Based on the study of preordered groups of [1], we introduce and study V-groups and their homomorphisms, for a commutative and unital quantale V.
(This talk is based on joint work with Andrea Montoli [2].)

References:
[1] M.M. Clementino, N. Martins-Ferreira, A. Montoli, On the categorical behaviour of preordered groups, J. Pure Appl. Algebra 223 (2019), 4226-4245.

[2] M.M. Clementino, A. Montoli, On the categorical behaviour of V-groups, in preparation.