This article is cited in 3 papers

Retracts of structures

T. S. Fofanova

Moscow Institute of Mechanical Engineering

Abstract: 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 $L$.

UDC: 512.4

Received: 19.05.1969

 English version: Mathematical Notes, 1970, 7:6, 415–418

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