Some categorical remarks on non-associative algebras

Van der Linden, Tim
(2025) AMS Fall 2025 Eastern Virtual Sectional Meeting (25.October.2025)

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Abstract
From the point of view of category theory, varieties of non-associative algebras are exceptionally well behaved; formally simple, yet structurally rich, they are an excellent source of examples and counterexamples. Questions in the context of categorical algebra have recently led to some new results on non-associative algebras. In this talk, we explain how we obtained new category-theoretical characterizations of the varieties of associative algebras and of Lie algebras over an infinite field, with an emphasis on our motivation and an overview of the methods we used.
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Van der Linden, T. (2025). Some categorical remarks on non-associative algebras. AMS Fall 2025 Eastern Virtual Sectional Meeting.