FPM 2001, vol. 7, no. 3, pp. 839-847

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 3, PAGES 839-847

On faithful conditional identities and conditionally complete conditional varieties

A. G. Pinus

Abstract

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It is proved that for any faithful conditional variety $$ \mathfrak M
$$ with unique constant algebra there exist a conditionally complete conditional variety $$ \mathfrak M^{\mathrm c} $$ and a polyinjective functor $F$ which isomorphically embedds the embedding category $$ \overset {\rightarrowtail }{\mathfrak M}
$$ into the embedding category $$ \overset
{\rightarrowtail }{\mathfrak M^{\mathrm c}} $$ .

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