拟阵的同余理论与Birkhoff定理

Mathematica Pannonica Pub Date : 2021-10-28 DOI:10.1556/314.2021.00015

S. Veldsman

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引用次数: 0

摘要

对一个矩阵定义了同余。这导致了拟阵代数同构定理的合适版本。作为同余理论在拟阵上的一个应用，给出了拟阵的Birkhoff定理的一个版本，证明了每一个非平凡拟阵都是次直接不可约拟阵的子直积。

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A Theory of Congruences and Birkhoff’s Theorem for Matroids

A congruence is defined for a matroid. This leads to suitable versions of the algebraic isomorphism theorems for matroids. As an application of the congruence theory for matroids, a version of Birkhoff’s Theorem for matroids is given which shows that every nontrivial matroid is a subdirect product of subdirectly irreducible matroids.

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Mathematica Pannonica

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