Cotilting and a hierarchy of almost cotorsion groups

Journal of Algebra

Volumn 224, Issue 1, 2000, Pages 110-122

  Göbel, Rüdiger ^a   Trlifaj, Jan ^b  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

^b CHARLES UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034134946     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1999.8103     Document Type: Article

References (23)

1. Anderson F. W., Fuller K. R. Rings and Categories of Modules. 1992;Springer, New York.
2. Assem I. Tilting theory - an introduction. Topics Algebra. 26:1990;127-180.
3. Bongartz K. Tilted algebras. Proceedings of the ICRA III, Puebla 1980. Lecture Notes in Mathematics. 903:1981;Springer, Berlin. p. 26-38.
4. Brenner S., Butler M. Generalizations of the Bernstein-Gelfand-Ponomarev reflexion functors. Proceedings of the ICRA II, Ottawa 1979. Lecture Notes in Mathematics. 832:1979;Springer, Berlin. p. 103-169.
5. Colby R. R., Fuller K. R. Tilting, cotilting and serially tilted rings. Comm. Algebra. 18:1990;1589-1615.
6. R. Colpi, Cotilting bimodules and their dualities, in, Proceedings of the Euroconf. Murcia '98, to appear.
7. Colpi R., D'Este G., Tonolo A. Quasi-tilting modules and counter equivalences. J. Algebra. 191:1997;461-494.
8. Colpi R., Tonolo A., Trlifaj J. Partial cotilting modules and the lattices induced by them. Comm. Algebra. 25:1997;3225-3237.
9. Colpi R., Trlifaj J. Tilting modules and tilting torsion theories. J. Algebra. 178:1995;614-634.
10. Corner A. L. S., Göbel R. Prescribing endomorphism algebras, a unified treatment. Proc. London. Math. Soc. 50:1985;447-479.
11. Eklof P. C., Mekler A. H. Almost Free Modules. 1990;North-Holland, New York.
12. P. C. Eklof, and, J. Trlifaj, How to make Ext vanish, preprint.
13. Franzen B., Göbel R. Prescribing endomorphism algebras. Rend. Sem. Mat. Univ. Padova. 80:1988;215-241.
14. L. Fuchs, Infinite Abelian Groups, Vols, 1, and, 2, Academic, New York, 1970, and, 1973.
15. R. Göbel, and, S. Shelah, Cotorsion theories and splitters, Trans. Amer. Math. Soc, to appear.
16. Göbel R., Shelah S. Almost free splitters. Colloq. Math. 81:1999;193-221.
17. Happel D. Selforthogonal modules. Abelian groups and Modules. 1995;Kluwer, Dordrecht. p. 257-276.
18. Happel D., Ringel C. M. Tilted algebras. Trans. Amer. Math. Soc. 274:1982;399-443.
19. Hunter R. H. Balanced subgroups of abelian groups. Trans. Amer. Math. Soc. 215:1976;81-98.
20. Miyashita Y. Tilting modules of finite projective dimension. Math. Z. 193:1986;113-146.
21. Salce L. Cotorsion theories for abelian groups. Symposia Math. 23:1979;11-32.
22. P. Schultz, Self-splitting groups, Univ. Western Australia, Perth, 1980, preprint.
23. Shelah S. Existence of rigid-like families of abelian p-groups. Model Theory and Algebra. Lecture Notes in Mathematics. 498:1975;Springer, Berlin. p. 384-402.