Results 91 to 100 of about 2,863 (195)

Left annihilator of identities with generalized derivations in prime and semiprime rings

, 2021
Rahaman Md Hamidur
openalex   +1 more source

Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]

Heliyon, 2021
Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
europepmc   +1 more source

A Note on Power Values of Derivation in Prime and Semiprime Rings

Journal of Mathematical Extension, 2012
Let R be a ring with derivation d, such that (d(xy))n = (d(x))n (d(y))n for all x, y ∈ R and n > 1 a fixed integer. In this paper, we show that if R is prime, then d = 0 or R is commutative. If R is semiprime, then d maps R into its center. Moreover
Sh. Sahebi, V. Rahmani
doaj  

The X-semiprimeness of rings

Journal of Algebra and Its Applications
For a nonempty subset [Formula: see text] of a ring [Formula: see text], the ring [Formula: see text] is called [Formula: see text]-semiprime if, given [Formula: see text], [Formula: see text] implies [Formula: see text]. This provides a proper class of semiprime rings. First, we clarify the relationship between idempotent semiprime and unit-semiprime
Grigore Călugăreanu, Tsiu-Kwen Lee, Jerzy Matczuk   +2 more
openaire   +2 more sources

Jordan mappings of semiprime rings II [PDF]

Bulletin of the Australian Mathematical Society, 1991
We describe Jordan homomorphisms and Jordan triple homomorphisms onto 2-torsion free semiprime rings in which the annihilator of any ideal is a direct summand.
openaire   +1 more source

Notes on (α,β)-derivations

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a prime ring of characteristic not 2, U a nonzero ideal of R and 0≠da(α,β)-derivation of R where α and β are automorphisms of R. i) [d(U),a]=0 then a∈Z ii) For a,b∈R, the following conditions are equivalent (I) α(a)d(x)=d(x)β(b), for all x∈U ...
Neşet Aydin
doaj   +1 more source

Generalized Commuting Mapping in Prime and Semiprime Rings

, 2022
Auday Hekmat Mahmood
openalex   +2 more sources

On the structure of semiprime rings [PDF]

Proceedings of the American Mathematical Society, 1973
The structure of prime rings has recently been studied by A. W. Goldie, R. E. Johnson, L. Lesieur and R. Croisot. In their main results some sort of finiteness assumption is invariably made. It is shown in this paper that certain semiprime rings are subdirect sums of full rings of linear transformations of a right vector space over a division ring.
openaire   +1 more source

Module Extensions Over Classical Lie Superalgebras

, 1998
We study certain filtrations of indecomposable injective modules over classical Lie superalgebras, applying a general approach for noetherian rings developed by Brown, Jategaonkar, Lenagan, and Warfield.
Letzter, E. S.
core   +3 more sources

A Note on Jordan Triple Higher *-Derivations on Semiprime Rings [PDF]

, 2014
O. H. Ezzat
openalex   +1 more source