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A
generalization of (−1, 1) rings
Erwin Kleinfeld |
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Vol. 53 (1974), No. 1, 195–202
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Abstract |
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A ring is defined to be a division ring in case the equations ax = b, and ya = b, have unique solutions for x and y whenever a≠0. It is shown that division rings of characteristic ≠2,3 which satisfy the identities (i) (wx,y,z) + (w,x,(y,z)) = w(x,y,z) + (w,y,z)x, (ii) (x,y,z) + (y,z,x) + (z,x,y) = 0, and (iii) ((x,y),y,y) = 0, are associative. |
Mathematical Subject Classification 2000
Primary: 17A30
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Milestones
Received: 6 June 1973
Published: 1 July 1974
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Authors |
| Erwin Kleinfeld | |
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