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Displaying 201 – 220 of 382

On isomorphic commutative group algebras of Abelian groups with $p^{ω + n}$ -projective quotients.

Danchev, Peter V. (2008)

Acta Universitatis Apulensis. Mathematics - Informatics

On Jordan ideals and derivations in rings with involution

Lahcen Oukhtite (2010)

Commentationes Mathematicae Universitatis Carolinae

Let $R$ be a $2$ -torsion free $*$ -prime ring, $d$ a derivation which commutes with $*$ and $J$ a $*$ -Jordan ideal and a subring of $R$ . In this paper, it is shown that if either $d$ acts as a homomorphism or as an anti-homomorphism on $J$ , then $d = 0$ or $J \subseteq Z (R)$ . Furthermore, an example is given to demonstrate that the $*$ -primeness hypothesis is not superfluous.

On Jordan ideals and left $(θ, θ)$ -derivations in prime rings.

Zaidi, S.M.A., Ashraf, Mohammad, Ali, Shakir (2004)

International Journal of Mathematics and Mathematical Sciences

On Lie ideals with generalized derivations.

Gölbaşı, Öznur, Kaya, Kazım (2006)

Sibirskij Matematicheskij Zhurnal

On McCoy condition and semicommutative rings

Mohamed Louzari (2013)

Commentationes Mathematicae Universitatis Carolinae

Let $R$ be a ring and $σ$ an endomorphism of $R$ . We give a generalization of McCoy’s Theorem [ Annihilators in polynomial rings, Amer. Math. Monthly 64 (1957), 28–29] to the setting of skew polynomial rings of the form $R [x; σ]$ . As a consequence, we will show some results on semicommutative and $σ$ -skew McCoy rings. Also, several relations among McCoyness, Nagata extensions and Armendariz rings and modules are studied.

On modules in which idempotent reducts form a chain

Ágnes Szendrei (1978)

Colloquium Mathematicae

On near-ring ideals with $(σ, τ)$ -derivation

Öznur Golbaşi, Neşet Aydin (2007)

Archivum Mathematicum

Let $N$ be a $3$ -prime left near-ring with multiplicative center $Z$ , a $(σ, τ)$ -derivation $D$ on $N$ is defined to be an additive endomorphism satisfying the product rule $D (x y) = τ (x) D (y) + D (x) σ (y)$ for all $x, y \in N$ , where $σ$ and $τ$ are automorphisms of $N$ . A nonempty subset $U$ of $N$ will be called a semigroup right ideal (resp. semigroup left ideal) if $U N \subset U$ (resp. $N U \subset U$ ) and if $U$ is both a semigroup right ideal and a semigroup left ideal, it be called a semigroup ideal. We prove the following results: Let $D$ be a $(σ,$