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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