Journal of Hebei University (Natural Science Edition) ›› 2010, Vol. 30 ›› Issue (2): 120-122.DOI: 10.3969/j.issn.1000-1565.2010.02.003

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Subideals of Malcev Algebras

DONG Lei1,ZHAO Li-na2,ZHU Ying1,CHEN Jun-ying1   

  • Online:2010-03-25 Published:2010-03-25

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

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