一些边加权图的Cohen-macaulayness

Journal of Science Natural Science Pub Date : 2022-10-01 DOI:10.18173/2354-1059.2022-0037

Diem Ly Thi Kieu, Nguyen Nguyen Phung

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摘要

本文将研究一些边加权图的Cohen-Macaulayness性质。对于环和树边权图，我们将引用C.Paulsen和Wagstaff(2013)[1]对边权环和边权树的Cohen-Macaulayness的表征进行修正。我们的证明使用了单项理想bb0的Cohen-Macaulayness的Hochster判据。

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COHEN-MACAULAYNESS OF SOME EDGE-WEIGHTED GRAPHS

In this paper, we will study the characterization of Cohen-Macaulayness of some edge-weighted graphs. For cycle and tree edge-weighted graph, we will reprove the characterization of Cohen-Macaulayness of an edge-weighted cycle and an edge-weighted tree due to C.Paulsen and Wagstaff (2013) [1]. Our proof used a criterion of Hochster for Cohen-Macaulayness of a monomial ideal [2].

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Journal of Science Natural Science

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