Trivial nuclear ideals of a free alternative algebra

V. T. Filippov

doi:10.1007/bf01978848

Trivial nuclear ideals of a free alternative algebra

Algebra and Logic ◽

10.1007/bf01978848 ◽

1985 ◽

Vol 24 (6) ◽

pp. 455-471 ◽

Cited By ~ 2

Author(s):

V. T. Filippov

Keyword(s):

Alternative Algebra ◽

Free Alternative ◽

Free Alternative Algebra

Central Elements of Minimal Degree in the Free Alternative Algebra

Lecture Notes in Pure and Applied Mathematics - Non-Associative Algebra and Its Applications ◽

10.1201/9781420003451.ch15 ◽

2006 ◽

pp. 195-204

Author(s):

Irvin Roy Hentzel ◽

Luiz Antonio Peresi

Keyword(s):

Alternative Algebra ◽

Minimal Degree ◽

Free Alternative ◽

Free Alternative Algebra ◽

Central Elements

Central Elements of Minimal Degree in the Free Alternative Algebra

Non-Associative Algebra and Its Applications ◽

10.1201/9781420003451-23 ◽

2006 ◽

pp. 231-240

Keyword(s):

Alternative Algebra ◽

Minimal Degree ◽

Free Alternative ◽

Free Alternative Algebra ◽

Central Elements

Nilpotent ideals of a free alternative algebra

Algebra and Logic ◽

10.1007/bf01978984 ◽

1983 ◽

Vol 22 (3) ◽

pp. 250-259 ◽

Cited By ~ 4

Author(s):

V. T. Filippov

Keyword(s):

Alternative Algebra ◽

Free Alternative ◽

Free Alternative Algebra

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

Communications in Algebra ◽

10.1081/agb-120017767 ◽

2003 ◽

Vol 31 (3) ◽

pp. 1279-1299 ◽

Cited By ~ 3

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

Mathematics of the USSR-Izvestiya ◽

10.1070/im1991v037n01abeh002049 ◽

1991 ◽

Vol 37 (1) ◽

pp. 19-36 ◽

Cited By ~ 19

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

Russian Mathematical Surveys ◽

10.1070/rm1987v042n06abeh001507 ◽

1987 ◽

Vol 42 (6) ◽

pp. 243-244

Author(s):

N S Prokhanov

Keyword(s):

Alternative Algebra ◽

Free Alternative ◽

Free Alternative Algebra

Basis problem for a free alternative ?-algebra

Siberian Mathematical Journal ◽

10.1007/bf00995959 ◽

1981 ◽

Vol 21 (4) ◽

pp. 579-583

Author(s):

N. S. Prokhanov

Keyword(s):

Alternative Algebra ◽

Basis Problem ◽

Free Alternative ◽

Free Alternative Algebra

Trivial ideals of a free alternative algebra

Algebra and Logic ◽

10.1007/bf01978666 ◽

1983 ◽

Vol 22 (2) ◽

pp. 130-142 ◽

Cited By ~ 5

Author(s):

V. T. Filippov

Keyword(s):

Alternative Algebra ◽

Free Alternative ◽

Free Alternative Algebra

The Nucleus of the Free Alternative Algebra

Experimental Mathematics ◽

10.1080/10586458.2006.10128972 ◽

2006 ◽

Vol 15 (4) ◽

pp. 445-454 ◽

Cited By ~ 2

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

International Journal of Algebra and Computation ◽

10.1142/s0218196707003895 ◽

2007 ◽

Vol 17 (05n06) ◽

pp. 1215-1247 ◽

Cited By ~ 9

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.