Zobrazeno 1 - 10
of 38
pro vyhledávání: '"V. N. Zhelyabin"'
Publikováno v:
Algebra and Logic. 61:160-165
Autor:
A. S. Zakharov, V. N. Zhelyabin
Publikováno v:
Sibirskii matematicheskii zhurnal. 61:803-822
Autor:
V. N. Zhelyabin
Publikováno v:
Siberian Mathematical Journal. 61:62-75
We show that the Jordan bracket on an associative commutative superalgebra is extendable to the superalgebra of fractions. In particular, we prove that a unital simple abelian Jordan superalgebra is embedded into a simple superalgebra of a Jordan bra
Autor:
V. N. Zhelyabin
Publikováno v:
Sibirskii matematicheskii zhurnal. 61:78-95
Autor:
V. N. Zhelyabin
Publikováno v:
Sibirskie Elektronnye Matematicheskie Izvestiya. 16:1375-1384
Autor:
A. S. Panasenko, V. N. Zhelyabin
Publikováno v:
Algebra and Logic. 57:336-352
Nearly finite-dimensional Jordan algebras are examined. Analogs of known results are considered. Namely, it is proved that such algebras are prime and nondegenerate. It is shown that the property of being nearly finite-dimensional is preserved in pas
Autor:
V. N. Zhelyabin
Publikováno v:
Siberian Mathematical Journal. 59:1051-1062
Studying the unital simple Jordan superalgebras with associative even part, we describe the unital simple Jordan superalgebras such that every pair of even elements induces the zero derivation and every pair of two odd elements induces the zero deriv
Autor:
V. N. Zhelyabin, A. S. Panasenko
Publikováno v:
Mathematical Notes. 101:460-466
Alternative (right) Noetherian algebras are considered. It is proved that, in these algebras, the nil ideals of finite codimension are nilpotent, which generalizes the corresponding Zhevlakov’s result. As a corollary, we describe just infinite alte
Autor:
V. N. Zhelyabin, A. S. Zakharov
Publikováno v:
St. Petersburg Mathematical Journal. 28:197-208
Autor:
V. N. Zhelyabin
Publikováno v:
Siberian Mathematical Journal. 57:987-1001
Under study are the simple infinite-dimensional abelian Jordan superalgebras not isomorphic to the superalgebra of a bilinear form. We prove that the even part of such superalgebra is a differentially simple associative commutative algebra, and the o