4 papers
Characterization of the absorption radical of an evolution algebra using their associated graph
Paula Cadavid, Tiago Reis, Mary Luz Rodiño
In this paper we present a method for finding the absorbing radical of a finite-dimensional evolution algebra. Such a method consists of finding the acyclic vertices of an oriented…
Derivations and loops of some evolution algebras
Yolanda Cabrera Casado, Paula Cadavid, Tiago Reis
In this work we study the space of derivations of non-degenerate evolution algebras. We improve some results obtained recently in the literature and, as a consequence, we advance i…
Derivations of Evolution Algebras associated to graphs over a field of any characteristic
Tiago Reis, Paula Cadavid
The space of derivations of finite dimensional evolution algebras associated to graphs over a field with characteristic zero has been completely characterized in the literature. In…
Gaps of powers of consecutive primes and some consequences
Douglas Azevedo, Tiago Reis
Let denote the -th prime number, be a sequence of positive numbers and . In this note we prove that the inequality $$q_n p_{n+1}^{x}-q_{n+1}p_{n}…