SOME PROPERTIES OF EVOLUTION ALGEBRAS

SOME PROPERTIES OF EVOLUTION ALGEBRAS

The paper is devoted to the study of finite dimensional com- plex evolution algebras. The class of evolution algebras isomorphic to evolution algebras with Jordan form matrices is described. For finite dimensional complex evolution algebras the criterium of nilpotency is es- tablished in terms of th...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2013, 50(5), , pp.1481-1494
Hauptverfasser: Camacho, L.M., Gomez, J.R., Omirov, B.A., Turdibaev, R.M.
Format: Artikel
Sprache:eng
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수학
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Zusammenfassung:The paper is devoted to the study of finite dimensional com- plex evolution algebras. The class of evolution algebras isomorphic to evolution algebras with Jordan form matrices is described. For finite dimensional complex evolution algebras the criterium of nilpotency is es- tablished in terms of the properties of corresponding matrices. Moreover, it is proved that for nilpotent n-dimensional complex evolution algebras the possible maximal nilpotency index is 1 + 2n−1. KCI Citation Count: 29
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.2013.50.5.1481