Small rings without ideal centres

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MacHale_Small_rings_2012.pdf(215.49 KB)
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Date
2012
Authors
Buckley, Stephen M.
Machale, Desmond
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Publisher
Irish Mathematical Society
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Abstract
We show that the smallest indecomposable non-unital ring in which the centre is not an ideal has order 32.
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Keywords
Integers , Noncommutative algebras , Mathematical models , Matrices , Mathematical notation , Non-unital ring , Noncommutative ring
Citation
Buckley, S. M. and Machale, D. (2012) 'Small rings without ideal centres', Bulletin of the Irish Mathematical Society, 70 pp. 41-49.
Link to publisher’s version
http://banach.ucd.ie/bull70/index.php
URI
https://hdl.handle.net/10468/9606
Collections
Mathematical Sciences- Journal Articles
Copyright
© 2012 Irish Mathematical Society