Retracts of structures
Matematičeskie zametki, Tome 7 (1970) no. 6, pp. 687-692
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It is proved that the category of all structures does not contain nontrivial injective objects. Necessary and sufficient conditions are derived under which any substructure (ideal, filter) of a structure $L$ is a retract of $L$.
@article{MZM_1970_7_6_a3,
author = {T. S. Fofanova},
title = {Retracts of structures},
journal = {Matemati\v{c}eskie zametki},
pages = {687--692},
publisher = {mathdoc},
volume = {7},
number = {6},
year = {1970},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_6_a3/}
}
T. S. Fofanova. Retracts of structures. Matematičeskie zametki, Tome 7 (1970) no. 6, pp. 687-692. http://geodesic.mathdoc.fr/item/MZM_1970_7_6_a3/