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Communications in Algebra Volume 43, 2015 - Issue 7
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Original Articles

The Bhattacharya Function of Complete Monomial Ideals in Two Variables

Hong Ngoc Binh Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, VietnamCorrespondence[email protected]
&
Ngo Viet Trung Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam
Pages 2875-2886 | Received 08 Aug 2013, Published online: 04 Jun 2015
 
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Abstract

We give explicit formulas for the Bhattacharya function of 𝔪-primary complete monomial ideals in two variables in terms of the vertices of the Newton polyhedra or in terms of the decompositions of the ideals as products of simple ideals.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENT

The authors would like to thank the referee for his suggestions which have helped to improve the presentation of the paper.

Notes

Communicated by G. Leuschke.

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