Localizations of algebraic categories II

Journal of Pure and Applied Algebra

Volumn 133, Issue 3, 1998, Pages 317-326

  Vitale, Enrico M ^a,b  

^a Maison de la Recherche Blaise Pascal   (France)

^b Departement de Mathématiques   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032583376     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(97)00122-9     Document Type: Article

References (15)

1. [1] M. Barr, Exact categories, Lecture Notes in Mathematics, vol. 236, Springer, Berlin, 1971, pp. 1-120.
2. [2] F. Borceux, Handbook of Categorical Algebra 2, Encyclopedia of Mathematics, vol. 51, Cambridge University Press, Cambridge, 1994.
3. [3] A. Carboni, R. Celia Magno, The free exact category on a left exact one, J. Austral. Math. Soc. Ser. A 33 (1982) 295-301.
4. [4] A. Carboni, E.M. Vitale, Regular and exact completions, J. Pure Appl. Algebra, 125 (1998) 79-116.
5. [5] B. Day, Note on monoidal localizations, Bull. Austral. Math. Soc. 8 (1973) 1-16.
6. [6] A. Grothendieck, Sur quelques points d'algèbre homologique, Tohoku Math. J. 9 (1957) 119-221.
7. [7] H. Hu, W. Tholen, A note on free regular and exact completions, and their infinitary generalizations, Theory appl. Categories 2 (1996) 113-132.
8. [8] F.W. Lawvere, Functorial semantics of algebraic theories, Proc. Nat. Acad. Sci. 50 (1963) 869-872.
9. [9] F.W. Lawvere, Category theory over a base topos, University of Perugia, 1973.
10. [10] F. Linton, Some aspects of equational categories, Proc. Conf. Categor. Algebra, La Jolla, 1965, Springer, Berlin, 1966.
11. [11] N. Popescu, P. Gabriel, Caractérisation des catégories abéliennes avec générateurs et limites inductives exactes, Comp. Rend. Acad. Sc. Paris 258 (1964) 4188-4190.
12. [12] B. Stenstrom, Rings of Quotients, Die Grundlehren der Math. vol. 217, Springer, Berlin. 1975.
13. [13] E.M. Vitale, On the characterization of monadic categories over Set, Cahiers de Topologie et G.D. XXXV-4 (1994) 351-358.
14. [14] E.M. Vitale, Localizations of algebraic categories, J. Pure Appl. Algebra 108 (1996) 315-320.
15. [15] G.C. Wraith, Algebraic theories, Lecture Notes Series, vol. 22, Matematisk Institut, Aarhus Universitet, 1970.