Finitely presented modules over right non-singular rings. (Q2389041)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finitely presented modules over right non-singular rings. |
scientific article |
Statements
Finitely presented modules over right non-singular rings. (English)
0 references
22 July 2009
0 references
Summary: This paper characterizes the right non-singular rings \(R\) for which \(M/Z(M)\) is projective whenever \(M\) is a cyclically (finitely) presented module. Several related results investigate right semi-hereditary rings.
0 references
non-singular modules
0 references
right non-singular rings
0 references
maximal rings of quotients
0 references
pure-projective modules
0 references
Goldie dimension
0 references
direct summands
0 references
direct sums of finitely generated submodules
0 references
right hereditary rings
0 references
