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2001 Methods of calculating cohomological and Hochschild-Mitchell dimensions of finite partially ordered sets
A. A. Husainov, A. Pancar
Homology Homotopy Appl. 3(1): 101-110 (2001).

Abstract

Mitchell characterized all finite partially ordered sets with incidence ring of Hochschild dimension 0, 1, and 2. Cheng characterized all finite partially ordered sets of cohomological dimension one. There are no conjectures in other dimensions. This article contains the algorithms for calculating the dimensions of finite partially ordered sets by elementary operations over rows and columns of matrices with integer entries.

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A. A. Husainov. A. Pancar. "Methods of calculating cohomological and Hochschild-Mitchell dimensions of finite partially ordered sets." Homology Homotopy Appl. 3 (1) 101 - 110, 2001.

Information

Published: 2001
First available in Project Euclid: 19 February 2006

zbMATH: 0988.18009
MathSciNet: MR1854640

Subjects:
Primary: 18G20
Secondary: 55M10

Rights: Copyright © 2001 International Press of Boston

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Vol.3 • No. 1 • 2001
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