Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43919
Title: | On some categorical-algebraic conditions in S-protomodular categories | Authors: | Martins-Ferreira, Nelson Montoli, Andrea Sobral, Manuela |
Keywords: | Mathematics - Category Theory | Issue Date: | 2017 | Publisher: | Logical Methods in Computer Science e. V. | Project: | info:eu-repo/grantAgreement/FCT/5876/147205/PT CMUC-UID/MAT/00324/2013 |
Serial title, monograph or event: | Logical Methods in Computer Science | Volume: | 13 | Issue: | 3 | 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: | https://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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Schreier lacc revised.pdf | 116.23 kB | Adobe PDF | View/Open |
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