Results 71 to 80 of about 179 (118)
A NOTE ON CENTRALIZERS IN SEMIPRIME RINGS
Demonstratio Mathematica, 2005 Summary: The purpose of this paper is to prove the following result: Let \(R\) be a \((m+n+2)!\) and \(3m^2n+3mn^2+4m^2+4n^2+10mn\)-torsion free semiprime ring with an identity element and let \(T\colon R\to R\) be an additive mapping such that \[ 3T(x^{m+n+1})=T(x)x^{m+n}+x^mT(x)x^n+x^{m+n}T(x) \] is fulfilled for all \(x\in R\) and some fixed ...
openaire +2 more sources
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
Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]
Comput Intell Neurosci, 2022 Zhou H +5 more
europepmc +1 more source
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
openaire +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
The hulls of semiprime rings [PDF]
Bulletin of the Australian Mathematical Society, 1975 Each semiprime ring admits a unique projectable, strongly projectable, laterally complete and orthocomplete hull. Almost all of the theory for X–hulls of lattice-ordered groups in Paul Conrad, “The hulls of representable l-groups and f-rings”, J. Austral. Math. Soc. 16 (1973), 385–415, has a counterpart for semiprime rings.
openaire +3 more sources
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
Journal of Applied Mathematics and Computational Mechanics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
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