Elements in exchange rings with related comparability
We show that if R is an exchange ring, then the following are equivalent: (1) R satisfies related comparability. (2) Given a,b,d∈R with aR+bR=dR, there exists a related unit w∈R such that a+bt=dw. (3) Given a,b∈R with aR=bR, there exists a related unit w∈R such that a=bw. Moreover, we investigate th...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200002234 |
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