BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Andrés Pérez-Rodríguez (University of Santiago de Compostela\, Spain) DTSTART:20260525T150000Z DTEND:20260525T160000Z DTSTAMP:20260423T021115Z UID:ENAAS/175 DESCRIPTION:Title: Lattice-theoretical aspects of evolution algebras\nby Andrés Pérez-R odríguez (University of Santiago de Compostela\, Spain) as part of Europe an Non-Associative Algebra Seminar\n\nInteractive livestream: https://us02 web.zoom.us/j/7803181064\n\nAbstract\nLattice theories have been developed in several algebraic structures\, such as groups and Lie algebras\; howev er\, this is not the case for evolution algebras\, which are commutative b ut nonassociative structures introduced by Tian and Vojtěchovský in 2006 to model non-Mendelian inheritance. Motivated by this\, in this talk we s tudy the subalgebra lattices of solvable evolution algebras\, focusing on two classical lattice-theoretical properties: distributivity and modularit y. Subsequently\, we turn to maximal subalgebras\, whose intersection is t raditionally known as the Frattini subalgebra. This resulting Frattini the ory allows us to investigate intrinsic properties and to characterise dual ly atomistic evolution algebras.\n LOCATION:https://researchseminars.org/talk/ENAAS/175/ URL:https://us02web.zoom.us/j/7803181064 END:VEVENT END:VCALENDAR