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Sul prodotto di due omomorfismi forti fra sistemi algebrici

Giovanni Dantoni — 1976

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

One considers two strong homomorphisms, φ and ψ . In Sec. 3 one finds a necessary and sufficient condition for the product φ ψ to be a strong homomorphism. One also proves the following result: if φ is surjective or ψ is an isomorphism, then φ ψ is a strong homomorphism. In Sec. 4 it is proved that any homomorphism can be split into the product of an isomorphism and a surjective strong homomorphism except for a particular case which is then determined.

Sui riferimenti rispetto ai quali una data corrispondenza fra sistemi relazionali è omomorfa

Giovanni Dantoni — 1974

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Correspondences between relational systems which are homomorphic with respect to some reference system are studied. Five types of homomorphism conditions are discussed. Normal references in which a correspondence between relational systems is a homomorphic correspondence of a certain type are examined, and the cases in which there is only one of these reference systems are determined.

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