Implications

We have the following indirect implication of form equivalence classes:

278 \(\Rightarrow\) 244
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
278 \(\Rightarrow\) 244 clear

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number Statement
278:

In an integral domain \(R\), if every ideal is finitely generated then \(R\) has a maximal proper ideal. note 45 E.

244:

Every principal ideal domain has a maximal ideal.

Comment:

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