|
|||||
|
|
|
|
|
|
|
|
|
Ideals of the principal
class, R-sequences and a certain
monoidal transformation
Edward Dewey Davis |
|
Vol. 20 (1967), No. 2, 197–205
|
Abstract |
|
We consider the algebra generated over the ring R by the quotients {x1∕x,⋯,xn∕x}. This “monoidal transform” R[x1∕x,⋯,xn∕x] may be regarded as the homomorphic image of the polynomial ring R[Xi,⋯,Xn]. Examination of the kernel of this homomorphism gives in one instance the theorem of analytic independence of systems of parameters and in another the analogous theorem about R-sequences in arbitrary commutative rings. We combine these results with some older work of ours (included in an appendix) to give several characterizations of ideals in Noetherian rings generated by R-sequences. |
Mathematical Subject Classification
Primary: 13.20
Secondary: 13.93
|
Milestones
Received: 20 January 1966
Published: 1 February 1967
|
Authors |
| Edward Dewey Davis | |
|
