| Title:
|
Non-perfect rings and a theorem of Eklof and Shelah (English) |
| Author:
|
Trlifaj, Jan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
27-32 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove a stronger form, $A^+$, of a consistency result, $A$, due to Eklof and Shelah. $A^+$ concerns extension properties of modules over non-left perfect rings. We also show (in ZFC) that $A$ does not hold for left perfect rings. (English) |
| Keyword:
|
perfect ring |
| Keyword:
|
Ext |
| Keyword:
|
uniformization |
| MSC:
|
03E55 |
| MSC:
|
16A50 |
| MSC:
|
16A51 |
| MSC:
|
16D40 |
| MSC:
|
16L30 |
| idZBL:
|
Zbl 0742.16001 |
| idMR:
|
MR1118286 |
| . |
| Date available:
|
2008-10-09T13:10:48Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116939 |
| . |
| Reference:
|
[1] Anderson F.W., Fuller K.R.: Rings and Categories of Modules.Springer, New York 1974. Zbl 0765.16001, MR 0417223 |
| Reference:
|
[2] Eklof P.C.: Set Theoretic Methods in Homological Algebra and Abelian Groups.Montreal Univ. Press, Montreal 1980. Zbl 0669.03022, MR 0565449 |
| Reference:
|
[3] Eklof P.C., Shelah S.: On Whitehead modules.preprint 1990. Zbl 0743.16004, MR 1127077 |
| Reference:
|
[4] Shelah S.: Diamonds, uniformization.J. Symbolic Logic 49 (1984), 1022-1033. Zbl 0598.03044, MR 0771774 |
| Reference:
|
[5] Trlifaj J.: Von Neumann regular rings and the Whitehead property of modules.Comment. Math. Univ. Carolinae 31 (1990), 621-625. Zbl 0728.16005, MR 1091359 |
| Reference:
|
[6] Trlifaj J.: Associative Rings and the Whitehead Property of Modules.R. Fischer, Munich 1990. Zbl 0697.16024, MR 1053965 |
| . |
