Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 839-847
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A. G. Pinus. On faithful conditional identities and conditionally complete conditional varieties. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 839-847. http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a14/
@article{FPM_2001_7_3_a14,
author = {A. G. Pinus},
title = {On faithful conditional identities and conditionally complete conditional varieties},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {839--847},
year = {2001},
volume = {7},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a14/}
}
TY - JOUR
AU - A. G. Pinus
TI - On faithful conditional identities and conditionally complete conditional varieties
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 839
EP - 847
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a14/
LA - ru
ID - FPM_2001_7_3_a14
ER -
%0 Journal Article
%A A. G. Pinus
%T On faithful conditional identities and conditionally complete conditional varieties
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 839-847
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a14/
%G ru
%F FPM_2001_7_3_a14
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 $\overset{\rightarrowtail}{\mathfrak M^{\mathrm c}}$.
