𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalized Lie derivations on triangular algebras

✍ Scribed by Dominik Benkovič

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
263 KB
Volume
434
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Generalized Derivations of Lie Algebras
Generalized Derivations of Lie Algebras
✍ George F. Leger; Eugene M. Luks 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 258 KB

166 leger and luks some applications of the main results to the study of functions f ∈ Hom L L such that f • µ or µ • f ∧ I L defines a Lie multiplication.

Characterizations of Lie derivations of
Characterizations of Lie derivations of triangular algebras
✍ Peisheng Ji; Weiqing Qi 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 219 KB

Let T be a triangular algebra over a commutative ring R. In this paper, under some mild conditions on T , we prove that if for any x, y ∈ T with xy = 0 (resp. xy = p, where p is the standard idempotent of T ), then δ = d + τ , where d is a derivation of T and τ : T -→ Z(T ) (where Z(T ) is the cent

On generalized Lie derivations of Lie id
On generalized Lie derivations of Lie ideals of prime algebras
✍ Ping-Bao Liao; Cheng-Kai Liu 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 136 KB

Let A be a prime algebra of characteristic not 2 with extended centroid C, let R be a noncentral Lie ideal of A and let B be the subalgebra of A generated by R. If f , d : R → A are linear maps satisfying that f ([x, y]) = f (x)yf (y)x + xd(y)yd(x) for all x, y ∈ R, then there exist a generalized de