WebMay 6, 2015 · M. Ashraf and N. Rehman, On commutativity of rings with derivations, Results Math., 42 (2002), no.1-2, 3-8. N. Argac and H. G. Inceboz, Derivations of prime and ... WebMar 2024; Cheng-Kai Liu; Let [Formula: see text] be a prime ring, let [Formula: see text] be a noncentral Lie ideal of ... Let R be a prime ring with a nonzero derivation d and let f(X1, ...
Shakir ALI Professor Ph.D. Aligarh Muslim University, Alīgarh
WebDec 1, 2024 · Let (R, ) be a prime ring of characteristic different from two with involution of the second kind. ... Bell and Daif showed that if R is a semiprime ring admitting a … Let R be a prime ring of characteristic different from 2, U be its Utumi ring of quotients of R with extended centroid C and f(x_1,\ldots ,x_n) be a non central multilinear polynomial over C. Suppose that F, G are inner b-generalized derivations on R. If for p, q \in Rwe have with p+q \notin C for all r=(r_1,\ldots … See more [9, Lemma 1] Let C be an infinite field and m \ge 2. If A_1, \ldots , A_k are non scalar matrices in M_m(C) then there exists some invertible matrix P \in M_m(C) such that each matrix … See more Let R=M_m(C), m\ge 2, be the ring of all m \times m matrices over the infinite field C, f(x_1, \ldots , x_n) a non central multilinear polynomial over C and … See more Let R=M_m(C), m\ge 2, be the ring of all matrices over the field C with char(R)\ne 2 and f(x_1, \ldots , x_n) a non central multilinear polynomial over C and a, b, c, u, v, p, q \in R such that aX^2-bX^2w+bXuX-XcX-XbXv=0 for all … See more By assumption, Rsatisfies the generalized polynomial identity We assume that b\notin Z(R) and u\notin Z(R). Then we shall prove that this case leads to a contradiction. Since … See more gtech airram ar30
Nonlinear mixed Lie triple derivations on prime -rings - ScienceAsia
WebDurante a Premiere de "The Rings of Power", em Londres, foram dados alguns brindes aos convidados. Brindes estes, que decidimos mostrar-vos no dia de hoje! A... WebAbstract. Let R be a prime ring, which is not commutative, with involution * and with Q ms (R) the maximal symmetric ring of quotients of R. An additive map δ : R → R is called a … WebNov 17, 2024 · Abstract. We introduce the notion of -homoderivation on a ring and show that a semiprime ring must have a nontrivial central ideal if it admits an appropriate -homoderivation which is centralizing on some nontrivial one-sided ideal. Under similar hypotheses, we prove commutativity in prime rings. 1. Introduction. Studying the … find atomicity of sulphur