Methods of calculating cohomological and Hochschild-Mitchell dimensions of finite partially ordered sets (Q5933382)
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scientific article; zbMATH DE number 1598725
| Language | Label | Description | Also known as |
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| English | Methods of calculating cohomological and Hochschild-Mitchell dimensions of finite partially ordered sets |
scientific article; zbMATH DE number 1598725 |
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Methods of calculating cohomological and Hochschild-Mitchell dimensions of finite partially ordered sets (English)
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20 May 2001
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cohomological dimension
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Hochschild dimension
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cohomology of categories
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partially ordered set
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\textit{B. Mitchell} [Adv. Math. 8, 1-161 (1972; Zbl 0232.18009)] described finite partially sets of Hochschild dimension \(0\), \(1\) and \(2\). \textit{C. C. Cheng} [J. Algebra 40, No. 2, 340-347 (1985; Zbl 0337.18008)] characterized such sets of cohomological dimension one. NEWLINENEWLINENEWLINEThe authors present algorithms for calculating those dimensions by means of elementary operations on rows of columns of some matrices with integral entries.
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