Супералгебры Гельфанда-Дорфмана-Новикова-Пуассона и их обертывающие

Translated title of the contribution: Gelfand-Dorfman-Novikov-Poisson superalgebrasand their envelopes

Research output: Contribution to journalArticlepeer-review

Abstract

We prove some result of GDNP–algebras for GDNP–superalgebras and embeding some GDNP–superalgebras into GDNP–superalgebras of vector type. Also we prove that not every GDNP–superalgebra can be embeded into associative supercommutative superalgebra with even derivation D and product given by a o b = aD(b).

Translated title of the contributionGelfand-Dorfman-Novikov-Poisson superalgebrasand their envelopes
Original languageRussian
Pages (from-to)1843-1855
Number of pages13
JournalСибирские электронные математические известия
Volume16
DOIs
Publication statusPublished - Dec 2019

Keywords

  • derivations of algebras
  • Gelfand-Dorfman-Novikov-Poisson superalgebras
  • Jordan superalgebras
  • ALGEBRAS

OECD FOS+WOS

  • 1.01 MATHEMATICS

State classification of scientific and technological information

  • 27.17 Algebra

Fingerprint

Dive into the research topics of 'Gelfand-Dorfman-Novikov-Poisson superalgebrasand their envelopes'. Together they form a unique fingerprint.

Cite this