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Arithmetical Rings and Krull Dimension

Published 29 Apr 2017 in math.RA | (1705.00181v1)

Abstract: Let $A$ be a commutative arithmetical ring. The ring $A$ has Krull dimension if and only if every factor ring of $A$ is finite-dimensional and does not have idempotent proper essential ideals. The study is supported by Russian Science Foundation (project no. 16-11-10013).

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Authors (1)

  1. Askar Tuganbaev 

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