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Polynomial identities of bicommutative algebras, Lie and Jordan elements
- Publication Year :
- 2017
-
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.<br />Comment: 14 pages
- Subjects :
- Mathematics - Rings and Algebras
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1711.04300
- Document Type :
- Working Paper