Semigroup of Contractions of Wreath Products of Metric Spaces

• Autorzy: Bogdana Oliynyk
• Języki publikacji: EN

Abstrakty

EN

In this paper semigroups of contractions of metric spaces are considered. The semigroup of contractions of the wreath product of metric spaces is calculated.

Słowa kluczowe

EN

metric space; wreath product; semigroup of contractions

Kategorie tematyczne

• 20M20: Semigroups of transformations, etc.
• 52C99: None of the above, but in this section

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2010
• Tom: 30
• Numer: 1
• Strony: 35-43

Daty

wydano

2010

otrzymano

2009-05-06

poprawiono

2009-11-09

Twórcy

autor

Bogdana Oliynyk

• Department of Informatics, Kyiv-Mohyla Academy, Ukraine

Bibliografia

• [1] F. Harary, On the group of the composition of two graphs, Duke Math J. 26 (1959), 47-51. doi: 10.1215/S0012-7094-59-02603-1
• [2] G. Sabidussi, The composition of graphs, Duke Math J. 26 (1959), 693-696. doi: 10.1215/S0012-7094-59-02667-5
• [3] I.J. Shoenberg, Metric spaces and completely monotone functions, The Annals of Mathematics 39 (4) (1938), 811-841. doi: 10.2307/1968466
• [4] B. Oliynyk, Isometry groups of wreath products of metric spaces, Algebra and Discrete Mathematics 4 (2007), 123-130.
• [5] I.D. Meldrum, Wreath products of groups and semigroups, New York, Longman 1995.
• [6] A. Oliinyk, On Free Semigroups of Automaton Transformations, Mathematical Notes 63 (2) (1998), 248-259. doi: 10.1007/BF02308761
• [7] J. Rhodes, Monoids acting on trees: Elliptic and wreath products and the holonomy theorem for arbitrary monoids with applications to infinite groups, Int. J. Algebra Comput. 1 (2) (1991), 253-279. doi: 10.1142/S0218196791000171

Identyfikatory

DOI

10.7151/dmgaa.1161