I am currently working through Hungerford's Algebra, which in the first few pages claims to rely on the (or perhaps a) Gödel-Bernays axiomatization of set theory. I am looking for a citable reference with an explicit statement of what would then be considered the Gödel-Bernays axioms.
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Added umlauts to Gödel
Reference for Gödel-Bernays Axioms
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