The inner mappings of extra loops
V. O. Chiboka (2002)
Kragujevac Journal of Mathematics
Similarity:
V. O. Chiboka (2002)
Kragujevac Journal of Mathematics
Similarity:
Eugen Paal (2004)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
It is explicitly shown how the Lie algebras can be associated with the analytic Moufang loops. The resulting Lie algebra commutation relations are well known from the theory of alternative algebras.
Orin Chein, Edgar G. Goodaire (2008)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Possession of a unique nonidentity commutator/associator is a property which dominates the theory of loops whose loop rings, while not associative, nevertheless satisfy an ``interesting'' identity. Indeed, until now, with the exception of some ad hoc examples, the only known class of Bol loops whose loop rings satisfy the right Bol identity have this property. In this paper, we identify another class of loops whose loop rings are ``strongly right alternative'' and present various constructions...
Jaíyéọlá, Tèmítópé Gbóláhàn (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
Similarity:
Jaíyéọlá, Témìtọ́pẹ́ Gbọ́láhàn, Adéníran, John Olúsọlá (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
Similarity:
Anthony Donald Keedwell (2008)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We contrast the simple proof that a quasigroup which satisfies the Moufang identity is necessarily a loop (Moufang loop) with the remarkably involved prof that a quasigroup which satisfies the Moufang identity is likewise necessarily a Moufang loop and attempt to explain why the proofs are so different in complexity.