|
|||||
|
|
|
|
|
|
|
|
|
The singular submodule
of a finitely generated module splits off
John Fuelberth and Mark Lawrence Teply |
|
Vol. 40 (1972), No. 1, 73–82
|
Abstract |
|
A characterization is given of the finitely generated nonsingular left R-modules N such that ExtR1(N,M) = 0 for every singular left R-module M. As a corollary, the rings R, over which the singular submodule Z(A) is a direct summand of every finitely generated left R-module A, are characterized. This characterization takes on a simplified form whenever R is commutative. An example is given to show that a ring R, over which the singular submodule Z(A) is a direct summand of every left R-module A, need not be right semi-hereditary. |
Mathematical Subject Classification
Primary: 16A64
|
Milestones
Received: 9 December 1970
Revised: 22 March 1971
Published: 1 January 1972
|
Authors |
| John Fuelberth | |
| Mark Lawrence Teply | |
|
