On the Rank of Semimodules over Semirings

• Autores: U. Hebisch, H.J. Weinert
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 46, Fasc. 1-2, 1995 (Ejemplar dedicado a: Professor Paul Dubreil (In memoriam )), págs. 83-96
• Idioma: inglés
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• Resumen

  • In this paper we investigate conditions on a semiring $S$ such that there are semimodules over $S$ with bases of different length. This includes and generalizes corresponding results on rings, in particular one due to P. Dubreil.