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SUMMARY:Andrés Pérez-Rodríguez (University of Santiago de Compostela\, 
 Spain)
DTSTART:20260525T150000Z
DTEND:20260525T160000Z
DTSTAMP:20260602T193141Z
UID:ENAAS/175
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/175/">
 Lattice-theoretical aspects of evolution algebras</a>\nby Andrés Pérez-R
 odríguez (University of Santiago de Compostela\, Spain) as part of Europe
 an Non-Associative Algebra Seminar\n\n\nAbstract\nLattice theories have be
 en developed in several algebraic structures\, such as groups and Lie alge
 bras\; however\, this is not the case for evolution algebras\, which are c
 ommutative but nonassociative structures introduced by Tian and Vojtěchov
 ský in 2006 to model non-Mendelian inheritance. Motivated by this\, in th
 is talk we study the subalgebra lattices of solvable evolution algebras\, 
 focusing on two classical lattice-theoretical properties: distributivity a
 nd modularity. Subsequently\, we turn to maximal subalgebras\, whose inter
 section is traditionally known as the Frattini subalgebra. This resulting 
 Frattini theory allows us to investigate intrinsic properties and to chara
 cterise dually atomistic evolution algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/175/
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