Now showing items 1-8 of 8
Structurable superalgebras of Cartan type
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
We describe the simple Lie superalgebras arising from the unital structurable superalgebras of characteristic 0 and construct four series of the unital simple structurable superalgebras of Cartan type. We give a classification ...
JORDAN BIMODULES OVER THE SUPERALGEBRAS P(n) AND Q(n)
(AMER MATHEMATICAL SOC, 2010)
We extend the Jacobson's Coordinatization theorem to Jordan superalgebras. Using it we classify Jordan bimodules over superalgebras of types Q(n) and JP(n), n >= 3. Then we use the Tits-Kantor-Koecher construction and ...
Noncommutative Jordan superalgebras of degree n > 2
We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree n > 2, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative ...
Nonhomogeneous subalgebras of Lie and special Jordan superalgebras
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
We consider polynomial identities satisfied by nonhomogeneous subalgebras of Lie and special Jordan superalgebras: we ignore the grading and regard the superalgebra as an ordinary algebra. The Lie case has been studied by ...
delta-Superderivations of Semisimple Finite-Dimensional Jordan Superalgebras
(CONSULTANTS BUREAU/SPRINGERNEW YORK, 2012)
In the paper, a complete description of the delta-derivations and the delta-superderivations of semisimple finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic p not equal 2 is given. ...
Conservative Algebras Of 2-dimensional Algebras
(ELSEVIER SCIENCE INCNEW YORK, 2015)
Bases efetivas para superbimódulos metabelianos em variedades de álgebras não associativas
(Universidade Federal do Rio Grande do NorteBrasilUFRNPROGRAMA DE PÓS-GRADUAÇÃO EM MATEMÁTICA APLICADA E ESTATÍSTICA, 2021-05-28)
The problem of the description of an effective base for some algebra A over a field F is to find a base B for the vector space A over F with a certain algorithm of multiplication of the elements from B that in consequence ...