ON SEMISIMPLE ALTERNATIVE LOOP ALGEBRAS

Authors
Citation
Lgx. Debarros, ON SEMISIMPLE ALTERNATIVE LOOP ALGEBRAS, Communications in algebra, 21(11), 1993, pp. 3995-4011
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00927872
Volume
21
Issue
11
Year of publication
1993
Pages
3995 - 4011
Database
ISI
SICI code
0092-7872(1993)21:11<3995:OSALA>2.0.ZU;2-0
Abstract
Let QL be the loop algebra of an R.A. loop L over the rational field Q . Assume that the non-trivial commutator in L is not a square of a cen tral element. In [1]. it is shown that QL determines L. In this paper we characterize all fields K, with char K not-equal 2, such that KL de termines L for all R.A. 2-loops L with the above property.