# Semigroup of Contractions of Wreath Products of Metric Spaces

Discussiones Mathematicae - General Algebra and Applications (2010)

- Volume: 30, Issue: 1, page 35-43
- ISSN: 1509-9415

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topBogdana Oliynyk. "Semigroup of Contractions of Wreath Products of Metric Spaces." Discussiones Mathematicae - General Algebra and Applications 30.1 (2010): 35-43. <http://eudml.org/doc/276508>.

@article{BogdanaOliynyk2010,

abstract = {In this paper semigroups of contractions of metric spaces are considered. The semigroup of contractions of the wreath product of metric spaces is calculated.},

author = {Bogdana Oliynyk},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {metric space; wreath product; semigroup of contractions},

language = {eng},

number = {1},

pages = {35-43},

title = {Semigroup of Contractions of Wreath Products of Metric Spaces},

url = {http://eudml.org/doc/276508},

volume = {30},

year = {2010},

}

TY - JOUR

AU - Bogdana Oliynyk

TI - Semigroup of Contractions of Wreath Products of Metric Spaces

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2010

VL - 30

IS - 1

SP - 35

EP - 43

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

LA - eng

KW - metric space; wreath product; semigroup of contractions

UR - http://eudml.org/doc/276508

ER -

## References

top- [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 Zbl0095.37802
- [3] I.J. Shoenberg, Metric spaces and completely monotone functions, The Annals of Mathematics 39 (4) (1938), 811-841. doi: 10.2307/1968466 Zbl64.0617.03
- [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. Zbl0833.20001
- [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 Zbl0797.20053

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