FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 2, PAGES 631-635

On positive theories of semigroup varieties and pseudovarieties

V. Yu. Popov

Abstract

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Let $\mathcal P$ be a positive language, $\mathcal L \subseteq \mathcal P$, then $\mathcal L\mathfrak X = \mathcal L\mathfrak X \cap \mathfrak F$, where $\mathfrak X$ is a nonperiodic semigroup variety and $\mathfrak X \cap \mathfrak F$ is a finite trace of the variety $\mathfrak X$.

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Last modified: November 26, 2002