Sections of zero dimensional ideals over a Noetherian ring |
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| Authors: | Shiv Datt Kumar |
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| Institution: | (1) Mathematics Department, Motilal Nehru National Institute of Technology (Deemed University), Allahabad, U.P., Pin- 211004, India |
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| Abstract: | Let A be a commutative Noetherian ring and
![$$I \subset AT]$$](/content/p12623544n422652/13_2007_Article_1935_TeX2GIFIEq1.gif)
be an ideal containing a monic polynomial such that AT]/I is zero dimensional. Suppose the conormal module I/I
2 is generated by r elements over AT]/I. Then a set of r generators of
can be lifted to a r generating set of I.
A part of this work is done at the Abdus Salam, International Centre for Theoretical Physics, Trieste, Italy.
Received: 12 March 2006 Revised: 29 January 2007 |
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| Keywords: | 13E05 13f20 13E15 13C10 |
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