ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXVI, 2 (2007)
p. 263 - 272
Rings in Post algebras
S. Rudeanu
Abstract.
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.
Keywords:
Post algebra, Post ring.
AMS Subject classification. 06D25, 16B99.
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