HNN extensions of inverse semigroups and groupoids.

DOI10.1016/J.JALGEBRA.2003.09.026zbMath1041.20042OpenAlexW2007248682MaRDI QIDQ1425087

N. D. Gilbert

Publication date: 15 March 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.09.026

zbMATH Keywords

HNN extensionscategories of inverse semigroupsinductive groupoidsHigman-Neumann-Neumann embedding theorems for groups

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Inverse semigroups (20M18)

Related Items (10)

Undecidability of the word problem for Yamamura's HNN-extension under nice conditions. ⋮ FINITE PRESENTABILITY OF HNN EXTENSIONS OF INVERSE SEMIGROUPS ⋮ Embedding theorems for HNN extensions of inverse semigroups. ⋮ John Macintosh Howie: work and legacy ⋮ Decidability of the word problem in Yamamura's HNN extensions of finite inverse semigroups. ⋮ A class of inverse monoids acting on ordered forests. ⋮ On higher order homological finiteness of rewriting systems. ⋮ Some completely semisimple HNN-extensions of inverse semigroups ⋮ Amalgams vs Yamamura's HNN-Extensions of Inverse Semigroups ⋮ Unnamed Item

Uses Software

• Gpd

Cites Work

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• Bass-Serre theory for groupoids and the structure of full regular semigroup amalgams
• Locally full HNN extensions of inverse semigroups
• The Word Problem for HNN-extensions of Free Inverse Semigroups
• Structure of regular semigroups. I
• Free Inverse Semigroups
• The Fundamental Groupoid of a Graph of Groups
• Amalgamation and Inverse and Regular Semigroups
• Almost factorisable inverse semigroups
• HNN Extensions of Inverse Semigroups and Applications
• EMBEDDING THEOREMS FOR SEMIGROUPS
• Embedding Theorems for Groups

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