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ABSTRACT An algebra with identities a(bc) = b(ac), (ab)c = (ac)b is called bicommutative. We construct list of identities satisfied by commutator and anti-commutator products in a free bicommutative algebra. We give criterions for… Click to show full abstract
ABSTRACT An algebra with identities a(bc) = b(ac), (ab)c = (ac)b is called bicommutative. We construct list of identities satisfied by commutator and anti-commutator products in a free bicommutative algebra. We give criterions for elements of a free bicommutative algebra to be Lie or Jordan.
Keywords:
polynomial identities;
identities bicommutative;
jordan elements;
algebras lie;
bicommutative algebras;
lie jordan
Journal Title: Communications in Algebra
Year Published: 2017
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Journal Title: Communications in Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!