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Topological Krull dimension

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Abstract

In this paper, we introduce a topological analog of Krull dimension. We are interested in particular properties of rings and modules having topological Krull dimension. The topological Baer radical of a PI-ring possessing a module with topological Krull dimension will be investigated.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 10, No. 3, pp. 215–230, 2004.

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Tenzina, V.V. Topological Krull dimension. J Math Sci 139, 6803–6813 (2006). https://doi.org/10.1007/s10958-006-0392-3

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Keywords

  • Natural Number
  • Topological Space
  • Discrete Case
  • Topological Ring
  • Topological Module