On modules which are self-slender

Oren Kolman; Rüdiger Gobel; Brendan Goldsmith

On modules which are self-slender

Oren Kolman
, Rüdiger Gobel
, Brendan Goldsmith

University of Bedfordshire

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

1 Downloads (Pure)

Abstract

This paper is an examination of the dual of the fundamental isomorphism relating homomorphism groups involving direct sums and direct products over arbitrary index sets. We prove that for every cardinal μ, with μ ℵ0 = μ, there exists a non-slender self-slender self-small group of cardinality μ+.

Original language	English
Journal	Houston Journal of Mathematics
Volume	35
Issue number	3
Publication status	Published - 1 Jan 2009

Keywords

Mathematics

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On modules which are self-slenderAccepted author manuscript, 239 KBLicence: CC BY-NC-ND

https://www.math.uh.edu/~hjm/Vol35-3.html

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title = "On modules which are self-slender",

abstract = "This paper is an examination of the dual of the fundamental isomorphism relating homomorphism groups involving direct sums and direct products over arbitrary index sets. We prove that for every cardinal μ, with μ ℵ0 = μ, there exists a non-slender self-slender self-small group of cardinality μ+.",

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AU - Goldsmith, Brendan

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N2 - This paper is an examination of the dual of the fundamental isomorphism relating homomorphism groups involving direct sums and direct products over arbitrary index sets. We prove that for every cardinal μ, with μ ℵ0 = μ, there exists a non-slender self-slender self-small group of cardinality μ+.

AB - This paper is an examination of the dual of the fundamental isomorphism relating homomorphism groups involving direct sums and direct products over arbitrary index sets. We prove that for every cardinal μ, with μ ℵ0 = μ, there exists a non-slender self-slender self-small group of cardinality μ+.

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SN - 0362-1588

VL - 35

JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

IS - 3

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On modules which are self-slender

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