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Algebra Logika, 2013 Volume 52, Number 2, Pages 155–171 (Mi al580)

This article is cited in 3 papers

Topologizability of countable equationally Noetherian algebras

M. V. Kotov

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Omsk, Russia

Abstract: It is proved that an arbitrary equationally Noetherian countable algebra $\mathcal A=\langle A,L_A\rangle$ in a countable language is topologizable. In addition, it is shown that certain of the known statements on topologizability follow as a consequence.

Keywords: equationally Noetherian algebra, topologizable algebra.

UDC: 512.57+515.2

Received: 05.03.2012
Revised: 28.01.2013


 English version:
Algebra and Logic, 2013, 52:2, 105–115

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