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https://hdl.handle.net/10316/114074
Title: | On split extensions of preordered groups | Authors: | Clementino, Maria Manuel Ruivo, Carla |
Issue Date: | 2023 | Publisher: | European Mathematical Society Publishing House | Project: | UIDB/00324/2020 | Serial title, monograph or event: | Portugaliae Mathematica | Volume: | 80 | Issue: | 3 | Abstract: | We investigate the behaviour of split extensions in the category OrdGrp of (pre)- ordered groups. Namely we show that the lexicographic order plays a key role on the existence of compatible orders for semidirect products, establishing necessary and sufficient conditions for such existence; we prove that the Split Short Five Lemma holds for (stably) strong split extensions, and identify classes of split extensions which admit a classifier. | URI: | https://hdl.handle.net/10316/114074 | ISSN: | 0032-5155 | DOI: | 10.4171/PM/2101 | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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