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Discrete Mathematics & Theoretical Computer Science |
We present a beautiful interplay between combinatorial topology and homological algebra for a class of monoids that arise naturally in algebraic combinatorics. We explore several applications of this interplay. For instance, we provide a new interpretation of the Leray number of a clique complex in terms of non-commutative algebra.
Source : ScholeXplorer
IsRelatedTo ARXIV math/0601745 Source : ScholeXplorer IsRelatedTo DOI 10.1016/j.jcta.2006.01.005 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.math/0601745
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