Monoid Presentations and Associated Groupoids

DOI10.1142/S0218196798000089zbMath0943.20055MaRDI QIDQ4704545

N. D. Gilbert

Publication date: 10 May 2000

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

fundamental groupsmonoid presentations2-complexesfundamental groupoidsmonoid presentations of groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50)

Related Items (5)

SECOND ORDER DEHN FUNCTIONS OF GROUPS AND MONOIDS ⋮ The algebra of rewriting for presentations of inverse monoids ⋮ On some homotopical and homological properties of monoid presentations. ⋮ Braided regular crossed modules bifibered over regular groupoids ⋮ Groupoids and the algebra of rewriting in group presentations

Cites Work

• A finiteness condition for rewriting systems
• RELATION MODULES AND RELATION BIMODULES OF GROUPS, SEMIGROUPS AND ASSOCIATIVE ALGEBRAS
• Algebraic Models of 3‐Types and Automorphism Structures for Crossed Modules
• On the Algebra of Semigroup Diagrams
• LOW-DIMENSIONAL HOMOTOPY THEORY FOR MONOIDS

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