平面分布格相关Hibi环的第一次合性

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2022-01-18 DOI:10.1007/s40306-021-00463-w

Priya Das, Himadri Mukherjee

引用次数: 3

摘要

在本文中，我们用子格的形式给出了平面分配格的Hibi环的第一合的显式极小生成元。我们还给出了当它是线性相关时的一个特征，并导出了平面分配格的第一个Betti数的精确公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

The First Syzygy of Hibi Rings Associated with Planar Distributive Lattices

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The First Syzygy of Hibi Rings Associated with Planar Distributive Lattices

In this article, we give explicit minimal generators of the first syzygy of the Hibi ring for a planar distributive lattice in terms of sublattices. We also give a characterization when it is linearly related and derive an exact formula for the first Betti number of a planar distributive lattice.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.