装备偏序集的一些微分算法的范畴性质

IF 0.3 Q4 MATHEMATICS, APPLIED Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI:10.12958/adm1647

Isaías David Marín Gaviria, A. M. Cañadas

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引用次数: 1

摘要

本文证明了由A.G. Zavadskij引入的对正则表示型装备偏序集进行分类的微分算法VIII-X在一些商范畴之间推导出了范畴等价，特别是引入了算法Az来构造具有一对适合于微分VII的点(a, b)的装备偏序集，使得与弱点相关的强点子集不为空。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Categorical properties of some algorithms of differentiation for equipped posets

In this paper it is proved that the algorithms of differentiation VIII-X (introduced by A.G. Zavadskij to classify equipped posets of tame representation type) induce categorical equivalences between some quotient categories, in particular, analgorithm Az is introduced to build equipped posets with a pair ofpoints (a, b) suitable for differentiation VII such that the subset of strong points related with the weak pointais not empty.

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