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This article is cited in 2 scientific papers (total in 2 papers)
Arithmetical rings and Krull dimension
A. A. Tuganbaev National Research University "Moscow Power Engineering Institute"
Abstract:
Let $A$ be a commutative arithmetical ring. It is proved that 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.
Keywords:
arithmetical ring, Krull dimension, idempotent ideal.
Received: 29.11.2016
Citation:
A. A. Tuganbaev, “Arithmetical rings and Krull dimension”, Diskr. Mat., 29:3 (2017), 126–132; Discrete Math. Appl., 28:2 (2018), 113–117
Linking options:
https://www.mathnet.ru/eng/dm1421https://doi.org/10.4213/dm1421 https://www.mathnet.ru/eng/dm/v29/i3/p126
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Abstract page: | 393 | Full-text PDF : | 54 | References: | 31 | First page: | 19 |
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