Non-perfect rings and a theorem of Eklof and Shelah
Commentationes Mathematicae Universitatis Carolinae (1991)
- Volume: 32, Issue: 1, page 27-32
- ISSN: 0010-2628
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topTrlifaj, Jan. "Non-perfect rings and a theorem of Eklof and Shelah." Commentationes Mathematicae Universitatis Carolinae 32.1 (1991): 27-32. <http://eudml.org/doc/247272>.
@article{Trlifaj1991,
abstract = {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.},
author = {Trlifaj, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {perfect ring; Ext; uniformization; -free module; projective module; consistency; extension properties; Whitehead property; ZFC; left perfect rings},
language = {eng},
number = {1},
pages = {27-32},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Non-perfect rings and a theorem of Eklof and Shelah},
url = {http://eudml.org/doc/247272},
volume = {32},
year = {1991},
}
TY - JOUR
AU - Trlifaj, Jan
TI - Non-perfect rings and a theorem of Eklof and Shelah
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 1
SP - 27
EP - 32
AB - 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.
LA - eng
KW - perfect ring; Ext; uniformization; -free module; projective module; consistency; extension properties; Whitehead property; ZFC; left perfect rings
UR - http://eudml.org/doc/247272
ER -
References
top- Anderson F.W., Fuller K.R., Rings and Categories of Modules, Springer, New York 1974. Zbl0765.16001MR0417223
- Eklof P.C., Set Theoretic Methods in Homological Algebra and Abelian Groups, Montreal Univ. Press, Montreal 1980. Zbl0669.03022MR0565449
- Eklof P.C., Shelah S., On Whitehead modules, preprint 1990. Zbl0743.16004MR1127077
- Shelah S., Diamonds, uniformization, J. Symbolic Logic 49 (1984), 1022-1033. (1984) Zbl0598.03044MR0771774
- Trlifaj J., Von Neumann regular rings and the Whitehead property of modules, Comment. Math. Univ. Carolinae 31 (1990), 621-625. (1990) Zbl0728.16005MR1091359
- Trlifaj J., Associative Rings and the Whitehead Property of Modules, R. Fischer, Munich 1990. Zbl0697.16024MR1053965
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