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Displaying 101 – 120 of 197

On semiprime twisted semigroup rings.

A. Quesada (1982)

Semigroup forum

On skew derivations as homomorphisms or anti-homomorphisms

Mohd Arif Raza, Nadeem ur Rehman, Shuliang Huang (2016)

Commentationes Mathematicae Universitatis Carolinae

Let $R$ be a prime ring with center $Z$ and $I$ be a nonzero ideal of $R$ . In this manuscript, we investigate the action of skew derivation $(δ, ϕ)$ of $R$ which acts as a homomorphism or an anti-homomorphism on $I$ . Moreover, we provide an example for semiprime case.

On some additive mappings in rings with involution.

J. Vukman, M. Bresar (1989)

Aequationes mathematicae

On some equations related to derivations in rings.

Vukman, Joso, Kosi-Ulbl, Irena (2005)

International Journal of Mathematics and Mathematical Sciences

On strong commutativity-preserving maps.

Samman, M.S. (2005)

International Journal of Mathematics and Mathematical Sciences

On strongly prime semiring.

Dutta, T.K., Das, M.L. (2007)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On the characterization of certain additive maps in prime $*$ -rings

Mohammad Ashraf, Mohammad Aslam Siddeeque, Abbas Hussain Shikeh (2024)

Czechoslovak Mathematical Journal

Let $𝒜$ be a noncommutative prime ring equipped with an involution ‘ $*$ ’, and let $𝒬_{m s} (𝒜)$ be the maximal symmetric ring of quotients of $𝒜$ . Consider the additive maps $ℋ$ and $𝒯 : 𝒜 \to 𝒬_{m s} (𝒜)$ . We prove the following under some inevitable torsion restrictions. (a) If $m$ and $n$ are fixed positive integers such that $(m + n) 𝒯 (a^{2}) = m 𝒯 (a) a^{*} + n a 𝒯 (a)$ for all $a \in 𝒜$ and $(m + n) ℋ (a^{2}) = m ℋ (a) a^{*} + n a 𝒯 (a)$ for all $a \in 𝒜$ , then $ℋ = 0$ . (b) If $𝒯 (a b a) = a 𝒯 (b) a^{*}$ for all $a, b \in 𝒜$ , then $𝒯 = 0$ . Furthermore, we characterize Jordan left $τ$ -centralizers in semiprime rings admitting an anti-automorphism $τ$ . As applications, we find the structure of...

On the compactness of minimal spectrum

Giuliano Artico, Umberto Marconi (1976)

Rendiconti del Seminario Matematico della Università di Padova

On the generalized hypercentralizer of a Lie ideal in a prime ring

V. De Filippis, O. M. Di Vincenzo (1998)

Rendiconti del Seminario Matematico della Università di Padova

On the Structure of Certain PP-Rings.

Patrick F. Smith (1979)

Mathematische Zeitschrift

On von Neumann regular rings. VII.

Roger Yue Chi Ming (1982)

Commentationes Mathematicae Universitatis Carolinae

On zero subrings and periodic subrings.

Bell, Howard E. (2001)

International Journal of Mathematics and Mathematical Sciences

On $(σ, τ)$ -derivations in prime rings

Mohammad Ashraf, Nadeem-ur-Rehman (2002)

Archivum Mathematicum

Let $R$ be a 2-torsion free prime ring and let $σ, τ$ be automorphisms of $R$ . For any $x, y \in R$ , set ${[x, y]}_{σ, τ} = x σ (y) - τ (y) x$ . Suppose that $d$ is a $(σ, τ)$ -derivation defined on $R$ . In the present paper it is shown that $(i)$ if $R$ satisfies ${[d (x), x]}_{σ, τ} = 0$ , then either $d = 0$ or $R$ is commutative $(i i)$ if $I$ is a nonzero ideal of $R$ such that $[d (x), d (y)] = 0$ , for all $x, y \in I$ , and $d$ commutes with both $σ$ and $τ$ , then either $d = 0$ or $R$ is commutative. $(i i i)$ if $I$ is a nonzero ideal of $R$ such that $d (x y) = d (y x)$ , for all $x, y \in I$ , and $d$ commutes with $τ$ , then $R$ is commutative. Finally a related result has been obtain for $(σ, τ)$ -derivation....

On $τ$ -centralizers of semiprime rings.

Albaş, Emine (2007)

Sibirskij Matematicheskij Zhurnal

Order completions of semiprime rings

Walter D. Burgess, Robert M. Raphael (1981)

Czechoslovak Mathematical Journal

Orthogonal generalized $(σ, τ)$ -derivations of semiprime rings.

Gölbaşi, Öznur, Aydin, Neşet (2007)

Sibirskij Matematicheskij Zhurnal

$P (r, m)$ near-rings.

Balakrishnan, R., Suryanarayanan, S. (2000)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Posner's second theorem and an annihilator condition.

De Filippis, V., Di Vincenzo, O.M. (2001)

Mathematica Pannonica

Posner's second theorem and annihilator conditions with generalized skew derivations

Vincenzo De Filippis, Feng Wei (2012)

Colloquium Mathematicae

Let be a prime ring of characteristic different from 2, $_{r}$ be its right Martindale quotient ring and be its extended centroid. Suppose that is a non-zero generalized skew derivation of and f(x₁,..., xₙ) is a non-central multilinear polynomial over with n non-commuting variables. If there exists a non-zero element a of such that a[ (f(r₁,..., rₙ)),f(r₁, ..., rₙ)] = 0 for all r₁, ..., rₙ ∈ , then one of the following holds: (a) there exists λ ∈ such that (x) = λx for all x ∈ ; (b) there exist $q \in_{r}$ and...

Potenzen von invarianten Untergruppen in Ringen mit Involution

Walter Streb (1986)

Rendiconti del Seminario Matematico della Università di Padova

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