(FUNDAMENTAL AND APPLIED MATHEMATICS)

1996, VOLUME 2, NUMBER 1, PAGES 161-170

## On properties of maximal homomorphic prototypes of $k$-valued logic in $l$-valued logic

A. V. Makarov

Abstract

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The properties of the set $\left\{\cal L\right\}_\left\{k\right\}^\left\{l\right\}$ of all closed subsets of $l$-valued logic $P$l, which may be reflected homomorphically onto $P$k are investigated. We determined all maximal elements of $\left\{\cal L\right\}_\left\{k\right\}^\left\{l\right\}$ and proved that any maximal element is generated by a single function. The asymptotic formula for the number of in pairs nonisomorphic maximal elements of $\bigcup _\left\{k=2\right\}^l \left\{\cal L\right\}_\left\{k\right\}^\left\{l\right\}$ was obtained.

Location: http://mech.math.msu.su/~fpm/eng/96/961/96108h.htm