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Classification in chains of three-dimensional real evolution algebras.
- Source :
-
Linear & Multilinear Algebra . Jan2023, Vol. 71 Issue 2, p265-300. 36p. - Publication Year :
- 2023
-
Abstract
- A chain of evolution algebras (CEA) is an uncountable family (depending on time) of evolution algebras on the field of real numbers. The matrix of structural constants of a CEA satisfies the Chapman-Kolmogorov equation. In this paper, we consider three CEAs of three-dimensional real evolution algebras. These CEAs depend on several (non-zero) functions defined on the set of time. For each chain we give a full classification (up to isomorphism) of the algebras depending on the time-parameter. We find concrete functions ensuring that the corresponding CEA contains all possible three-dimensional evolution algebras. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*REAL numbers
*SET functions
*CLASSIFICATION
*MARKOV processes
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 71
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 163169566
- Full Text :
- https://doi.org/10.1080/03081087.2022.2025754