HNN extensions of inverse semigroups with zero-Reference-Cited by-同舟云学术

HNN extensions of inverse semigroups with zero

Published:2007-01 Issue:1 Volume:142 Page:25-39
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

DOMBI E. R.,GILBERT N. D.

Abstract

AbstractWe study a construction of an HNN extension for inverse semigroups with zero. We prove a normal form for the elements of the universal group of an inverse semigroup that is categorical at zero, and use it to establish structural results for the universal group of an HNN extension. Our main application of the HNN construction is to show that graph inverse semigroups –including the polycyclic monoids –admit HNN decompositions in a natural way, and that this leads to concise presentations for them.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference15 articles.

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2. [2] Dombi E. R. and Gilbert N. D. . HNN constructions of free inverse semigroups and of Bruck-Reilly extensions. Preprint.

3. HNN Extensions of Inverse Semigroups and Applications

4. [6] Higgins P. J. . Notes on categories and groupoids. Van Nostrand Reinhold Math. Stud. 32 (1971). Reprinted electronically at www.tac.mta.co/tac/reprints/articles/7/7tr7.pdf.

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