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On the expected number of generators of a submodule of a free module over a finite special principal ideal ring

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Résumé

On généralise un résultat de Dobbs-Lancaster sur les espaces vectorielles au cadre des modules sur un anneau principal spécial finiR. SoitV une module libre de type fini. On trouve une formule explicite et des valeurs dans la limite du nombre anticipé de générateurs d’un sousmodule arbitraire deV. De plus, on calcule ces valeurs anticipés quand tout sousmodule a un poids naturel (par exemple, quant a sa cardinalité)

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin - Oshkosh, 54901, Oshkosh, Wisconsin, U.S.A.

    Grady D. Bullington

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  1. Grady D. Bullington
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Bullington, G.D. On the expected number of generators of a submodule of a free module over a finite special principal ideal ring. Rend. Circ. Mat. Palermo 51, 5–50 (2002). https://doi.org/10.1007/BF02871451

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  • DOI: https://doi.org/10.1007/BF02871451

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