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Maximal Ideals in Near-Rings And Semigroups

✍ Scribed by Heatherly, Henry E.; Tucci, Ralph P.

Book ID
118165699
Publisher
Taylor and Francis Group
Year
2002
Tongue
English
Weight
148 KB
Volume
25
Category
Article
ISSN
1607-3606

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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