Nil ideals of finite codimension in alternative Noetherian algebras

V. N. Zhelyabin, A. S. Panasenko

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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
Issue number3-4
Publication statusPublished - 1 Mar 2017


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


Dive into the research topics of 'Nil ideals of finite codimension in alternative Noetherian algebras'. Together they form a unique fingerprint.

Cite this