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On a connection
between local rings and their associated graded algebras
Justin Hoffmeier and Jiyoon Lee
Vol. 11 (2018), No. 2, 355–359
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Abstract |
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We study a class of local rings and a local adaptation of the homogeneous property for graded rings. While the rings of interest satisfy the property in the local case, we show that their associated graded -algebras do not satisfy the property in the graded case. |
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Keywords
associated graded, graded algebra
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Mathematical Subject Classification 2010
Primary: 13A02
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Milestones
Received: 19 May 2017
Revised: 5 July 2017
Accepted: 17 July 2017
Published: 17 September 2017
Communicated by Vadim Ponomarenko
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Authors |
| Justin Hoffmeier | |
| Department of Mathematics and
Statistics Northwest Missouri State University Maryville, MO United States |
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| Jiyoon Lee | |
| Missouri Academy of Science,
Mathematics and Computing Maryville, MO United States |
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