Data di Pubblicazione:
2019
Citazione:
On the categorical behaviour of preordered groups / M.M. Clementino, N. Martins-Ferreira, A. Montoli. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 223:10(2019 Oct), pp. 4226-4245. [10.1016/j.jpaa.2019.01.006]
Abstract:
We study the categorical properties of preordered groups. We first give a description of limits and colimits in this category, and study some classical exactness properties. Then we point out a strong analogy between the algebraic behaviour of preordered groups and monoids, and we apply two different recent approaches to relative categorical algebra to obtain some homological properties of preordered groups.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Positive cone; Preordered group; Protomodular object; S-Protomodular category
Elenco autori:
M.M. Clementino, N. Martins-Ferreira, A. Montoli
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