TRANSFORMATIONS OF BOOLEANS

Authors

  • Ǵ. Čupona Author
  • N. Celakoski Author

Abstract

We say that (M;f) is a Boolean unar iff f is a mapping from a subset D of B(M) into B(M). Subunars, homomorphisms and free objects are defined in a usual way. The main subject of the paper is the problem of existence of free objects in several classes of Boolean unars. Almost everywhere one obtains the following "unusual" property: there are more than one endomorphisms in a free Boolean unar which induce the identity transformation of the basis (as it is well-known, free algebras have not this property ([1])).

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Published

1990-01-01

Issue

Vol. 14 (1990): 14 (XL) (1990)

Section

Articles

How to Cite

[1]
Ǵ. Čupona and N. Celakoski, “TRANSFORMATIONS OF BOOLEANS”, Mat. Bilt., vol. 14, no. 1, pp. 15–26, Jan. 1990, Accessed: Oct. 18, 2026. Available: https://bilten.smm.org.mk/index.php/bilten/article/view/1477