On modules which are self-slender

Oren Kolman
,
Rüdiger Gobel
,
Brendan Goldsmith

University of Bedfordshire

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Article

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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+.

Publication Information

Output type

Research Output:

Contribution to journal

Article

Peer-review

Original language

English

Journal (Volume, Issue Number)

Houston Journal of Mathematics (Volume 35, Issue 3)

Publication milestones

Published - 01/01/2009

Publication status

Published - 01/01/2009

ISSN

0362-1588

Publication IDs

handle.net: 10547/279172
Scopus: 70350502606

Access to documents

On modules which are self-slender.pdf

Accepted author manuscript, 238.8 KB

License:CC BY-NC-ND

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

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