One-generated nilpotent assosymmetric algebras

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Mashurov F., Kaygorodov I.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.21, no.02, 2022 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 21 Issue: 02
  • Publication Date: 2022
  • Doi Number: 10.1142/s0219498822500311
  • Journal Name: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Assosymmetric algebras, nilpotent algebras, algebraic classification, central extension, GEOMETRIC CLASSIFICATION, LIE-ALGEBRAS, FIELDS
  • Open Archive Collection: AVESIS Open Access Collection
  • Süleyman Demirel University Affiliated: No

Abstract

We give the classification of 5- and 6-dimensional complex one-generated nilpotent assosymmetric algebras.