Keyword: Factorability : Search

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articleFree Access
Correspondence between factorability and normalization in monoids
- Alen Đurić
International Journal of Algebra and Computation06 Jan 2025
Preview Abstract
This paper determines relations between two notions concerning monoids: factorability structure, introduced to simplify the bar complex; and quadratic normalization, introduced to generalize quadratic rewriting systems and normalizations arising from Garside families. Factorable monoids are characterized in the axiomatic setting of quadratic normalizations. Additionally, quadratic normalizations of class $(4, 3)$ are characterized in terms of factorability structures and a condition ensuring the termination of the associated rewriting system.

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