@article{CTGDC_2009__50_4_298_0,
author = {Janelidze, Zurab},
title = {Closedness properties of internal relations, VI : approximate operations},
journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
volume = {50},
year = {2009},
pages = {298-319},
mrnumber = {2589620},
zbl = {1188.18002},
language = {en},
url = {http://dml.mathdoc.fr/item/CTGDC_2009__50_4_298_0}
}
Janelidze, Zurab. Closedness properties of internal relations, VI : approximate operations. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) pp. 298-319. http://gdmltest.u-ga.fr/item/CTGDC_2009__50_4_298_0/
[1] , , and , Exact categories and categories of sheaves, Springer Lecture Notes in Mathematics 236, 1971. | Zbl 0223.18009
[2] , Mal'cev categories and fibration of pointed objects, Applied Categorical Structures 4, 1996, 307-327. | MR 1406105 | Zbl 0856.18004
[3] and , Approximate Mal'tsev operations, Theory and Applications of Categories 21 (The Tholen Festschrift), 2008,152- 171. | MR 2476849 | Zbl 1172.18001
[4] and , Subtractive categories and extended subtractions, Applied Categorical Structures 17, No. 4, 2009, 317-343. | MR 2520085 | Zbl 1176.18005
[5] and , Pointed protomodularity via natural imaginary subtractions, Journal of Pure and Applied Algebra 213, 2009, 1835-1851. | MR 2518182 | Zbl 1167.18002
[6] , , and , Internal graphs and internal groupoids in Mal'tsev categories, Canadian Mathematical Society Conference Proceedings 13, 1992, 97-109. | Zbl 0791.18005
[7] and , On the canonical algebraic structure of a category, Journal of Pure and Applied Algebra 154, 2000, 159-176. | MR 1787595 | Zbl 0965.18005
[8] , Subtractive categories, Applied Categorical Structures 13, No. 4, 2005, 343-350. | MR 2175955 | Zbl 1095.18002
[9] , Closedness properties of internal relations I : A unified approach to Mal' tsev, unital and subtractive categories, Theory and Applications of Categories 16, 2006, 236-261. | MR 2223037 | Zbl 1104.18002
[10] , Closedness properties of internal relations V : Linear Mal' tsev conditions, Algebra Universalis 58, 2008, 105-117. | MR 2375284 | Zbl 1133.08002
[11] and , Split short five lemma for clots and subtractive categories, Applied Categorical Structures (Online First), 2009, doi: 10.1007/s 10485-009-9192-5. | MR 2772606 | Zbl 1217.18008
[12] , Functorial semantics of algebraic theories, Ph.D. Thesis, Columbia University, 1963 (see also: F. W. Lawvere, Functorial semantics of algebraic theories, Reprints in Theory and Applications of Categories, No. 5, 2004, 1-121). | MR 2118935 | Zbl 1062.18004
[13] , Autonomous equational categories, Journal of Mathematics and Mechanics 15, 1966, 637-642. | MR 190205 | Zbl 0146.25104