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Semisimple Varieties of Modal Algebras

Tomasz Kowalski and Marcus Kracht
Studia Logica: An International Journal for Symbolic Logic
Vol. 83, No. 1/3, Special Issue in Memory of Willem Johannes Blok (Jun. - Aug., 2006), pp. 351-363
Published by: Springer
Stable URL: http://www.jstor.org/stable/20016809
Page Count: 13
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Semisimple Varieties of Modal Algebras
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Abstract

In this paper we show that a variety of modal algebras of finite type is semisimple iff it is discriminator iff it is both weakly transitive and cyclic. This fact has been claimed already in [4] (based on joint work by the two authors) but the proof was fatally flawed.

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