Partial algebras and embedding theorems for (weakly) Mal'tsev categories and matrix conditions
(2019) Cahiers de Topologie et Geometrie Differentielle — Vol. 60, n° 4, p. 365-403 (2019)
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- Authors
Jacqmin, Pierre-Alain 
- Abstract
- We prove that the category of sets equipped with a partial Mal’tsev operation is a weakly Mal’tsev category. Moreover, for each small finitely complete weakly Mal’tsev category, the Yoneda embedding fully embeds it into a power of this category of partial Mal’tsev algebras. We actually prove these results using the language of ‘matrix conditions’ from Z. Janelidze, getting in this way embedding theorems for weakly Mal’tsev, Mal’tsev, weakly unital, unital, strongly unital and subtractive categories.
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Citations
Jacqmin, P.-A. (2019). Partial algebras and embedding theorems for (weakly) Mal’tsev categories and matrix conditions. Cahiers de Topologie et Geometrie Differentielle, 60(4), 365-403. https://hdl.handle.net/2078.5/122299 (Original work published 2019)