The polyadic completion of a transformation algebra
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- by Isidore Fleischer PDF
- Proc. Amer. Math. Soc. 117 (1993), 511-514 Request permission
Abstract:
The (faithful) polyadic completion was constructed in a special case using $\{ 0,1\}$-valued homomorphisms by Leblanc. Here a different method— adjoining extrema freely to the underlying Boolean algebra—succeeds in full generality. This is based on an apparently new axiomatization of locally finite polyadic algebras of infinite degree within the class of transformation algebras as those having certain extrema that the transformations preserve.References
- Paul R. Halmos, Algebraic logic, Chelsea Publishing Co., New York, 1962. MR 0131961
- Leon Henkin, J. Donald Monk, and Alfred Tarski, Cylindric algebras. Part I, Studies in Logic and the Foundations of Mathematics, vol. 64, North-Holland Publishing Co., Amsterdam, 1985. With an introductory chapter: General theory of algebras; Reprint of the 1971 original. MR 781929
- Léon LeBlanc, Transformation algebras, Canadian J. Math. 13 (1961), 602–613. MR 132011, DOI 10.4153/CJM-1961-049-1
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 511-514
- MSC: Primary 03G15
- DOI: https://doi.org/10.1090/S0002-9939-1993-1139476-X
- MathSciNet review: 1139476