Results 11 to 20 of about 427 (170)
Identities with derivations and automorphisms on semiprime rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative ...
Joso Vukman
doaj +2 more sources
SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]
, 2002 An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
core +1 more source
, 2002 The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
core +1 more source
Spectral synthesis in the multiplier algebra of a C_0(X)-algebra [PDF]
, 2014 We are grateful to the referee for a number of helpful comments and for pointing out an error in the original proof of Theorem 3.6.Peer ...
Archbold, Robert J +1 more
core +1 more source
Derivation of Commutative Rings and the Leibniz Formula for Power of Derivation [PDF]
Formalized Mathematics, 2021 Summary In this article we formalize in Mizar [1], [2] a derivation of commutative rings, its definition and some properties. The details are to be referred to [5], [7]. A derivation of a ring, say D , is defined generally as a map from a commutative ring
openaire +2 more sources
On Generalized Semiderivations of Prime Near Rings
International Journal of Mathematics and Mathematical Sciences, 2015 Let N be a near ring. An additive mapping F:N→N is said to be a generalized semiderivation on N if there exists a semiderivation d:N→N associated with a function g:N→N such that F(xy)=F(x)y+g(x)d(y)=d(x)g(y)+xF(y) and F(g(x))=g(F(x)) for all x,y∈N.
Abdelkarim Boua +3 more
doaj +1 more source
On derivations and commutativity in prime rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 Let R be a prime ring of characteristic different from 2, d a nonzero derivation of R, and I a nonzero right ideal of R such that [[d(x), x], [d(y), y]] = 0, for all x, y ∈ I. We prove that if [I, I]I ≠ 0, then d(I)I = 0.
openaire +6 more sources
Prime Lie rings of derivations of commutative rings in characteristic 2 [PDF]
, 2006 Let R be a commutative associative ring with 1 and let Der(R) be the Lie ring of all derivations of R. Suppose that D is a Lie subring and an R-submodule of Der(R).
Chia-Hsin Liu +3 more
core +1 more source
Rota-Baxter operators on the polynomial algebras, integration and averaging operators [PDF]
, 2014 The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] .
Guo, Li +5 more
core +1 more source