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scholarly journals Nuclear Elements of Degree 6 in the Free Alternative Algebra

2008 ◽  
Vol 17 (2) ◽  
pp. 245-255 ◽  
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.

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

A Nonzero Element of Degree 7 in the Center of the Free Alternative Algebra

2003 ◽  
Vol 31 (3) ◽  
pp. 1279-1299 ◽  
Author(s):  
Irvin Roy Hentzel ◽  
Luiz Antonio Peresi
Keyword(s):  
Nonzero Element ◽  
Alternative Algebra ◽  
Free Alternative ◽  
Free Alternative Algebra

PRIME ALTERNATIVE SUPERALGEBRAS AND NILPOTENCE OF THE RADICAL OF A FREE ALTERNATIVE ALGEBRA

1991 ◽  
Vol 37 (1) ◽  
pp. 19-36 ◽  
Author(s):  
E I Zel'manov ◽  
I P Shestakov
Keyword(s):  
Alternative Algebra ◽  
Free Alternative ◽  
Free Alternative Algebra

On the free alternative algebra with three generators

1987 ◽  
Vol 42 (6) ◽  
pp. 243-244
Author(s):  
N S Prokhanov
Keyword(s):  
Alternative Algebra ◽  
Free Alternative ◽  
Free Alternative Algebra

Trivial nuclear ideals of a free alternative algebra

1985 ◽  
Vol 24 (6) ◽  
pp. 455-471 ◽  
Author(s):  
V. T. Filippov
Keyword(s):  
Alternative Algebra ◽  
Free Alternative ◽  
Free Alternative Algebra

Nilpotent ideals of a free alternative algebra

1983 ◽  
Vol 22 (3) ◽  
pp. 250-259 ◽  
Author(s):  
V. T. Filippov
Keyword(s):  
Alternative Algebra ◽  
Free Alternative ◽  
Free Alternative Algebra
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