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Normal categories are pointed categorical counterparts of 0-regular varieties, i.e., varieties where each congruence is uniquely determined by the equivalence class of a fixed constant 0. In this paper, we… Click to show full abstract
Normal categories are pointed categorical counterparts of 0-regular varieties, i.e., varieties where each congruence is uniquely determined by the equivalence class of a fixed constant 0. In this paper, we give a new axiomatic approach to normal categories, which uses self-dual axioms on a functor defined using subobjects of objects in the category. We also show that a similar approach can be developed for 0-regular varieties, if we replace subobjects with subsets of algebras containing 0.
Keywords:
normal categories;
non abelian;
duality non;
abelian algebra;
regular varieties
Journal Title: Algebra universalis
Year Published: 2017
Link to full text (if available)
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Journal Title: Algebra universalis
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!