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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

Binomial arithmetical rank of edge ideals of forests


Authors: Kyouko Kimura and Naoki Terai
Journal: Proc. Amer. Math. Soc. 141 (2013), 1925-1932
MSC (2010): Primary 13F55, 05C05
Published electronically: January 2, 2013
MathSciNet review: 3034419
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Abstract: We prove that the binomial arithmetical rank of the edge ideal of a forest coincides with its big height.


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Kyouko Kimura
Affiliation: Department of Mathematics, Faculty of Science, Shizuoka University, 836 Ohya, Suruga-ku, Shizuoka 422-8529, Japan
Email: skkimur@ipc.shizuoka.ac.jp

Naoki Terai
Affiliation: Department of Mathematics, Faculty of Culture and Education, Saga University, Saga 840-8502, Japan
Email: terai@cc.saga-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11473-5
Keywords: Binomial arithmetical rank, primitive tree, tree-like system, edge ideal
Received by editor(s): June 27, 2011
Received by editor(s) in revised form: September 26, 2011
Published electronically: January 2, 2013
Communicated by: Irena Peeva
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.