Preprint

On the property of subalgebras of Evolution algebras

L.M. CamachoUniversidad de SevillaAbror KhudoyberdiyevNational University of Uzbekistan,B. A. OmirovNational University of Uzbekistan,

arXiv (Cornell University)repository2014en

ABI

Abstract

In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be extended to a natural basis of algebra. Moreover, we formulate three conjectures related to description of such non-nilpotent algebras.

Topics

Advanced Topics in Algebra Algebraic structures and combinatorial models Matrix Theory and Algorithms

Identifiers

DOI: 10.48550/arxiv.1405.7126

Citations and references

Cited by 010 references

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