On Bruck-Reilly λ-extensions of semigroups.
Анотація
We follow the terminology of [1, 3, 5]. In 1970 Nivat and Perrot proposed the following generalization of the bicyclic monoid (see [4] and [3, Section 9.3]).
Посилання
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.
S. Bardyla and O. Gutik, On a complete topological inverse polycyclic monoid, Carpathian Math. Publ. 8 (2016), no. 2, 183–194
M. Lawson, Inverse semigroups. The theory of partial symmetries, World Scientific, Singapore, 1998.
M. Nivat, J.-F. Perrot, Une g.en.eralisation du monoide bicyclique. C. R. Acad. Sci., Paris, S.er. A 271 (1970), 824–827.
W. Ruppert, Compact Semitopological Semigroups: An Intrinsic Theory, Lect. Notes Math., 1079, Springer, Berlin, 1984.
