FINITE CONJUGACY IN ALTERNATIVE LOOP ALGEBRAS

Authors
GOODAIRE EG MILIES CP
Citation
Eg. Goodaire et Cp. Milies, FINITE CONJUGACY IN ALTERNATIVE LOOP ALGEBRAS, Communications in algebra, 24(3), 1996, pp. 881-889
Citations number
11
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
24
Issue
3
Year of publication
1996
Pages
881 - 889
Database
ISI
SICI code
0092-7872(1996)24:3<881:FCIALA>2.0.ZU;2-6
Abstract
Let F be a field and L a loop such that FL is an alternative algebra. We denote by U(FL) the Moufang loop of invertible elements in FL. We s ay that U(FL) is FC if, for every unit u is an element of U(FL), the s et {x(-1)ux \ x is an element of U(FL)} is finite. In this paper, we f ind necessary and sufficient conditions for U(FL) to be FC.