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https://hdl.handle.net/10316/89452| Title: | Facets of congruence distributivity in Goursat categories | Authors: | Gran, Marino Rodelo, Diana Nguefeu, Idriss Tchoffo |
Keywords: | Mal'tsev categories; Goursat categories; Congruence distributive varieties; Shifting Lemma; Triangular Lemma; Trapezoid Lemma | Issue Date: | 2020 | Publisher: | Elsevier | Project: | CMUC-UIDB/00324/2020 | Serial title, monograph or event: | Journal of Pure and Applied Algebra | Volume: | 224 | Issue: | 10 | Abstract: | We give new characterisations of regular Mal'tsev categories with distributive lattice of equivalence relations through variations of the so-called Triangular Lemma and Trapezoid Lemma in universal algebra. We then give new characterisations of equivalence distributive Goursat categories (which extend 3-permutable varieties) through variations of the Triangular and Trapezoid Lemmas involving reflexive and positive relations. | URI: | https://hdl.handle.net/10316/89452 | DOI: | 10.1016/j.jpaa.2020.106380 | Rights: | embargoedAccess |
| Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| arXiv version.pdf | 240.44 kB | Adobe PDF | View/Open |
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