Geodesic
Module classifying functors
Czechoslovak Mathematical Journal, Tome 42 (1992) no. 4, pp. 741-756
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1992.128358
Classification : 16D70, 16D80, 16D90, 16S60, 16S90 
@article{10_21136_CMJ_1992_128358,
     author = {Dauns, John},
     title = {Module classifying functors},
     journal = {Czechoslovak Mathematical Journal},
     pages = {741--756},
     year = {1992},
     volume = {42},
     number = {4},
     doi = {10.21136/CMJ.1992.128358},
     mrnumber = {1182204},
     zbl = {0788.16008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128358/}
}
TY  - JOUR
AU  - Dauns, John
TI  - Module classifying functors
JO  - Czechoslovak Mathematical Journal
PY  - 1992
SP  - 741
EP  - 756
VL  - 42
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128358/
DO  - 10.21136/CMJ.1992.128358
LA  - en
ID  - 10_21136_CMJ_1992_128358
ER  - 
%0 Journal Article
%A Dauns, John
%T Module classifying functors
%J Czechoslovak Mathematical Journal
%D 1992
%P 741-756
%V 42
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128358/
%R 10.21136/CMJ.1992.128358
%G en
%F 10_21136_CMJ_1992_128358
Dauns, John. Module classifying functors. Czechoslovak Mathematical Journal, Tome 42 (1992) no. 4, pp. 741-756. doi: 10.21136/CMJ.1992.128358

[1] F. Anderson and K. Fuller: Rings and Categories of Modules. Springer-Verlag, Berlin-Heidelberg-New York, 1973. | MR

[2] B. Banaschewski: Hüllensysteme und Erweiterung von Quasi-ordnungen. Zeitschr. f. math. Logik und Grundlagen d. Math. 2 (1956), 117–130. | MR | Zbl

[3] J. Dauns: Uniform dimensions and subdirect products. Pac. J. Math. 126 (1985), 1–19. | DOI | MR

[4] J. Dauns: Subdirect products of injectives. Comm. Alg. 17 (1989), 179–196. | DOI | MR | Zbl

[5] J. Dauns: Torsion free modules. Annali di Matem. pura ed applicata CLIV (1989), 49–81. | MR | Zbl

[6] J. Dauns and L. Fuchs: Infinite Goldie dimensions. J. Alg. 115 (1988), 297–302. | DOI | MR

[7] L. Fuchs: Infinite Abelian Groups. Academic Press, New York, Vol. I (1970), Vol. II (1973). | Zbl

[8] G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove and D. S. Scott: A Compendium of Continuous Lattices. Springer-Verlag, Berlin-Heidelberg-New York, 1980. | MR

[9] M. Dugas and R. Göbel: Algebraisch kompakte Faktorgruppen. J. Reine Angwdt. Mth. 307/308 (1979), 341–352. | MR

[10] R. Göbel: The characteristic subgroups of the Baer-Specker group. Math. Zeitsch. 140 (1974), 289–292. | DOI | MR

[11] R. Göbel and B. Wald: Lösung eines Problems von L. Fuchs. J. Alg. 71 (1981), 219–231. | MR

[12] K. R. Goodearl: Ring Theory. Marcel Dekker, New York, 1976. | MR | Zbl

[13] K. R. Goodearl: Von Neumann Regular Rings. Pitman, London, 1979. | MR | Zbl

[14] K. R. Goodearl - A. K. Boyle: Dimension theory for nonsingular injective modules. Amer. Math. Soc. Memoir No. 177 Providence, R. I., 1976. | MR

[15] G. Grätzer: General Lattice Theory. Academic Press, New York, 1978. | MR

[16] P. Halmos: Lectures on Boolean Algebras. Math. Studies No. 1, D. Van Nostrand Co., Princeton, N. J., 1963. | MR | Zbl

[17] T. Jech: Set Theory. Academic Press, New York, 1978. | MR | Zbl

[18] S. MacLane: Categories for the Working Mathematician. Springer-Verlag, Berlin-Heidelberg-New York, 1971. | MR

[19] E. Matlis: Injective modules over noetherian rings. Pac. J. Math. 8 (1958), 511–528. | DOI | MR | Zbl

[20] R. S. Pierce: A note on complete Boolean algebras. Pro. Amer. Math. Soc. 9 (1958), 892–896. | DOI | MR

[21] R. Sikorski: Boolean Algebras, 2nd. ed. Springer-Verlag, Berlin-Heidelberg-New York, 1964.

[22] M. Teply: Torsion free injective modules. Pacific J. Math 31 (1969), 441–453. | DOI

[23] M. Teply: Some aspects of Goldies’ torsion theory. Pacific J. Math. 29 (1969), 447–459. | DOI | MR

Cité par Sources :