Describing semigroups with defining relations of the form \(xy=yz\) and \(yx=zy\) and connections with knot theory

DOI10.1007/s00233-016-9808-7zbMath1422.20024OpenAlexW2415840044MaRDI QIDQ1677260

Alexei Vernitski

Publication date: 10 November 2017

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-016-9808-7

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Topological methods in group theory (57M07)

Related Items

Visual Algebraic Proofs for Unknot Detection

Cites Work

• The finite basis problem for Kauffman monoids.
• On three approaches to conjugacy in semigroups.
• A classifying invariant of knots, the knot quandle
• Presentations et presentations simplifiables d'un monoide simplifiable
• Knots and graphs. I: Arc graphs and colorings
• Three-page approach to knot theory. Universal semigroup
• On the classification of rational tangles
• On finite complete rewriting systems, finite derivation type, and automaticity for homogeneous monoids
• Conjugation in semigroups.
• RACKS AND LINKS IN CODIMENSION TWO
• Groebner-Shirshov basis for the braid semigroup
• Virtual Knots
• Garside monoids vs divisibility monoids
• Braid Groups
• Knots
• Hilbert Space Extremal Problems with Constraints
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item