Topological MI-groups

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F18%3AA1901UHB" target="_blank" >RIV/61988987:17310/18:A1901UHB - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Topological MI-groups
Original language description
This contribution deals with the generalization of groups and topological groups. The MI-group (many identities group) structure, which naturally generalizes the group structure, is enriched by a topology and the respective binary operation and inversion are continuous. The aim of this contribution is to introduce the term of topological MI-group, introduce the basic properties and demonstrate them on examples. To be able to study topological MI-groups, first, we need to introduce MI-groups as a generalization of groups. There are defined terms of a product of MI-groups and quotient MI-subgroups. The main part of this contribution shows a basic definition of topological MI-groups and this concept is demonstrated on examples. There is also shown the existence of product and quotient topological MI-groups.
Czech name
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Czech description
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Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 19th International Student Conference on Applied Mathematics and Informatics
ISBN
9788074641121
ISSN
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e-ISSN
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Number of pages
1
Pages from-to
33-33
Publisher name
University of Ostrava
Place of publication
Ostrava
Event location
Malenovice
Event date
May 10, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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