IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Solutions of the Braid Equation and Orders
Autor/es:
GUCCIONE, JORGE A.; VALQUI, CHRISTIAN; GUCCIONE, JUAN J.
Revista:
Algebras and Representation Theory
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2019 vol. 22 p. 665 - 697
ISSN:
1386-923X
Resumen:
We introduce the notion of non-degenerate solution of the braid equation on theincidence coalgebra of a locally finite order. Each one of these solutions induces by restriction a non-degenerate set-theoretic solution over the underlying set. So, it makes sense to ask if a non-degenerate set-theoretic solution on the underlying set of a locally finite order extends to a non-degenerate solution on its incidence coalgebra. In this paper we begin the study of this problem.