Mathematics – Commutative Algebra
Scientific paper
2010-04-07
Mathematics
Commutative Algebra
17 pages
Scientific paper
The structural constants of an evolution algebra is given by a quadratic matrix $A$. In this work we establish equivalence between nil, right nilpotent evolution algebras and evolution algebras, which are defined by upper triangular matrix $A$. The classification of 2-dimensional complex evolution algebras is obtained. For an evolution algebra with a special form of the matrix $A$ we describe all its isomorphisms and their compositions. We construct an algorithm running under Mathematica which decides if two finite dimensional evolution algebras are isomorphic.
Casas José Manuel
Ladra Manuel
Omirov B. A.
Rozikov Utkir A.
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