Form equivalence class Howard-Rubin Number: 1

Statement:

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

Howard-Rubin number: 1 AD

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

Connections (notes):

References (books):

Back