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
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- [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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