On the categorical behaviour of preordered groups

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:223

Article

Clementino, Maria Manuel¹  Martins-Ferreira, Nelson²  Montoli, Andrea³ 

[1] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal

[2] Inst Politecn Leiria, ESTG, CDRSP, Leiria, Portugal

[3] Univ Milan, Dipartimento Matemat Federigo Enriques, Via Saldini 50, I-20133 Milan, Italy

关键词: Preordered group;    Positive cone;    Protomodular object;    S-Protomodular category;   

DOI  :  10.1016/j.jpaa.2019.01.006

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free