Exact completion and representations in Abelian categories

Homology, Homotopy and Applications

Volumn 3, Issue 3, 2001, Pages 453-466

  Rosicky, J ^a   Vitale, E M ^b  

^a MASARYK UNIVERSITY   (Czech Republic)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Abelian categories; Completions; Frobenius categories; Mal'cev categories

Indexed keywords

EID: 0000405954     PISSN: 15120139     EISSN: 15120139     Source Type: Journal    
DOI: None     Document Type: Review

References (14)

1. M. Barr. Exact Categories, Springer LNM 236 (1971) 1-120.
2. F. Borceux. Handbook of Categorical Algebra, Cambridge University Press (1994).
3. M. Bunge, A. Carboni. The symmetric topos, J. Pure Appl. Algebra 105 (1995) 233-249.
4. A. Carboni, G.M. Kelly, M.C. Pedicchio. Some remarks on Mal'cev and Goursat categories, Appl. Categ. Structures 1 (1993) 385-421.
5. A. Carboni, J. Lambek, M.C. Pedicchio. Diagram chasing in Mal'cev categories, J. Pure Appl. Algebra 69 (1990) 271-284.
6. A. Carboni, E.M. Vitale. Regular and exact completions, J. Pure Appl. Algebra 125 (1998) 79-116.
7. P. Freyd. Representations in Abelian categories, Proc. Conf. Categor. Algebra La Jolla 1965 (1966) 95-120.
8. P. Freyd. Stable homotopy, Proc. Conf. Categor. Algebra La Jolla 1965 (1966) 121-172.
9. M. Grandis. Weak subobjects and the epi-monic completion of a category, J. Pure Appl. Algebra 154 (2000) 193-212.
10. S. Lack, E.M. Vitale. When do completion processes give rise to extensive categories ? J. Pure Appl. Algebra 159 (2001) 203-230.
11. A. Neeman. Triangulated categories, Princeton University Press (2001).
12. M.C. Pedicchio, J. Rosický. Comparing coequalizer and exact completions. Theory and Applications of Categories 6 (1999) 77-82.
13. A. Pitts. The lex reflection of a category with finite products, unpublished notes (1996).
14. C.A. Weibel. An introduction to homological algebra, Cambridge University Press (1994).