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Regular Rank Rings

Published online by Cambridge University Press:  20 November 2018

Israel Halperin
Israel Halperin*
Affiliation:
Queen's University
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1.1. Throughout this note, will denote an associative ring but we shall not require to possess a unit.

If A and B are subsets of , then A + B will denote the set {x + y| x ∊ A, y ∊ B}. Aτ will denote the set {u ∊ | au = 0 for all a ∊ A} .

Elements a and b will be said to be orthogonal if ab = ba = 0.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 17 , 1965 , pp. 709 - 719
Copyright
Copyright © Canadian Mathematical Society 1965

References

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