[PDF] Top 20 On some equations related to derivations in rings

... x ∈ R. Such mappings are called left Jordan derivations (see [8, 10, 15]). Breˇsar and Vuk- man [8, Corollary1.3] have proved that the existence of a nonzero Jordan derivation on a 2- and 3-torsion free prime ring ... See full document

... The derivations in Γ-near-rings have been introduced by Bell and Mason ...of derivations in ...with derivations. Some characterizations of Γ-near-rings and regularity conditions ... See full document

... for all x, y ∈ U . Let M (C) be the set of all maximal ideals of C and P ∈ M (C). Now by the standard theory of orthogonal completions for semiprime rings (see [24, p.31-32]), we have P U is a prime ideal of U ... See full document

... of derivations, generalized derivations, generalized multiplicative derivations( for reference see [1, 3, 4, 5, 6, 7, 8, 9], where further references can be ...multiplicative derivations and ... See full document

... using derivations was initiated by Bell and Mason in 1987 in ...generalize some results from rings to near-rings with derivations in ...deduce some results on the class of ... See full document

... of derivations on semiprime ...be derivations of R such that f (x)x + xg(x) ∈ Z(R) for all x ∈ R, then f and g are ...linear derivations satisfying the above central ... See full document

... 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 ... See full document

... semiprime rings and on the other hand by the work done by various researchers on commuting derivations on prime and semiprime rings, we investigate some properties, not already investigated, ... See full document

... using derivations by ...of derivations, generalized derivations, generalized multiplicative derivations( for reference see [1, 3, 4, 5, 6, 7, 8, 9], where further references can be ... See full document

... near rings, rings were introduced by ...obtained some basic properties of derivations in near ...semiprime rings admitting suitably constrained derivations and generalized ... See full document

... obtained some generalizations of the corresponding results in ring theory ...Generalized derivations in rings. Dey, Paul and Rakhimov [3] discussed some properties of Generalized ... See full document

... reverse derivations of prime rings was introduced by Bresar and Vukman ...between derivations and reverse derivations with examples were given by Samman and Alyamani ...prime rings and ... See full document

... of some ring theoretic results, regarding commutativity have been obtained in the setting of ∗-prime near-rings satisfying some properties and identities involving ... See full document

... prime rings was obtained by Mayne ...that derivations, automorphisms, and some related maps cannot be centralizing on certain subsets of noncommutative prime (and some other) ... See full document

... prime rings with derivations was initiated by ...generalized derivations in prime ...prime rings. M.A.Quadriet.al[13] studied generalized derivations and commutativity of prime ring is ... See full document

... on rings help us to understand rings better and also derivations on rings can tell us about the structure of the ...Also derivations can be helpful for relating a ring with the set of ... See full document

... Research Article Remarks on Generalized Derivations in Prime and Semiprime Rings Basudeb Dhara Department of Mathematics, Belda College, Belda, Paschim Medinipur 721424, India Correspond[r] ... See full document

... generalized derivations in rings and obtained some remarkable results in classical ...generalized derivations in semiprime ...for some derivation D of ... See full document

... [6] S. D. Bronn, Cotorsion theories, Pacific J. Math. 48 (1973), no. 2, 355–363. [7] V. Dlab, A characterization of perfect rings, Pacific J. Math. 33 (1970), no. 1, 79–88. [8] P. Gabriel, Des cat´egories ... See full document

... reverse derivations were presented. The reverse derivations on semi prime rings have been studied by Samman and Alyamani ...obtain some characterizations of semi prime rings by using ... See full document