This is a preview of subscription content, log in via an institution to check access.
References
R. Blažková, J. Chvalina: Regularity and transitivity of local-automorphism semigroups of locally finite forests. Arch. Math. (Brno) 20 (1984), 183–194.
J. Chvalina: On connected unars with regular endomorphism monoids. Arch. Math. (Brno) 16 (1980), 6–14.
A. H. Clifford, G. B. Preston: The Algebraic Theory of Semigroups, Vol. I. Math. Surveys Monographs 7, AMS, Providence, R.I., 1961.
L. L. Esakia: O topologičeskich modeljach Kripke (On topological Kripke models). Dokl. AN SSSR 214/2 (1974), 298–301.
L. L. Esakia: Algebry Gejtinga I. Těorija dvojstvennosti (Heyting Algebras I. Theory of Duality). Mecniereba Tbilisi, 1985.
L. Fuchs: Teilweise geordnete algebraische Strukturen. Vandenhoeck et Ruprecht, Göttingen, 1966.
R. Hartwig: How to partially order regular elements. Math. Japon. 25 (1980), 1–13.
J. B. Hickey: Semigroups under a sandwich operation. Proc. Edinburgh Math. Soc. 26 (1983), 371–382.
J. M. Howie: An Introduction to Semigroup Theory. Academic Press, London, 1976.
K. Iséki: A characterization of regular semi-groups. Proc. Japan Acad. 32 (1956), 676–677.
H. Mitsch: A natural partial order for semigroups. Proc. Amer. Math. Soc. 97 (1986), 384–388.
H. Mitsch: Semigroups and their natural order. Math. Slovaca 44,4 (1994), 445–462.
S. Nambooripad: The natural partial order on a regular semigroups. Proc. Edinburgh Math. Soc. 23 (1980), 249–260.
M. Novotný: Mono-unary algebras in the work of Czechoslovak mathematicians. Arch. Math. (Brno) 26 (1990), 155–164.
M. Novotný: Constructions of all strong homomorphisms of binary structures. Czechosl. Math. J. 41(116) (1991), 300–311.
M. Novotný: Ternary structures and groupoids. Czechosl. Math. J. 41(116) (1991), 90–98.
M. Novotný: On some correspondences between relational structures and algebras. Czechosl. Math. J. 43(118) (1993), 643–647.
M. Novotný: Homomorphisms and strong homomorphisms of relational structures. preprint, 1995.
B. Pondělíček: On a certain relation for closure operation on a semigroup. Czechosl. Math. J. 20(95) (1970), 220–231.
B. Pondělíček: Note on a certain relation for closure operations on a compact semigroups. Czechosl. Math. J. 20(95) (1970), 337–339.
T. Saitô: Regular elements in ordered semigroups. Pacific J. Math. 13 (1963), 263–295.
L. A. Skornjakov: Unary algebras with regular endomorphism monoids. Acta Sci. Math. 40 (1978), 375–381.
C. Wells: Centralizers of transitive semigroup actions and endomorphisms of trees. Pacific J. Math. 64 (1976), 265–271.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chvalina, J. The Iséki-type characterization of certain regular ordered semigroups. Czechoslovak Mathematical Journal 47, 261–276 (1997). https://doi.org/10.1023/A:1022869612707
Issue Date:
DOI: https://doi.org/10.1023/A:1022869612707