Generalized associative algebras - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2021

Generalized associative algebras

Résumé

We study diverse parametrized versions of the operad of associative algebra, where the parameter are taken in an associative semigroup Ω (generalization of matching or family associative algebras) or in its cartesian square (two-parameters associative algebras). We give a description of the free algebras on these operads, study their formal series and prove that they are Koszul when the set of parameters is finite. We also study operadic morphisms between the operad of classical associative algebras and these objects.
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Dates et versions

hal-03187479 , version 1 (01-04-2021)
hal-03187479 , version 2 (03-12-2021)
hal-03187479 , version 3 (08-11-2022)

Identifiants

Citer

Loïc Foissy. Generalized associative algebras. 2021. ⟨hal-03187479v1⟩
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