Rings with Unique Maximal Ideals
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M. Satyanarayana; M. G. Deshpande
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Article
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1979
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John Wiley and Sons
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English
โ 416 KB
A ring with identity is said to be a local ring if it contains a unique maximal right ideal [2; 751. This implies that the unique maximal right ideal is also the unique maximal ideal. But rings with unique maximal ideals need not be local rings. The ring of all 2x2 matrices over the ring of integers