Basis problem for a free alternative ?-algebra

1981 ◽  
Vol 21 (4) ◽  
pp. 579-583
Author(s):  
N. S. Prokhanov
Keyword(s):  
Alternative Algebra ◽  
Basis Problem ◽  
Free Alternative ◽  
Free Alternative Algebra

scholarly journals The Nucleus of the Free Alternative Algebra

2006 ◽  
Vol 15 (4) ◽  
pp. 445-454 ◽  
Author(s):  
I. R. Hentzel ◽  
L. A. Peresi
Keyword(s):  
Alternative Algebra ◽  
Free Alternative ◽  
Free Alternative Algebra

THE FREE ALTERNATIVE SUPERALGEBRA ON ONE ODD GENERATOR

2007 ◽  
Vol 17 (05n06) ◽  
pp. 1215-1247 ◽  
Author(s):  
IVAN SHESTAKOV ◽  
NATALIA ZHUKAVETS
Keyword(s):  
Alternative Algebra ◽  
Grassmann Algebra ◽  
Free Alternative ◽  
Countable Rank ◽  
Free Alternative Algebra

A base of the free alternative superalgebra on one odd generator is constructed. As a corollary, a base of the alternative Grassmann algebra is given. We also find a new element of degree 5 from the radical of the free alternative algebra of countable rank.

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