RESEARCH
On Solvable Evolution Algebras and a Conjecture by García-Martínez and Pérez-Rodríguez
October 02, 2026
Abstract
We study finite-dimensional solvable evolution algebras, that is, evolution algebras for which their derived series terminates at zero. We disprove a conjecture by García-Martínez and Pérez-Rodríguez. Then, in terms of idempotent subspaces, we propose a novel characterization of solvable evolution algebras as well as of evolution algebras without nonzero idempotent elements. We remark on the use of AI in this research, see Statement of AI Use.
Download the Paper
Related Publications
October 02, 2026
RESEARCH
Tightness of the Cycle-Based Relaxation for Completed Length-Three Alpha-Cycles
Aykut Arslan
October 02, 2026
October 02, 2026
RESEARCH
String Two-Point Function = Height Function on a Curve
Anindya Dey, Gabriel Herczeg, An Huang, Nicolas Jaramillo Torres, Jacob H. Swenberg
October 02, 2026
October 02, 2026
RESEARCH
Semiabelian Groups Need Not Be Monomial
Joseph Phillip Brennan, Milana Golich
October 02, 2026
October 02, 2026
RESEARCH
Finite-Time Blow-Up of Radial Negative-Energy Solutions for the Mass-Critical Biharmonic Nonlinear Schrödinger Equation
Leonard Dinh
October 02, 2026
Help Us Pioneer The Future of AI
We share our open source frameworks, tools, libraries, and models for everything from research exploration to large-scale production deployment.
Meta © 2026
