Self-injective rings
โ Scribed by Yuzo Utumi
- Publisher
- Elsevier Science
- Year
- 1967
- Tongue
- English
- Weight
- 489 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
A ring \(R\) is called right principally injective if every \(R\)-homomorphism from a principal right ideal to \(R\) is left multiplication by an element of \(R\). In this paper various properties of these rings are developed, many extending known results. If, in addition, \(R\) is semiperfect and h
A ring R is said to be right P-injective if every homomorphism of a principal right ideal to R is given by left multiplication by an element of R. This is ลฝ . equivalent to saying that lr a s Ra for every a g R, where l and r are the left and right annihilators, respectively. We generalize this to o