Arithmetical Rings and Krull Dimension

2017/04/29 by Tuganbaev, Askar
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1705.00181

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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