Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/43919
Title: On some categorical-algebraic conditions in S-protomodular categories
Authors: Martins-Ferreira, Nelson 
Montoli, Andrea 
Sobral, Manuela 
Issue Date: 2017
Publisher: Logical Methods in Computer Science e. V.
Project: info:eu-repo/grantAgreement/FCT/5876/147205/PT 
Abstract: In the context of protomodular categories, several additional conditions have been considered in order to obtain a closer group-like behavior. Among them are locally algebraic cartesian closedness and algebraic coherence. The recent notion of S-protomodular category, whose main examples are the category of monoids and, more generally, categories of monoids with operations and Joónsson-Tarski varieties, raises a similar question: how to get a description of S-protomodular categories with a strong monoid-like behavior. In this paper we consider relative versions of the conditions mentioned above, in order to exhibit the parallelism with the "absolute" protomodular context and to obtain a hierarchy among S-protomodular categories.
URI: http://hdl.handle.net/10316/43919
DOI: 10.23638/LMCS-13(3:18)2017
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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