Associativity and the co-smash product
 
 
Description:  The aim of this talk is to sketch some ideas in joint work-in-progress with Ülo Reimaa and Corentin Vienne. The original question we set out to answer was to characterise when the objects in a variety of algebras over a field K have a multiplication that is associative. What we found is a categorical description of the variety of commutative associative algebras over K amongst all so-called operadic varieties over K, where a set of multilinear identities suffices to describe the algebras in the variety. As it turns out, the variety of commutative associative algebras over K is the only operadic variety whose co-smash products are not just symmetric, but also associative in the sense of Carboni and Janelidze.
Date:  2022-05-24
Start Time:   15:00
Speaker:  Tim Van der Linden (Université Catholique de Louvain, Belgium)
Institution:  Université Catholique de Louvain
Place:  ZOOM
Research Groups: -Algebra, Logic and Topology
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