The derived superalgebra of skew elements of a semiprime superalgebra with superinvolution

  1. Laliena, J. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    GRID grid.119021.a

Journal:
Journal of Algebra

ISSN: 0021-8693

Year of publication: 2014

Volume: 420

Pages: 65-85

Type: Article

Export: RIS
DOI: 10.1016/j.jalgebra.2014.07.031 SCOPUS: 2-s2.0-84908323461 WoS: 000343020900005 GOOGLE SCHOLAR
Institutional archive: lock_openOpen access editor

Metrics

Cited by

  • Scopus Cited by: 1 (12-06-2021)

Journal Citation Reports

  • Year 2014
  • Journal Impact Factor: 0.599
  • Best Quartile: Q3
  • Area: MATHEMATICS Quartile: Q3 Rank in area: 159/312 (Ranking edition: SCIE)

SCImago Journal Rank

  • Year 2014
  • SJR Journal Impact: 1.541
  • Best Quartile: Q1
  • Area: Algebra and Number Theory Quartile: Q1 Rank in area: 9/92

CiteScore

  • Year 2014
  • CiteScore: 1.2
  • Area: Algebra and Number Theory Percentile: 53

Summary

In this paper we investigate the Lie structure of the derived Lie superalgebra [K, K], with K the set of skew elements of a semiprime associative superalgebra A with superinvolution. We show that if U is a Lie ideal of [K, K], then either there exists an ideal J of A such that the Lie ideal [J∩K, K] is nonzero and contained in U, or A is a subdirect sum of A', A′, where the image of U in A' is central, and A′ is a subdirect product of orders in simple superalgebras, each at most 16-dimensional over its center.