Postulate-sets for Boolean rings

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Postulate-sets for Boolean Rings

1. Introduction. Boolean rings (or generalized Boolean algebras), defined by Stone, are rings in which every element is idempotent. Sets of postulates for these rings have been given by Stone(2) and by Stabler(8). I give in this paper a number of additional postulate-sets for such rings. The sets are all expressed in terms of ring addition and multiplication. Stone's postulates for Boolean ring...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1944

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1944-0009944-6