We investigate 3-permutability, in the sense of universal algebra, in an abstract categorical setting which unifies the pointed and the non-pointed contexts in categorical algebra. This leads to a unified treatment of regular subtractive categories and of regular Goursat categories, as well as of E-subtractive varieties (where E is the set of constants in a variety) recently introduced by the fourth author. As an application, we show that \ideals" coincide with \clots" in any regular subtractive category, which can be considered as a pointed analogue of a known result for regular Goursat categories.
|Titolo:||Symmetry of regular diamonds, the Goursat property, and subtractivity|
|Citazione:||Gran, M., Janelidze, Z., Rodelo, D., & Ursini, A. (2012). Symmetry of regular diamonds, the Goursat property, and subtractivity. THEORY AND APPLICATIONS OF CATEGORIES, 27(6), 80-96.|
|Appare nelle tipologie:||1.1 Articolo in rivista|