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Subdirectly irreducible and free Kleene-Stone algebras

✍ Scribed by Fernando Guzmán; Craig C. Squier

Publisher: Springer
Year: 1994
Tongue: English
Weight: 346 KB
Volume: 31
Category: Article
ISSN: 0002-5240
DOI: 10.1007/bf01236522

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## Abstract A characterization of the subdirectly irreducible separable dynamic algebras is presented. The notions develo‐ ped for this study were also suitable to describe the previously found class of simple separable dynamic algebras (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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We investigate the free Kleene algebra on n free generators, FK(n). This algebra is essentially the same as the set of n-variable fuzzy switching functions. The cardinality of FK(n) has been previously determined only for n = 1,2, and 3. We present a general method for enumeration problems of this k