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

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.

MSC: 54A10

Received: 15.12.2005
Revised: 03.01.2006

Language: English

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