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A Note on Compactifying Artinian Rings
Published online by Cambridge University Press: 20 November 2018
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In this note a number of compactifications are discussed within the class of artinian rings. In [1] the following was proved:
Theorem. For an artinian ring R the following are equivalent:
(1) R is equationally compact.
(2) R+ ≃ B ⊕ P, where B is a finite group, P is a finite direct sum of Prüfer groups, and R · P = P · R = {0}.
(3) R is a retract of a compact topological ring.
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- Copyright © Canadian Mathematical Society 1974
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