Abstract
In [6] it is shown that the maximal subgroups of the free idempotent generated regular semigroup which is determined by the biordered set of a completely O-simple semigroup are free. In this note we shall extend this result to a wider class of semigroups.
Similar content being viewed by others
References
Clifford, A. H.,The partial groupoid of idempotents of a regular semigroup, Semigroup Foorum 10 (1975), 262–268.
Kurosh, A. G.,The Theory of Groups, Vol. II, New York (1960).
MacLane, S.,Categories for the Working Mathematician, Berlin (1971).
Nambooripad, K. S. S.,Structure of Regular Semigroups I, Mem. Amer. Math. Soc., to appear.
Nambooripad, K. S. S.,Pseudo-semilattices and biordered sets, to appear.
Pastijn, F.,Idempotent-generated completely O-simple semigroups, Semigroup Forum 15 (1977), 41–50.
Pastijn, F.,The biorder on the partial groupoid of idempotents of a semigroup, J. Algebra, to appear.
Pastijn, F.,Rectangular bands of inverse semigroups, preprint.
Author information
Authors and Affiliations
Additional information
Communicated by D. McAlister
Rights and permissions
About this article
Cite this article
Nambooripad, K.S.S., Pastijn, F. Subgroups of free idempotent generated regular semigroups. Semigroup Forum 21, 1–7 (1980). https://doi.org/10.1007/BF02572533
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02572533