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https://hdl.handle.net/10316/89416| Title: | On the categorical behaviour of preordered groups | Authors: | Clementino, Maria Manuel Martins-Ferreira, Nelson Montoli, Andrea |
Keywords: | Preordered group; Positive cone; Protomodular object; S-Protomodular category | Issue Date: | Oct-2019 | Publisher: | Elsevier | Project: | UID/MAT/00324/2013 | metadata.degois.publication.title: | Journal of Pure and Applied Algebra | metadata.degois.publication.volume: | 223 | metadata.degois.publication.issue: | 10 | 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. | URI: | https://hdl.handle.net/10316/89416 | DOI: | 10.1016/j.jpaa.2019.01.006 | Rights: | embargoedAccess |
| Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ordgrp JPAA.pdf | 383.24 kB | Adobe PDF | View/Open |
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