M-Canonical ideals in integral domains |
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| Authors: | William J Heinzer James A Huckaba Ira J Papick |
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| Institution: | 1. Department of Mathematics , Purdue University , West Lafayette, 47907, Indiana E-mail: heinzer@math.purdue.edu;2. Department of Mathematics , University of Missouri-Columbia , Missouri, Columbia, 65211 E-mail: mathjah, mathip@showme.missouri.edu |
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| Abstract: | We prove that a Priifer domain R has an m-canonical ideal J, that is, an ideal I such that J: (I: J) = J for every ideal J of R, if and only if R is h-local with only finitely many maximal ideals that are not finitely generated; moreover, if these conditions are satisfied, then the product of the non-finitely generated maximal ideals is an m-canonical ideal of R |
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| Keywords: | Divisorial Ideal Prüfer Domain I-local Domain M-Canonical Ideal |
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