Abstract
The aim of this paper is to characterize the strongly distributive multiplicative hyperrings. A non trivial example is provided giving a model for such hyperrings; also a characterization theorem is proved.
Similar content being viewed by others
References
CORSINI, P.: Hypergroupes et groupes ordonnés. Rend. Sem. Mat. Univ. Padova, 48 (1973)
CORSINI, P.: I prolegomeni alla teoria degli ipergruppi. Quad. Ist. Mat. Inf. Sist. Univ. Udine
MITTAS, J.: Hyperanneaux et certaines de leurs proprietés. C.R. Acad. Sci. Paris, A (1969)
PROCESI, R. et ROTA, R.: Le spectre premier d'un hyperanneau multiplicatif. Atti Conv. “Ipergruppi, altre strutture multivoche e loro applicazioni” Udine (1985)
ROTA, R.: Sugli iperanelli moltiplicativi. Rend. Mat. 4 (1982) v.2 s.VII
SCAFATI TALLINI, M.: A-iper-raoduli e spazi iper-vettoriali. Riv. Mat. Pura e Appl., Univ. Udine 3 (1988)
VOUGIOUKLIS, T.: Representations of hypergroups. Hypergroup algebra. Atti Conv. “Ipergruppi, altre strutture multivoche e loro applicazioni”, Udine (1985)
Author information
Authors and Affiliations
Additional information
Dedicated to G. Tallini on the occasion of his 60th birthday.
Research supported by G.N.S.A.G.A. — C.N.R.
Rights and permissions
About this article
Cite this article
Rota, R. Strongly distributive multiplicative hyperrings. J Geom 39, 130–138 (1990). https://doi.org/10.1007/BF01222145
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01222145