References
Aschbacher, M.,Finite group theory, Cambridge University Press 1986.
Ebbinghaus, H.-D., J. Flum and W. Thomas,Einführung in die mathematische Logik, Wissenschaftliche Buchgesellschaft Darmstadt, 1986.
Ehresmann, Ch., Oeuvres complètes et commentées, Suppl. Cahiers Top. Gom. Diff. Amiens. 1980–1984.
Fraissé, R.,Course of mathematical logic, Vols I and II. Reidel (Dordrecht) 1973 and 1974.
Higgins, P.,Techniques of semigroup theory, Oxford University Press, 1992.
Higgins, Ph.J.,Categories and groupoids, Van Nostrand Reinhold Company, London, 1971.
Higman, G., B. H. Neumann and H. Neumann,Embedding theorems for groups, J. London Math. Soc.24 (1949) 247–254.
Hodges, W. et.al, Oxford-QMC joint seminar in model theory and permutation groups, Lecture notes, January to April 1986.
Hoehnke, H.-J.,On certain classes of categories and monoids constructed from abstract Malcev clones I., Preprint Akademie der Wissenschaften der DDR, Berlin 1988.
Lawson, M.V.,Some observations on the McAlister covering theorem, U.C.N.W. Mathematics Preprint 90.21.
Lawson, M.V.,The geometric theory of inverse semigroups I: E-unitary inverse semigroups, Journal of Pure and Applied Algebra67 (1990), 151–177.
Lawson, M.V.,The geometric theory of inverse semigroups II: E-unitary covers of inverse semigroups, Journal of Pure and Applied Algebra83 (1992), 121–139.
Lawson, M.V.,Congruences on ordered groupoids, To appear in Semigroup Forum.
Lawson, M.V.,Enlargements of regular semigroups, U.C.N.W. Mathematics preprint 92.22.
Leech, J.,Constructing inverse monoids from small categories, Semigroup Forum36 (1987), 89–116.
McAlister, D.B.,Groups semilattices and inverse semigroups, Trans. American Math. Soc.192 (1974), 227–244.
McAlister, D.B.,Groups semilattices and inverse semigroups II, Trans. American Math. Soc.196 (1974), 351–370.
McAlister, D.B.,A random ramble through inverse semigroups, in ‘Semigroups’ ed. T.H. Hall et.al Academic Press (1980).
McAlister, D.B., and N.R. Reilly,E-unitary covers for inverse semigroups, Pacific J. Math.68, 1977, 161–174.
Nambooripad, K.S.S.,Structure of regular semigroups I, Memoirs of the A.M.S.22 (1979), Number 224.
Petrich, M.,Inverse semigroups, John Wiley and Sons 1984.
Author information
Authors and Affiliations
Additional information
Communicated by Norman R. Reilly
The work for this paper was commenced whilst the author was a Junior Research Fellow at Lincoln College, Oxford and was completed at the Technische Hochschule, Darmstadt, Germany whilst a European Exchange Scheme Fellow. I would like to thank the referee for some useful comments.
Rights and permissions
About this article
Cite this article
Lawson, M.V. Extending partial isomorphisms and McAlister's covering theorem. Semigroup Forum 48, 18–27 (1994). https://doi.org/10.1007/BF02573650
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02573650