VSL 2014: VIENNA SUMMER OF LOGIC 2014

Confluence of linear rewriting and homology of algebras

Authors: Yves Guiraud, Eric Hoffbeck and Philippe Malbos

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Paper Information

Title:Confluence of linear rewriting and homology of algebras
Authors:Yves Guiraud, Eric Hoffbeck and Philippe Malbos
Proceedings:IWC 2014 Workshop Proceedings
Editors: Takahito Aoto and Delia Kesner
Keywords:linear rewriting and generalized gröbner basis, higher-dimensional rewriting, confluence in algebra
Abstract:

ABSTRACT. We introduce the notion of higher dimensional linear rewriting system for presentations of algebras generalizing the notion of noncommutative Gröbner bases. We show how to use this notion to compute homological invariants of associative algebras, related to confluence properties of presentations of these algebras. Our method constitutes a new application of confluence in algebra.

Pages:1
Talk:Jul 13 15:30
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