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Journal Articles Algebra Universalis Year : 2021

Split epimorphisms as a productive tool in Universal Algebra

Abstract

By various examples, we show how, in Universal Algebra, the choice of a class of split epimorphisms Σ, defined by specific equations or local operations in their fibres, can be used as a productive and flexible tool determining Σ-partial properties. We focus, here, our attention on Σ-partial congruence modular and Σ-partial congruence distributive formulae.
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hal-04353395 , version 1 (19-12-2023)

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Dominique Bourn. Split epimorphisms as a productive tool in Universal Algebra. Algebra Universalis, 2021, 82 (1), ⟨10.1007/s00012-020-00688-0⟩. ⟨hal-04353395⟩
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