Carter subgroups in the group of units of an associative algebra
2005 ◽
Vol 71
(3)
◽
pp. 471-478
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Keyword(s):
In this paper we examine some properties of the Carter subgroups in the group of units of certain associative algebras. A description of the Carter subgroups in the case of a solvable associative algebra is obtained. Moreover, given an associative algebra A, we study relationships between the Cartan subalgebras of the Lie algebra associated with A and the Carter subgroups of the group of units of A.
2019 ◽
Vol 30
(03)
◽
pp. 451-466
2006 ◽
Vol 08
(02)
◽
pp. 135-165
◽
2010 ◽
Vol 20
(07)
◽
pp. 875-900
◽
Keyword(s):
Keyword(s):