| Title:
|
A note on coflat abelian groups (English) |
| Author:
|
Albrecht, U. |
| Author:
|
Faticoni, T. |
| Author:
|
Goeters, H. P. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
431-442 |
| . |
| Category:
|
math |
| . |
| MSC:
|
16S50 |
| MSC:
|
20K15 |
| MSC:
|
20K20 |
| MSC:
|
20K30 |
| MSC:
|
20K40 |
| idZBL:
|
Zbl 0831.20071 |
| idMR:
|
MR1288163 |
| DOI:
|
10.21136/CMJ.1994.128482 |
| . |
| Date available:
|
2009-09-24T09:40:22Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128482 |
| . |
| Reference:
|
[A1] U. Albrecht: Endomorphism rings and $A$-projective torsion-free abelian groups.Abelian group theory proceedings, LNM 1006, Springer-Verlag, 1982–3. MR 0722620 |
| Reference:
|
[A] D. M. Arnold: Finite rank torsion free abelian groups and rings, LNM 931.Springer-Verlag, 1982. MR 0665251 |
| Reference:
|
[AP] D. M. Arnold, R. S. Pierce, J.D. Reid, C. Vinsonhaler, W. Wickless: Torsion-free abelian groups of finite rank projective as modules over their endomorphism rings.Journal of Algebra 71(1) (1981), 1–10. MR 0627421, 10.1016/0021-8693(81)90102-2 |
| Reference:
|
[G] K. R. Goodearl: Ring theory: Nonsingular rings and modules.Marcel Dekker, Inc., New York and Basel, 1976. Zbl 0336.16001, MR 0429962 |
| Reference:
|
[Go] H. P. Goeters: Flatness and the ring of quasi-endomorphism.submitted. |
| Reference:
|
[R] J. D. Reid: On quasi-decompositions of torsion-free abelian groups.Proc. Amer. Math. Soc. 13 (1962), 550–554. Zbl 0113.25401, MR 0137760 |
| Reference:
|
[Rn] J. Rotman: An introduction to homological algebra.Academic Press, 1979. Zbl 0441.18018, MR 0538169 |
| Reference:
|
[RW] F. Richman, E. Walker: Cotorsion free, an example of relative injectivity.Math. Z. 102 (1967), 115–117. MR 0218453, 10.1007/BF01112078 |
| Reference:
|
[U] F. Ulmer: A flatness criterion in Grothendieck categories.Inv. Math. 19 (1973), 331–336. MR 0335601, 10.1007/BF01425418 |
| Reference:
|
[V] C. Vinsonhaler: The divisible and $E$-injective hulls of a torsion-free group.Abelian groups and modules. Proceedings of the Udine conference, CISM No. 287, Springer-Verlag, 1984. Zbl 0559.20038, MR 0789815 |
| Reference:
|
[VW] C. Vinsonhaler, W. Wickless: Injective hulls of torsion-free abelian groups as modules over their endomorphism rings.Mateřídouška 58(1) (1979), 64–69. MR 0535843 |
| . |
