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Bases for modules
Journal article   Open access

Bases for modules

D. D Anderson and John Robeson
Expositiones Mathematicae, Vol.22(3), pp.283-296
01/01/2004
DOI: 10.1016/s0723-0869(04)80007-0
url
https://doi.org/10.1016/s0723-0869(04)80007-0View
Published (Version of record) Open Access

Abstract

Let R be a ring and A an R-module. We examine different notions of bases or generating sets for A. Of particular interest is the notion of an irredundant basis for A, that is, a subset X of A that generates A but for which no proper subset of X generates A. We investigate the existence and cardinality of irredundant bases.
Mathematics(all)

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