On Bruck-Reilly λ-extensions of semigroups.

Автор(и)

  • P. Khylynskyi Faculty of Mechanics and Mathematics, National University of Lviv, Lviv, Ukraine
  • O. Gutik Faculty of Mechanics and Mathematics, National University of Lviv, Lviv, Ukraine

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.

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