FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 1, PAGES 99-115

Axiomatizability of free $S$-posets

M. A. Pervukhin
A. A. Stepanova

Abstract

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In this work, we investigate the partially ordered monoids $S$ over which the class of free (over a poset) $S$-posets is axiomatizable. Similar questions for $S$-sets were considered in papers of V. Gould, S. Bulman-Fleming, and A. A. Stepanova.

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Last modified: December 2, 2009