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

DOI10.1007/BF02871451zbMath1183.13029MaRDI QIDQ2569755

Grady D. Bullington

Publication date: 20 October 2005

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

number of generatorsfinite special principal ideal ringminimal cardinality of generating setsubmodule of free module

Mathematics Subject Classification ID

Commutative rings and modules of finite generation or presentation; number of generators (13E15) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (9)

On the expected number of generators of a submodule of a free module over a finite principal ideal ring ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Generalizing Sperner's lemma to a free module over a special principal ideal ring ⋮ Unnamed Item ⋮ On the integral ideals of \(R[X\) when \(R\) is a special principal ideal ring] ⋮ The minimal generating sets of the multiplicative monoid of a finite commutative ring. ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Projective modules
• The expected dimension of a sum of vector subspaces

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