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Conference Papers Year : 2014

Confluence of linear rewriting and homology of algebras

Abstract

We introduce the notion of higher dimensional linear rewriting systems for presentations of algebras, generalizing the notion of non-commutative Gröbner bases. We show how to use this notion to compute homological invariants of associative algebras, using the confluence properties of presentations of these algebras. Our method constitutes a new application of confluence in algebra.
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Dates and versions

hal-01105087 , version 1 (19-01-2015)

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  • HAL Id : hal-01105087 , version 1

Cite

Yves Guiraud, Eric Hoffbeck, Philippe Malbos. Confluence of linear rewriting and homology of algebras. 3rd International Workshop on Confluence, Jul 2014, Vienna, Austria. ⟨hal-01105087⟩
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