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Self-injective rings

โœ 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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โœ W.K. Nicholson; M.F. Yousif ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 668 KB

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

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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

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