Closedness properties of internal relations, VI : approximate operations
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) no. 4, article no. 3, 22 p. 
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     author = {Janelidze, Zurab},
     title = {Closedness properties of internal relations, {VI} : approximate operations},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     eid = {3},
     pages = {298--319},
     publisher = {Andr\'ee CHARLES EHRESMANN},
     volume = {50},
     number = {4},
     year = {2009},
     mrnumber = {2589620},
     zbl = {1188.18002},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_2009__50_4_298_0/}
}
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Janelidze, Zurab. Closedness properties of internal relations, VI : approximate operations. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) no. 4, article  no. 3, 22 p. http://www.numdam.org/item/CTGDC_2009__50_4_298_0/

[1] M. Barr, P. A. Grillet, and D. H. Van Osdol, Exact categories and categories of sheaves, Springer Lecture Notes in Mathematics 236, 1971. | Zbl

[2] D. Bourn, Mal'cev categories and fibration of pointed objects, Applied Categorical Structures 4, 1996, 307-327. | MR | Zbl

[3] D. Bourn and Z. Janelidze, Approximate Mal'tsev operations, Theory and Applications of Categories 21 (The Tholen Festschrift), 2008,152- 171. | EuDML | MR | Zbl

[4] D. Bourn and Z. Janelidze, Subtractive categories and extended subtractions, Applied Categorical Structures 17, No. 4, 2009, 317-343. | MR | Zbl

[5] D. Bourn and Z. Janelidze, Pointed protomodularity via natural imaginary subtractions, Journal of Pure and Applied Algebra 213, 2009, 1835-1851. | MR | Zbl

[6] A. Carboni, M. C. Pedicchio, and N. Pirovano, Internal graphs and internal groupoids in Mal'tsev categories, Canadian Mathematical Society Conference Proceedings 13, 1992, 97-109. | Zbl

[7] E. Faro and G. M. Kelly, On the canonical algebraic structure of a category, Journal of Pure and Applied Algebra 154, 2000, 159-176. | MR | Zbl

[8] Z. Janelidze, Subtractive categories, Applied Categorical Structures 13, No. 4, 2005, 343-350. | MR | Zbl

[9] Z. Janelidze, 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. | EuDML | MR | Zbl

[10] Z. Janelidze, Closedness properties of internal relations V : Linear Mal' tsev conditions, Algebra Universalis 58, 2008, 105-117. | MR | Zbl

[11] Z. Janelidze and A. Ursini, Split short five lemma for clots and subtractive categories, Applied Categorical Structures (Online First), 2009, doi: 10.1007/s 10485-009-9192-5. | MR | Zbl

[12] F. W. Lawvere, 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 | Zbl

[13] F. E. J. Linton, Autonomous equational categories, Journal of Mathematics and Mechanics 15, 1966, 637-642. | MR | Zbl