Ur Rehman, Radwan Mohammed AL-Omary (2011)

Rendiconti del Seminario Matematico della Università di Padova

Lie ideals in prime Γ-rings with derivations

Nishteman N. Suliman, Abdul-Rahman H. Majeed (2013)

Discussiones Mathematicae - General Algebra and Applications

Let M be a 2 and 3-torsion free prime Γ-ring, d a nonzero derivation on M and U a nonzero Lie ideal of M. In this paper it is proved that U is a central Lie ideal of M if d satisfies one of the following (i) d(U)⊂ Z, (ii) d(U)⊂ U and d²(U)=0, (iii) d(U)⊂ U, d²(U)⊂ Z.

Localization in Prime Noetherian p.i. Rings.

Amiram Braun, L.W. Small (1986)

Mathematische Zeitschrift

Localizations of Hereditary Noetherian Rings

J. C. Robson (1973)

Publications du Département de mathématiques (Lyon)

*-multilinear polynomials with invertible values

O. M. Di Vincenzo, A. Valenti (1991)

Rendiconti del Seminario Matematico della Università di Padova

New characterizations of von Neumann regular rings and a conjecture of Shamsuddin.

Carl Faith (1996)

Publicacions Matemàtiques

A theorem of Utumi states that if R is a right self-injective ring such that every maximal ideal has nonzero annihilator, then R modulo the Jacobson radical J is a finite product of simple rings and is a von Neuman regular ring. We prove two theorems and a conjecture of Shamsuddin that characterize when R itself is a von Neumann ring, using a splitting theorem of the author on when the maximal regular ideal of a ring splits off.

Normalizing extensions of semiprime rings.

Ferrero, Miguel, Steffenon, Rogério Ricardo (2004)

Beiträge zur Algebra und Geometrie

Notes on generalized prime and coprime modules. I.

Josef Jirásko (1981)

Commentationes Mathematicae Universitatis Carolinae

Notes on generalized prime and coprime modules. II.

Josef Jirásko (1981)

Commentationes Mathematicae Universitatis Carolinae

Notes on generalized $(σ, τ)$ –derivation

Öznur Gölbaşi, Emine Koç (2010)

Rendiconti del Seminario Matematico della Università di Padova

Notes on slender prime rings

Robert El Bashir, Tomáš Kepka (1996)

Commentationes Mathematicae Universitatis Carolinae

If $R$ is a prime ring such that $R$ is not completely reducible and the additive group $R (+)$ is not complete, then $R$ is slender.

Notes on $(α, β)$ -derivations.

Aydin, Neşet (1997)

International Journal of Mathematics and Mathematical Sciences

On a certain functional identity in prime rings. II.

Brešar, M., Chebotar, M.A. (2002)

Beiträge zur Algebra und Geometrie

On a certain identitiy satisfied by a derivation and an arbitrary additive mapping. (Summary).

J. Vukman, M. Bresar, J. Skarabot (1993)

Aequationes mathematicae

On a certain identity satisfied by a derivation and an arbitrary additive mapping II.

Bresar Matej (1996)

Aequationes mathematicae

On a certain identity satisfied by a derivation and an arbitrary additive mapping.

J. Vukman, M. Bresar, J. Skarabot (1993)

Aequationes mathematicae

On a conjecture of Vukman.

Deng, Qing (1997)

International Journal of Mathematics and Mathematical Sciences

On a problem of commutativity of automorphisms.

Chaudhry, M.Anwar, Thaheem, A.B. (1998)

International Journal of Mathematics and Mathematical Sciences

On a refinement in the classification of the nil rings

La Rosa, B. de (1977)

Portugaliae mathematica

On a subset with nilpotent values in a prime ring with derivation

Vincenzo De Filippis (2002)

Bollettino dell'Unione Matematica Italiana

Let $R$ be a prime ring, with no non-zero nil right ideal, $d$ a non-zero drivation of $R$ , $I$ a non-zero two-sided ideal of $R$ . If, for any $x$ , $y \in I$ , there exists $n = n (x, y) \geq 1$ such that ${(d ([x, y]) - [x, y])}^{n} = 0$ , then $R$ is commutative. As a consequence we extend the result to Lie ideals.

Currently displaying 61 – 80 of 197

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