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Sur les homomorphismes polydrômes

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Riassunto

Chiamiamo omomorfismo polidromo una funzione multivoca fra due ipergruppi commutativi,f:H 1→H 2, tale chef(x+y)⊃f(x)+f(y), ∀x, ∀y. Si studiano queste funzioni soprattutto nel casoH 2 sia un semigruppo cancellativo o un gruppo.

Résumé

Appelons homomorphisme polydrôme, une fonction multivoque entre deux hypergroupes commutatifs,f:H 1→H 2, telle quef(x+y)⊃f(x)+f(y), ∀x, ∀y. On étudie cettes fonctions surtout dans les cas oùH 2 est un demigroupe cancellatif ou un groupe.

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Bibliographie

  1. N. Bourbaki,Algèbre Commutative, Diviseurs, Hermann, Paris, 1965.

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  2. P. Corsini,Sur les homomorphismes d’hypergroupes, Rend. Sem. Mat., Padova, 1974.

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  1. Piergiulio Corsini

    Present address: Istituto di Matematica dell’Università, via L. B. Alberti 4, Genova

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    1. Piergiulio Corsini
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    Corsini, P. Sur les homomorphismes polydrômes. Ann. Univ. Ferrara 21, 131–146 (1975). https://doi.org/10.1007/BF02826786

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