Categorical properties of the algorithm of differentiation D-VIII for equipped posets. (Q2858095)
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scientific article; zbMATH DE number 6229338
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Categorical properties of the algorithm of differentiation D-VIII for equipped posets. |
scientific article; zbMATH DE number 6229338 |
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19 November 2013
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equipped posets
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matrix problems
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Gabriel quivers
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differentiation algorithms
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categorical equivalences
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representations of posets
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categories of representations
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algorithm of differentiation VIII
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Auslander-Reiten quivers
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Categorical properties of the algorithm of differentiation D-VIII for equipped posets. (English)
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Zavadskij established a number of differentiation algorithms to classify indecomposable representations of partially ordered sets of finite growth. He obtained the Auslander-Reiten quivers by studying the categorical properties of the pertinent algorithms. For equipped posets of finite growth, a categorical description of algorithm VII was given recently by Cañadas and Giraldo [\textit{A. Moreno Cañadas} and \textit{H. Giraldo}, JP J. Algebra Number Theory Appl. 29, No. 1, 91-106 (2013; Zbl 1279.16014)]. In the paper under review, a similar investigation is carried through for algorithm D-VIII.
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