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Maximal zero product subrings and inner ideals of simple rings

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posted on 18.08.2017, 09:54 by Alexander Baranov, Antonio Fernández López
Let Q be a (non-unital) simple ring. A nonempty subset S of Q is said to have zero product if S^2=0. We classify all maximal zero product subsets of Q. We also describe the relationship between the maximal zero product subsets of Q and the maximal inner ideals of its associated Lie algebra.

History

Citation

University of Leicester Research Report MA 16-14, 2016

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Published in

University of Leicester Research Report MA 16-14

Acceptance date

15/09/2016

Copyright date

2016

Available date

18/08/2017

Publisher version

https://arxiv.org/abs/1609.04609

Notes

MSC classes: 16D30, 17B60

Language

en

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