Results 101 to 110 of about 2,898 (193)

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

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

Soft ideals of soft ternary semigroups. [PDF]

Heliyon, 2021
Kar S, Dutta I.
europepmc   +1 more source

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

, 2021
Md Hamidur Rahaman
openalex   +1 more source

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

Semiprime rings with nilpotent Lie ring of inner derivations

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2014
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions.
Kamil Kular
doaj  

A remark on prime ideals

Extracta Mathematicae, 2020
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M the envelope EM (N ) of N in M is an essential extension of N. In particular, if N is divisible then EM (N ) = N .
S.C. Lee, R. Varmazyar
doaj