Confluence of linear rewriting and homology of algebras - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
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.
No file

Dates and versions

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

Identifiers

  • 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⟩
313 View
0 Download

Share

Gmail Mastodon Facebook X LinkedIn More