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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.
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Date: |
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| Start Time: |
15:00 |
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Speaker: |
Tim Van der Linden (Université Catholique de Louvain, Belgium)
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Institution: |
Université Catholique de Louvain
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Place: |
ZOOM
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| Research Groups: |
-Algebra, Logic and Topology
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See more:
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