Embedding theorems for HNN extensions of inverse semigroups |
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Authors: | Akihiro Yamamura |
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Institution: | National Institute of Information and Communications Technology, 4-2-1, Nukui-Kitamachi, Koganei, Tokyo, 184-8795, Japan |
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Abstract: | A variant of an HNN extension of an inverse semigroup introduced by Gilbert N.D. Gilbert, HNN extensions of inverse semigroups and groupoids, J. Algebra 272 (2004) 27-45] is defined provided that associated subsemigroups are order ideals. We show this presentation still makes sense without the assumption on associated subsemigroups in the sense that it gives a semigroup deserving to be an HNN extension, and it is embedded into another variant using the automata theoretical technique based on combinatorial and geometrical properties of Schützenberger graphs. |
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Keywords: | 20M18 20M05 68Q70 |
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