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A Characterization of Cancellation Ideals |
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| Authors: | D. D. Anderson Moshe Roitman |
| Affiliation: | Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242 ; Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, Israel |
| Abstract: | An ideal  of a commutative ring  with identity is called a cancellation ideal if whenever  for ideals  and  of  , then  . We show that an ideal  is a cancellation ideal if and only if  is locally a regular principal ideal. |
| Keywords: | Cancellation ideal |
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