References
clifford, A.H. and D.D. Miller,Union and symmetry preserving endomorphisms of the semigroup of all binary relations on a set, Czechoslovak Math. J. 20 (1970), 303–314.
Hardy, D.W. and M.C. Thornton,Partial orders and their semigroups of closed relations, submitted.
Hardy, D.W. and M.C. Thornton,The domain-range trace of a finite partial order, submitted.
McAlister, D.B.,Homomorphisms of semigroups of binary relations, Semigroup Forum 3 (1971), 185–188.
Magill, K.D., Jr.,Automorphisms of the semigroup of all relations on a set, Canadian Math. Bull. 9 (1966), 73–77.
Magill, K.D., Jr. and S. Yamamuro,Union and symmetry preserving homomorphisms of semigroups of closed relations, Proc. London Math. Soc. 24 (1972), 59–78.
Zareckiî, K.A.,Abstract characterization of the semigroup of all binary relations, Proc. Leningrad Pedagogical Inst. 183 (1958), 251–263 (Russian).
—,Maximal submonoids of the semigroup of binary relations, Semigroup Forum 9 (1974), 196–208.
Author information
Authors and Affiliations
Additional information
Communicated by N.R. Reilly
Research was done while the first author was visiting at the University of Nebraska-Lincoln.
Rights and permissions
About this article
Cite this article
Hardy, D.W., Thornton, M.C. Partial orders, closed relations and their automorphisms. Semigroup Forum 22, 125–138 (1981). https://doi.org/10.1007/BF02572792
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02572792