FAMILIES OF ALGEBRAIC STRUCTURES

Loïc Foissy (1) , Dominique Manchon (2) , Yuanyuan Zhang (2, 3)

1 LMPA - Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville
2 LMBP - Laboratoire de Mathématiques Blaise Pascal
3 Lanzhou University

We give a general account of family algebras over a finitely presented linear operad, this operad together with its presentation naturally defining an algebraic structure on the set of parameters.

Domaines: Anneaux et algèbres [math.RA]

Loïc Foissy, Dominique Manchon, Yuanyuan Zhang. FAMILIES OF ALGEBRAIC STRUCTURES. 2020. ⟨hal-02571476v1⟩