Previous |  Up |  Next

Article

Title: Almost-flat modules (English)
Author: Breaz, Simion
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 53
Issue: 2
Year: 2003
Pages: 479-489
Summary lang: English
.
Category: math
.
Summary: We present general properties for almost-flat modules and we prove that a self-small right module is almost flat as a left module over its endomorphism ring if and only if the class of $g$-static modules is closed under the kernels. (English)
Keyword: almost-flat module
Keyword: self-small module
Keyword: endomorphism ring
MSC: 16D40
MSC: 16E30
MSC: 20K40
idZBL: Zbl 1027.16001
idMR: MR1983467
.
Date available: 2009-09-24T11:03:32Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/127815
.
Reference: [1] U. Albrecht: Endomorphism rings of faithfully flat abelian groups.Res. Math. 17 (1990), 179–201. Zbl 0709.20031, MR 1052585, 10.1007/BF03322457
Reference: [2] U. Albrecht: Endomophism rings, tensor product and Fuchs problem 47.Contemp. Math. 130 (1992), 17–31. MR 1176107, 10.1090/conm/130/1176107
Reference: [3] U. Albrecht and P.  Goeters: Almost flat abelian groups.Rocky Mountain J. Math. 25 (1993), 827–842. MR 1357094
Reference: [4] D. M. Arnold and C. E. Murley: Abelian groups  $A$, such that $\mathop {\mathrm Hom}(A,-)$ preserves direct sums of copies of  $A$.Pacific J.  Math. 56 (1975), 7–20. MR 0376901
Reference: [5] H. Cartan and S.  Eilenberg: Homological Algebra.Oxford University Press, Oxford, 1956. MR 0077480
Reference: [6] F. Richman and E. A.  Walker: Cyclic Ext.Rocky Mountain J. Math. 11 (1981), 611–615. MR 0639446, 10.1216/RMJ-1981-11-4-611
Reference: [7] B. Stenstrom: Ring of Quotients. An Introduction to Methods of Ring Theory.Springer-Verlag, Berlin-Heidelberg-New York, 1975. MR 0389953
Reference: [8] C. Visonhaler and W.  Wickless: Homological dimensions of completely decomposable groups.Lecture Notes in Pure and Appl. Math. 146 (1993), 247–258. MR 1217276
Reference: [9] R.  Wisbauer: Foundations of Module and Ring Theory.Gordon and Breach, Philadelphia, 1986. MR 1144522
Reference: [10] R. Wisbauer: Static modules and equivalences.(1998), Preprint. MR 1761573
.

Files

Files Size Format View
CzechMathJ_53-2003-2_21.pdf 359.0Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo