ON RELATIVE FLATNESS
作者:
Dereck Gray,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1994)
卷期:
Volume 17,
issue 3
页码: 381-402
ISSN:1607-3606
年代: 1994
DOI:10.1080/16073606.1994.9631771
出版商: Taylor & Francis Group
关键词: 13C11;13D30
数据来源: Taylor
摘要:
For a torsion radical, δ, we study various types of relative flatness and regularity. We obtain conditions valid when every R-module is δ-flat, when every R-module is semi-δ-flat and when every R-module is semi-δ-injective, and hence we characterize quasi-Frobenius rings R together with any torsion radical, δ, on R-mod. We define a ring to be δ perfect whenever every δ-flat module is projective and obtain extensions of some known results on perfect rings. We also introduce a relative form of the Jacobson Radical defined in terms of δ-flatness.
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