Nil ideals of finite codimension in alternative Noetherian algebras

V. N. Zhelyabin, A. S. Panasenko

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Abstract

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 alternative nonassociative algebras (for the field characteristic distinct from 2).

Original languageEnglish
Pages (from-to)460-466
Number of pages7
JournalMathematical Notes
Volume101
Issue number3-4
DOIs
Publication statusPublished - 1 Mar 2017

Keywords

  • alternative algebra
  • codimension
  • exceptional algebra
  • just infinite algebra
  • nil ideal
  • Noetheriaty

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