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A note on amalgams of inverse semigroups

  • Benjamin steinberg (a1)

Abstract

This note gives a necessary condition, in terms of graded actions, for an inverse semigroup to be a full amalgam. Under a mild additional hypothesis, the condition becomes sufficient.

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References

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[1]Haataja, S., Margolis, S. W. and Meakin, J., ‘Bass-Serre theory for groupoids and the structure of full regular semigroup amalgams’, J. Algebra 183 (1996), 3854.
[2]Lawson, M. V., ‘A class of actions of inverse semigroups’, J. Algebra 179 (1996), 570598.
[3]Lawson, M. V., Inverse semigroups: The theory of partial symmetries (World Scientific, Singapore, 1999).
[4]Lawson, M. V. and Steinberg, B., ‘Partial actions of inverse semigroups and idempotent pure homomorphisms’, in preparation.
[5]Lyndon, R. C. and Schupp, P. E., Combinatorial group theory (Springer, Berlin, 1977).
[6]Nambooripad, K. S. S. and Pastijn, F. J., ‘Amalgamation of regular semigroups’, Houston J. Math. 15 (1989), 249254.
[7]Steinberg, B., ‘Factorization theorems for morphisms of ordered groupoids and inverse semigroups’, Proc. Edinburgh Math. Soc., to appear.
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Keywords

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