A digraph is attached to any evolution algebra. This graph leads to some new purely
algebraic results on this class of algebras and allows for some new natural proofs of known …

We study evolution algebras of arbitrary dimension. We analyze in deep the notions of
evolution subalgebras, ideals and non-degeneracy and describe the ideals generated by …

Even if it has been less than a decade and a half since Tian introduced his concept of
evolution algebras to represent algebraically non-Mendelian rules in Genetics, their study is …

In this chapter we give main definitions and useful facts of the theory of Gibbs measures of
lattice spin systems. In the first section we give general definitions. This chapter also …

The structural constants of an evolution algebra are given by a quadratic matrix. In this work
we establish an equivalence between nil, right nilpotent evolution algebras and evolution …

We introduce a notion of chain of evolution algebras. The sequence of matrices of the
structural constants for this chain of evolution algebras satisfies an analogue of Chapman …

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Evolution algebras are non-associative algebras that describe non-Mendelian hereditary
processes and have connections with many other areas. In this paper, we obtain necessary …

An evolution algebra corresponds to a quadratic matrix A of structural constants. It is known
the equivalence between nil, right nilpotent evolution algebras and evolution algebras which …

Recently in [2] a notion of chain of evolution algebras is introduced. This chain is a
dynamical system the state of which at each given time is an evolution algebra. The …