Lattices of topologies of algebraic systems

V. I. Arnautov, K. M. Filippov

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

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