Results 31 to 40 of about 308 (83)
On Commutativity of Rings with Generalized Derivations [PDF]
, 2002 The concept of derivations as well as of generalized inner derivations have been generalized as an additive function F : R → R satisfying F(xy) = F(x)y + xd(y) for all x, y ∈ R, where d is a derivation on R, such a function F is said to be a ...
Rehman, Nadeem ur
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A Generalized Higher Reverse Left (respectively Right) Centralizer on Prime Gamma-Rings
Mathematical theory and modelling, 2019 This study introduces the concepts of generalized higher reverse left (respectively right) centralizer , Jordan generalized higher reverse left (respectively right) centralizer and Jordan triple generalized higher reverse left (respectively right ...
Fawaz Ra'ad Jarullah, S. M. Salih
semanticscholar +1 more source
On zero subrings and periodic subrings
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 7, Page 413-417, 2001., 2001 We give new proofs of two theorems on rings in which every zero subring is finite; and we apply these theorems to obtain a necessary and sufficient condition for an infinite ring with periodic additive group to have an infinite periodic subring.
Howard E. Bell
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 55-57, 2000., 2000 For prime rings R, we characterize the set U∩CR([U, U]), where U is a right ideal of R; and we apply our result to obtain a commutativity‐or‐finiteness theorem. We include extensions to semiprime rings.
Howard E. Bell
wiley +1 more source
Identities with derivations on rings and Banach algebras [PDF]
, 2005 In this paper we prove the following result. Let m 1, n 1 be integers and let R be a 2mn(m+n-1)!-torsion free semiprime ring. Suppose there exist derivations D, G : R R such that D(xm)xn + xnG(xm) = 0 holds for all x R.
Joso Vukman
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Derivations of higher order in semiprime rings
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 89-92, 1998., 1997 Let R be a 2‐torsion free semiprime ring with derivation d. Supposed d2n is a derivation of R, where n is a positive integer. It is shown that if R is (4n − 2)‐torsion free or if R is an inner derivation of R, then d2n−1 = 0.
Jiang Luh, Youpei Ye
wiley +1 more source
On Lie ideals and symmetric generalized (α, β)-biderivation in prime ring
Miskolc Mathematical Notes, 2019 Let R be a prime ring with char.R/¤ 2. A biadditive symmetric map WR R!R is called symmetric . ̨;ˇ/-biderivation if, for any fixed y 2R, the map x 7! .x;y/ is a . ̨;ˇ/derivation. A symmetric biadditive map W R R! R is a symmetric generalized .
N. Rehman, Shuliang Huang
semanticscholar +1 more source
Commutativity results for semiprime rings with derivations
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 3, Page 471-474, 1998., 1996 We extend a result of Herstein concerning a derivation d on a prime ring R satisfying [d(x), d(y)] = 0 for all x, y ∈ R, to the case of semiprime rings. An extension of this result is proved for a two‐sided ideal but is shown to be not true for a one‐sided ideal.
Mohammad Nagy Daif
wiley +1 more source
PRIME, MAXIMAL AND PRIMITIVE IDEALS IN SOME SUBRINGS OF POLYNOMIAL RINGS [PDF]
, 2014 In this paper we describe prime, maximal and primitive ideals in some graded subrings of polynomial rings.
Ferrero, Miguel, Miranda, Edilson Soares
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International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 263-266, 1997., 1995 Let R be a ring A bi‐additive symmetric mapping d : R × R → R is called a symmetric bi‐derivation if, for any fixed y ∈ R, the mapping x → D(x, y) is a derivation. The purpose of this paper is to prove the following conjecture of Vukman. Let R be a noncommutative prime ring with suitable characteristic restrictions, and let D : R × R → R and f : x → D ...
Qing Deng
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