On Canonical Ideals of One-Dimensional Local Analytically Irreducible Rings |
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| Authors: | Ioana Cristina Şerban |
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| Affiliation: | 1. Department of Mathematics , University of Rome “La Sapienza” , Rome, Italy serban@mat.uniroma1.it;4. ioanase@yahoo.com |
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| Abstract: | A characterization is given for certain canonical ideals of local one-dimensional commutative rings with identity under the assumption of analytical irreducibility. This extends both a known result characterizing the case when the ring itself is a canonical ideal (i.e., it is a Gorenstein ring), and another one which is a general characterization of canonical ideals but under the further assumption of residual rationality. |
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| Keywords: | Canonical ideal |
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