Results 21 to 30 of about 201 (72)
Weakly periodic and subweakly periodic rings
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 33, Page 2097-2107, 2003., 2003 Our objective is to study the structure of subweakly periodic rings with a particular emphasis on conditions which imply that such rings are commutative or have a nil commutator ideal. Related results are also established for weakly periodic (as well as periodic) rings.
Amber Rosin, Adil Yaqub
wiley +1 more source
Commutativity of Prime Rings with Symmetric Biderivations
Discussiones Mathematicae - General Algebra and Applications, 2018 The present paper shows some results on the commutativity of R: Let R be a prime ring and for any nonzero ideal I of R, if R admits a biderivation B such that it satisfies any one of the following properties (i) B([x, y], z) = [x, y], (ii) B([x, y], m) +
Reddy B. Ramoorthy, Reddy C. Jaya Subba
doaj +1 more source
On generalized derivations as homomorphisms and anti-homomorphisms [PDF]
, 2004 The concept of derivations as well as generalized derivations (i.e. Ia,b(x) = ax + xb, for all a,b R) 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 nonzero derivation on R.
Nadeem-úr Rehman
core +2 more sources
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
A combinatorial commutativity property for rings
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 9, Page 525-530, 2002., 2002 We study commutativity in rings R with the property that for a fixed positive integer n, xS = Sx for all x ∈ R and all n‐subsets S of R.
Howard E. Bell, Abraham A. Klein
wiley +1 more source
Generalized derivations on ideals of prime rings
, 2013 Let R be a prime ring. By a generalized derivation we mean an additive mapping g W R! R such that g.xy/D g.x/yCxd.y/ for all x;y 2 R where d is a derivation of R.
E. Albaş
semanticscholar +1 more source
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
core +1 more source
Strong commutativity preserving maps on triangular rings
, 2012 Let U = Tri(A ,M ,B) be a triangular ring. It is shown, under some mild assumption, that every surjective strong commutativity preserving map Φ : U →U (i.e. [Φ(T ),Φ(S)]= [T,S] for all T,S ∈ U ) is of the form Φ(T ) = ZT + f (T ) , where Z is in Z (U ) ,
X. Qi, J. Hou
semanticscholar +1 more source
Generalized periodic and generalized Boolean rings
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 8, Page 457-465, 2001., 2001 We prove that a generalized periodic, as well as a generalized Boolean, ring is either commutative or periodic. We also prove that a generalized Boolean ring with central idempotents must be nil or commutative. We further consider conditions which imply the commutativity of a generalized periodic, or a generalized Boolean, ring.
Howard E. Bell, Adil Yaqub
wiley +1 more source
Hochschild homology and cohomology of Generalized Weyl algebras: the quantum case [PDF]
, 2011 We determine the Hochschild homology and cohomology of the generalized Weyl algebras of rank one which are of ‘quantum’ type in all but a few exceptional cases. 2010 MSC: 16E40, 16E65, 16U80, 16W50, 16W70.
A. Solotar +2 more
semanticscholar +1 more source