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Research articles

Topological rings with at most two nontrivial closed ideals

Valeriu Popa

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova

Abstract: In this paper, we describe the Hausdorff topological rings with identity in which every nontrivial closed ideal is topologically maximal, respectively, strongly topologically maximal, and the Hausdorff topological rings with identity which have no more than two nontrivial closed ideals.

Keywords and phrases: topological rings, closed ideals, topologically maximal ideals.

MSC: 16W80

Received: 20.10.2010

Language: English

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