| Title | Finite dimensional evolution algebras and (pseudo)digraphs |
|---|---|
| Authors | CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F. |
| External publication | No |
| Means | Math Methods Appl Sci |
| Scope | Article |
| Nature | Científica |
| JCR Quartile | 1 |
| SJR Quartile | 1 |
| JCR Impact | 2.321 |
| SJR Impact | 0.719 |
| Web | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85087162218&doi=10.1002%2fmma.6632&partnerID=40&md5=6ef4e5263882a94792c8336aadacb68f |
| Publication date | 22/06/2020 |
| ISI | 000541480600001 |
| Scopus Id | 2-s2.0-85087162218 |
| DOI | 10.1002/mma.6632 |
| Abstract | In this paper, we focus on the link between evolution algebras and\n (pseudo)digraphs. We study some theoretical properties about this\n association and determine the properties of the (pseudo)digraphs\n associated with each type of evolution algebras. We also analyze the\n isomorphism classes for each configuration associated with these\n algebras providing a new method to classify them, and we compare our\n results with the current classifications of two- and three-dimensional\n evolution algebras. In order to complement the theoretical study, we\n have designed and performed the implementation of an algorithm, which\n constructs and draws the (pseudo)digraph associated with a given\n evolution algebra and another procedure to study the solvability of a\n given evolution algebra. |
| Keywords | algorithm; digraph; evolution algebra; isomorphism |
| Universidad Loyola members |