Affiliation:
1. Department of Applied Mathematics, MIREA—Russian Technological University, Av. Vernadsky 78, 119454 Moscow, Russia
Abstract
In this article, topologies on metagroups and quasigroups are studied. Topologies on smashed twisted wreath products of metagroups are scrutinized, which are making them topological metagroups. For this purpose, transversal sets are studied. As a tool for this, semi-direct products of topological metagroups are also investigated. They have specific features in comparison with topological groups because of the nonassociativity, in general, of metagroups. A related structure of topological metagroups is investigated. Particularly, their compact subloops and submetagroups are studied. Isomorphisms of topological unital quasigroups (i.e., loops) obtained by the smashed twisted wreath products are investigated. Examples are provided.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference42 articles.
1. Arhangel’skii, A., and Tkachenko, M. (2008). Topological Groups and Related Structures, Atlantis Press. World Sci.
2. Hewitt, E., and Ross, K.A. (1994). Abstract Harmonic Analysis, Springer.
3. Pontryagin, L.S. (2019). Topological Groups, Cambridge University Press.
4. The octonions;Baez;Bull. Am. Math. Soc.,2002
5. Dickson, L.E. (1975). The Collected Mathematical Papers, Chelsea Publishing Co.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献