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Algebra and Discrete Mathematics, 2006, Issue 2, Pages 1–16 (Mi adm252)  
SURVEY ARTICLE

Lattices of topologies of algebraic systems

V. I. Arnautov, K. M. Filippov

Institutul de Matematică şi Informatică, str. Academiei, 5, Chişsinău, MD–2028, Moldova
Full-text PDF (267 kB)
Abstract: The article is based on the report, which was delivered on a plenary sitting on the 5th International Algebraic Conference in the Ukraine (Odessa, July, 2005) and is a survey of the results on the lattices of topologies of different algebraic systems.
Keywords: group topology, ring topology, module topology, fundamental system of neighbourhoods of the identity (zero), lattice, (unrefinable) chain, to precede, coatom.
Received: 15.12.2005
Revised: 03.01.2006
Bibliographic databases:
Document Type: Article
MSC: 54A10
Language: English
Citation: V. I. Arnautov, K. M. Filippov, “Lattices of topologies of algebraic systems”, Algebra Discrete Math., 2006, no. 2, 1–16
Citation in format AMSBIB
\Bibitem{ArnFil06}
\by V.~I.~Arnautov, K.~M.~Filippov
\paper Lattices of topologies of algebraic systems
\jour Algebra Discrete Math.
\yr 2006
\issue 2
\pages 1--16
\mathnet{http://mi.mathnet.ru/adm252}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2320978}
\zmath{https://zbmath.org/?q=an:1164.54309}
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