BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alicia Tocino Sánchez (University of Málaga\, Spain) DTSTART:20241216T150000Z DTEND:20241216T160000Z DTSTAMP:20260423T021403Z UID:ENAAS/97 DESCRIPTION:Title: T ensor product of evolution algebras\nby Alicia Tocino Sánchez (Univer sity of Málaga\, Spain) as part of European Non-Associative Algebra Semin ar\n\n\nAbstract\nThe starting point of this talk is the fact that the cla ss of evolution algebras over a fixed field is closed under tensor product . We prove that\, under certain conditions\, the tensor product is an evol ution algebra if and only if every factor is an evolution algebra. Another issue arises about the inheritance of properties from the tensor product to the factors and conversely. For instance\, nondegeneracy\, irreducibili ty\, perfectness and simplicity are investigated. The four-dimensional cas e is illustrative and useful to contrast conjectures\, so we achieve a com plete classification of four-dimensional perfect evolution algebras emergi ng as tensor product of two-dimensional ones. We find that there are four- dimensional evolution algebras that are the tensor product of two nonevolu tion algebras. This is a joint work together with Yolanda Cabrera Casado\, Dolores Martín Barquero and Cándido Martín González.\n LOCATION:https://researchseminars.org/talk/ENAAS/97/ END:VEVENT END:VCALENDAR