Form equivalence class Howard-Rubin Number: 0

Statement:

For every class \(K\) of similar algebras \(SP^{r}K \supseteq P^{r}S\ K\). (For any class \(K\) of similar algebras, \(S\ K\) ist he class of all subalgebras of elements of \(K\) (not closed under isomorphism) and \(P^{r}K\) is the class of all algebras isomorphic to reduced direct products of algebras in \(K\).)

Howard-Rubin number: 0 W

Citations (articles): Andreka/Nemeti [1980] Does \(SP K \supseteq PS K\) imply the axiom of choice?

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