Journal of Hebei University(Natural Science Edition) >

2010 , Vol. 30 >Issue 2: 120 - 122

DOI: https://doi.org/10.3969/j.issn.1000-1565.2010.02.003

Subideals of Malcev Algebras

  • DONG Lei ,
  • ZHAO Li-na ,
  • ZHU Ying ,
  • CHEN Jun-ying
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Online published: 2010-03-25

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Abstract

Examples are introduced to show that subideals of Malcev algebras are different from their ideals. Some basic properties of Malcev algebras'subideals are given. Propositions are shown as follows: subideals of semisimple Malcev algebras are their ideals;idempotent subideals of a Malcev algebra are its ideals;subalgebras of a nilpotent Malcev algebra are its subideals;a Malcev algebra is solvable if its subalgebras are all subideals.

Key words： Malcev algebra; subideal; semisimple; solvable; nilpotent

Cite this article

DONG Lei , ZHAO Li-na , ZHU Ying , CHEN Jun-ying . Subideals of Malcev Algebras[J]. Journal of Hebei University(Natural Science Edition), 2010 , 30(2) : 120 -122 . DOI: 10.3969/j.issn.1000-1565.2010.02.003

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