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A note on amalgams of inverse semigroups

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

Benjamin steinberg
Benjamin steinberg
Affiliation:
Faculdade de Ciências da Universidade do Porto4099-002 PortoPortugal e-mail: bsteinbg@agc0.fc.up.pt
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Abstract

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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.

Keywords

Inverse semigroupsamalgamsgraded actions

MSC classification

Secondary: 20M18: Inverse semigroups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 70 , Issue 1 , February 2001 , pp. 71 - 75
Copyright
Copyright © Australian Mathematical Society 2001

References

[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), 38–54.CrossRefGoogle Scholar
[2]Lawson, M. V., ‘A class of actions of inverse semigroups’, J. Algebra 179 (1996), 570–598.CrossRefGoogle Scholar
[3]Lawson, M. V., Inverse semigroups: The theory of partial symmetries (World Scientific, Singapore, 1999).Google Scholar
[4]Lawson, M. V. and Steinberg, B., ‘Partial actions of inverse semigroups and idempotent pure homomorphisms’, in preparation.Google Scholar
[5]Lyndon, R. C. and Schupp, P. E., Combinatorial group theory (Springer, Berlin, 1977).Google Scholar
[6]Nambooripad, K. S. S. and Pastijn, F. J., ‘Amalgamation of regular semigroups’, Houston J. Math. 15 (1989), 249–254.Google Scholar
[7]Steinberg, B., ‘Factorization theorems for morphisms of ordered groupoids and inverse semigroups’, Proc. Edinburgh Math. Soc., to appear.Google Scholar