Structure of prime rings with minimum condition on closed ideals.
A ring R is said to be prime if AB = 0 implies A= 0 or B = 0 for any (two sided) ideals A, B of R. If R is commutative, this condition is equivalent to: ab= 0 implies a= 0 or b = 0, where a and b are arbitrary elements of R. Thus it is seen that a prime ring is a generalization of an integral domain...
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| Format: | Others |
| Language: | en |
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McGill University
1961
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| Online Access: | http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=113431 |