Minimal semigroup topologies on the semigroup of matrix units

Markiian Khylynskyi, Pavlo Khylynskyi


DOI: http://dx.doi.org/10.30970/vmm.2021.92.051-060

Анотація


We describe minimal topologies in some class of semigroup topologies on  semigroups of matrix units.

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Посилання


B. Banaschewski, Minimal topological algebras, Math. Ann. 211 (1974), no. 2, 107-114. DOI: 10.1007/BF01344165

S. Bardyla and O. Gutik, On the lattice of weak topologies on the bicyclic monoid with adjoined zero, Algebra Discrete Math. 30 (2020), no. 1, 26-43. DOI: 10.12958/adm1459

D. Doitchinov, Produits de groupes topologiques minimaux, Bull. Sci. Math., II. Ser. 97 (1972), 59-64.

O. V. Gutik and K. P. Pavlyk, On topological semigroups of matrix units, Semigroup Forum 71 (2005), no. 3, 389-400. DOI: 10.1007/s00233-005-0530-0

J. Bang-Jensen and G. Gutin, Digraphs. Theory, algorithms and applications, Springer Monographs in Mathematics. Springer, London, 2nd edition, 2009. DOI: 10.1007/978-1-84800-998-1

L. Nachbin, On strictly minimal topological division rings, Bull. Amer. Math. Soc. 55 (1949), 1128-1136. DOI: 10.1090/S0002-9904-1949-09339-4

R. M. Stephenson, Jr., Minimal topological groups, Math. Ann. 192 (1971), 193-195. DOI: 10.1007/BF02052870


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