Explicit Expressions of Smith's Determinant on a Poset

Explicit Expressions of Smith's Determinant on a Poset

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摘要 We introduce the meet-function and join-function on a subset of a poset and use them to give some explicit expressions of Smith’s determinant. We introduce the meet-function and join-function on a subset of a poset and use them to give some explicit expressions of Smith’s determinant.

作者 Bo Ying WANG

机构地区 Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2001年第1期161-168,共8页 数学学报（英文版）

基金 Project supported by the National Natural Science Foundation of China.

关键词 POSET Meet-semilattice Join-semilattice Meet-function Join-function Smith’s determinant Poset Meet-semilattice Join-semilattice Meet-function Join-function Smith’s determinant

分类号 O151.22 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2001年第1期

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Explicit Expressions of Smith's Determinant on a Poset

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