Rings in Post algebras
Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 2
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Serfati [7]] defined a ring structure on every Post algebra. In this paper we determine all the rings that are defined over a Post algebra and share the properties of the Serfati ring. In the case r = 3 one of them is equivalent to the Post algebra. This is a term equivalence and it extends the equivalence between a Boolean algebra and the Boolean ring associated with it.