Short communications

On positive theories of semigroup varieties and pseudovarieties

V. Yu. Popov

Ural State Technical University

Abstract: 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 $\mathfrak X$.

UDC: 512+519.4

Received: 01.11.1998

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