The Universal Multiplicative Envelope of the Free Malcev Superalgebra on One Odd Generator

Ivan Shestakov, Natalia Zhukavets
2006 Communications in Algebra  
A base of the universal multiplicative envelope for the free Malcev superalgebra on one odd generator is constructed. Some corollaries for central skew-symmetric elements in free Malcev and free alternative algebras are obtained. In particular, the Malcev Grassmann algebra is constructed.
doi:10.1080/00927870500454570 fatcat:yaeebrxr4jgn7ivzwapbaxxixm