Results 111 to 120 of about 677,100 (167)

A note on semiprime rings with derivation

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a derivation. If d[x,y]+[x,y]∈Z or d[x,y]−[x,y]∈Z for all x, y∈I, then R is commutative.
Motoshi Hongan
doaj   +1 more source

A Note on Semiprime Rings with Torsionless Injective Envelope

, 1973
Satyanarayana establishes in [6] that a semiprime right selfinjective ring with ACC on annihilator right ideals is semisimple Artinian, thereby extending a similar result of Koh [5] for prime rings.
Efraim P. Armendariz
core   +1 more source

On Semiprime Ample Jordan Rings

, 1976
The purpose of this paper is to point out that the arguments of [2] with slight modification extend the main result of [2] to the case of H satisfying either ACC or DCC on quadratic ideals and they extend [6, Theorem 2] to R being semiprime.
Daniel J. Britten
core   +1 more source

On prime and semiprime near-rings with derivations

International Journal of Mathematics and Mathematical Sciences, 1997
Let N be a semiprime right near-ring, A a subset of N such that 0∈A and AN⫅A, and d a derivation of N The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on A, then d(A)={0}.
Nurcan Argaç
doaj   +1 more source

D-Semiprime Rings

European Journal of Pure and Applied Mathematics
Let R be an associative and 2-torsion-free ring with an identity. in this work, we will generalize the results of differentially prime rings in [18] by applying the hypotheses in a differentially semiprime rings. In particular, we have proved that if R is a D-semiprime ring, then either R is a commutative ring or D is a semiprime ring.
Maram Alosaimi, Ahmad Alkhalaf, Rohaidah Masri, Iman Taha   +3 more
openaire   +1 more source

Identifying Low-Frequency Tree-Ring Variation

, 1991
I propose an approach to provide 95% confidence intervals for a chronology of low-frequency tree-ring variation so that a level of significance or importance for trends can be inferred.
Sheppard, Paul R.
core   +3 more sources

On σ-primeness and σ-semiprimeness in rings with involution

Journal of New Results in Science
This study introduces the structure of $\left\vert\mathcal{S}_{R}^{\sigma}\right\vert $-$\sigma$-semiprime ring, $\left\vert \mathcal{S}_{R}^{\sigma}\right\vert $-$\sigma$-prime ring, and source of $\sigma$-primeness , which have not been previously ...
Barış Albayrak, Didem Karalarlıoğlu Camcı, Didem Yeşil   +2 more
doaj   +1 more source

Asymptotic aspect of derivations in Banach algebras. [PDF]

J Inequal Appl, 2017
Roh J, Chang IS.
europepmc   +1 more source

Local generalized (α,β)-derivations. [PDF]

ScientificWorldJournal, 2014
Fošner A.
europepmc   +1 more source

Clean rings of skew Hurwitz series

Le Matematiche, 2007
In this paper we study the transfer of some algebraic properties from the ring R to the ring of skew Hurwitz series T = (H R, σ ) where σ  is an automorphism of R and vice versa.
A. M. Hassanein
doaj