Commutativity-preserving maps on Lie ideals of prime algebras
β Scribed by Ying-Fen Lin
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 93 KB
- Volume
- 371
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
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 β R, then there exist a generalized de
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
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 Ο(A) + ΞΎ(A), where Ο : M β N is an additive isomorphism or the negative of an additive anti-isomorphism and ΞΎ : M β CI is a map wi
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)