Modules commuting (via Hom) with some colimits

Czechoslovak Mathematical Journal

Volumn 53, Issue 4, 2003, Pages 891-905

  El Bashir, Robert ^a   Kepka, Tomáš ^a   Němec, Petr ^b  

^a CHARLES UNIVERSITY   (Czech Republic)

^b CZECH UNIVERSITY OF LIFE SCIENCES PRAGUE   (Czech Republic)

Author keywords

Colimit; Finitely presented module; Module

Indexed keywords

EID: 1342326479     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:CMAJ.0000024528.13249.45     Document Type: Article

References (25)

1. H. Bass: Algebraic K-Theory. W. A. Benjamin, New York, 1968.
2. R. Colpi and C. Menini: On the structure of *-modules. J. Algebra 158 (1993), 400-419.
3. R- Colpi and J. Trlifaj: Classes of generalized *-modules. Comm. Algebra 22 (1994), 3985-3995.
4. P. C. Eklof, K. R. Goodearl and J. Trlifaj: Dually slender modules and steady rings. Forum Math. 9 (1997), 61-74.
5. P. C. Eklof and A. H. Mekler. Almost Free Modules. North-Holland, New York, 1990.
6. R. El Bashir and T. Kepka: Modules commuting (via Horn) with some limits. Fund. Math. 155 (1998), 271-292.
7. P. Freyd: Abelian Categories. New York, 1964.
8. L. Fuchs and L. Salce: Modules over Valuation Domains. Marcel Dekker, New York, 1985.
9. A. Gollová: Sigma;-compact modules and steady rings. Ph.D. Thesis, Charles University, Prague, 1997.
10. R(M, -) in the category R - gr? Comm. Algebra 22 (1994), 3171-3181.
11. R(M, -). Rocky Mountain J. Math. 2 (1972), 235-237.
12. T. Kepka: ∩-compact modules. Comment. Math. Univ. Carolin. 36 (1995), 423-426.
13. H. Lenzing: Endlichpräsentierbare Moduln. Arch. Math. 20 (1969), 262-266.
14. C. Menini and A. Orsatti: Representable equivalences between categories of modules and applications. Rend. Sem. Mat. Univ. Padova 82 (1989), 203-231.
15. B. Mitchll: Theory of Categories. Academic Press, New York-London, 1965.
16. A. Orsatti and N. Rodinò: On the endomorphism ring of an infinite dimensional vector space. Proc. Conf. Abelian Groups and Modules (Padova 1994). Kluwer, Dordrecht, 1995, pp. 395-417.
17. R. Rentschler: Die Vertauschbarkeit des Hom-Funktors mit direkten Summen. Dissertation, Ludwig-Maximilian-Universität, München, 1967.
18. R. Rentschler. Sur les modules M tels que Hom(M, -) commute avec les sommes di-rectes. C. R. Acad. Sci. Paris 268 (1969), 930-932.
19. P. Růžička, J. Trlifaj and J. Zemlička: Criteria for steadiness. Proc. Conf. Abelian Groups, Module Theory and Topology (Padova 1997). Marcel Dekker, New York, 1998, pp. 359-371.
20. J. Trlifaj: Every *-module is finitely generated. J. Algebra 164 (1994), 392-398.
21. J. Trlifaj: Steady rings may contain large sets of orthogonal idempotents. Proc. Conf. Abelian Groups and Modules (Padova 1994). Kluwer, Dordrecht, 1995, pp. 467-473.
22. J. Trlifaj: Modules over non-perfect rings. Advances in Algebra and Model Theory. Gordon and Breach, Philadelphia, 1996, pp. 471-492.
23. R. Wisbauer. Grundlagen der Modul- und Ringtheorie. Verlag R. Fischer, München, 1988.
24. J. Žemlička, and J. Trlifaj: Steady ideals and rings. Rend. Sem. Mat. Univ. Padova 98 (1997).
25. J. Žemlička: Structure of steady rings. Ph.D. Thesis, Charles University, Prague, 1998.