Weak Representability of Actions of Non-Associative Algebras

Mancini, Manuel
(2023) Seminar of the Dipartimento di Matematica “Federigo Enriques”, Università degli Studi di Milano Statale — Location: Milan, Italy (29.March.2023)

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(en) In this talk we show that the converse of the implication "Weakly Action Representable Category => Action Accessible Category" is false also in the context of varieties of non-associative algebras over a field. Then, for an algebraically coherent variety V and an object X of V, we construct a partial algebra [X] and a monomorphism of functors Act(-,X)>->Hom_{PAlg}(-,[X]), where PAlg is the category of partial algebras over F. This is joint work with Xabier García Martínez (Universidade de Vigo), Tim Van der Linden and Corentin Vienne (Université catholique de Louvain).
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Mancini, M. (2023, March 29). Weak Representability of Actions of Non-Associative Algebras. Seminar of the Dipartimento di Matematica “Federigo Enriques”, Università degli Studi di Milano Statale, Milan, Italy. https://hdl.handle.net/2078.5/279071