Конструкция Херстейна для почти конечномерных супералгебр

Translated title of the contribution: Herstein's construction for just infinite superalgebras

Александр Сергеевич Панасенко, Виктор Николаевич Желябин

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The connections between semiprime associative Z2-graded algebras and Jordan superalgebras are studied. It is proved that if an adjoint Jordan superalgebra B (+)s to an associative noncommutative Z 2-graded semiprime superalgebra B contains an ideal, consisted of odd elements, then the center of algebra B contains a nonzero ideal. Besides, this ideal annihilates every commutator of the algebra B. As a corollary we have that if a Z 2-graded algebra B is just infinite then a Jordan superalgebra B (+)s is just infinite.

Translated title of the contributionHerstein's construction for just infinite superalgebras
Original languageRussian
Pages (from-to)1317-1323
Number of pages7
JournalСибирские электронные математические известия
Volume14
DOIs
Publication statusPublished - 6 Dec 2017

Keywords

  • associative algebras
  • Jordan superalgebras
  • just infinite algebras
  • semiprime algebras

OECD FOS+WOS

  • 1.01 MATHEMATICS

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