Some Lie Admissible Algebras
1962 ◽
Vol 14
◽
pp. 287-292
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Keyword(s):
Several studies have been made to obtain larger classes of non-associative algebras from classes of algebras with a known structure. Thus, we have right alternative algebras (2)* and non-commutative Jordan algebras (6), (7), (8), and (9). These algebras are defined by a subset of the set of identities of the algebras from which they derive their names. Also, Albert (1), among others has studied Jordan admissible algebras. This paper is concerned with algebras which are related to Lie algebras in that they satisfy some of the identities of a Lie algebra and are Lie admissible. Theorem 2 answers a question raised by Albert in (1).
1991 ◽
Vol 110
(3)
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pp. 455-459
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Keyword(s):
2019 ◽
Vol 30
(03)
◽
pp. 451-466
2016 ◽
Vol 15
(09)
◽
pp. 1650159
Keyword(s):
1967 ◽
Vol 63
(3)
◽
pp. 569-578
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Keyword(s):
2010 ◽
Vol 20
(07)
◽
pp. 875-900
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Keyword(s):
1974 ◽
Vol 17
(1)
◽
pp. 5-10
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Keyword(s):