𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Commutativity-preserving maps on Lie ideals of prime algebras

✍ Scribed by Ying-Fen Lin


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
93 KB
Volume
371
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On generalized Lie derivations of Lie id
✍ Ping-Bao Liao; Cheng-Kai Liu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 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 β†’ 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

On Lie-Admissible Algebras Whose Commuta
✍ K.I. Beidar; M.A. Chebotar πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 210 KB

We describe third power associative multiplications ) on noncentral Lie ideals of prime algebras and skew elements of prime algebras with involution provided w x that x ) y y y ) x s x, y for all x, y and the prime algebras in question do not satisfy polynomial identities of low degree. We also obta

Nonlinear maps preserving Lie products o
✍ Jian-Hua Zhang; Fang-Juan Zhang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 149 KB

In this paper, we prove that every bijective map preserving Lie products from a factor von Neumann algebra M into another factor von Neumann algebra N is of the form A β†’ ψ(A) + ΞΎ(A), where ψ : M β†’ N is an additive isomorphism or the negative of an additive anti-isomorphism and ΞΎ : M β†’ CI is a map wi

On ideals of cone preserving maps
✍ J.G. Horne πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 996 KB
Commuting Varieties of Lie Algebras over
✍ Paul Levy πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 117 KB

Let K be an algebraically closed field of positive characteristic and let G be a reductive group over K with Lie algebra . This paper will show that under certain mild assumptions on G, the commuting variety is an irreducible algebraic variety.  2002 Elsevier Science (USA)