On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers.
Abstrakt
On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integersBibliografia
J. H. Carruth, J. A. Hildebrant, and R. J. Koch, The Theory of Topological Semigroups, Vol. I, Marcel Dekker, Inc., New York and Basel, 1983; Vol. II, Marcel Dekker, Inc., New York and Basel, 1986.
I. Ya. Chuchman and O. V. Gutik, Topological monoids of almost monotone injective co-finite partial selfmaps of the set of positive integers, Carpathian Math. Publ. 2 (2010), no. 1, 119–132.
A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, Vol. I., Amer. Math. Soc. Surveys 7, Providence, R.I., 1961; Vol. II., Amer. Math. Soc. Surveys 7, Providence, R.I., 1967.
R. Engelking, General Topology, 2nd ed., Heldermann, Berlin, 1989.
O. Gutik and D. Repov.s, Topological monoids of monotone, injective partial selfmaps of N having cofinite domain and image, Stud. Sci. Math. Hungar. 48 (2011), no. 3, 342–353.
M. Lawson, Inverse Semigroups. The Theory of Partial Symmetries, Singapore: World Scientific, 1998.
W. Ruppert, Compact Semitopological Semigroups: An Intrinsic Theory, Lect. Notes Math., 1079, Springer, Berlin, 1984.
