1973
DOI: 10.1016/0021-8693(73)90088-4
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On rings whose simple modules are injective

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Cited by 118 publications
(41 citation statements)
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“…= P[" = !/<", where K n = K for each n^l . Then R is a commutative self-injective von Neumann regular ring, so that R is semi-noetherian (being a K-ring), by [20,Theorem 2.1]. However, R is not semi-artinian by Lemma 1 (1).…”
Section: Resultsmentioning
confidence: 99%
“…= P[" = !/<", where K n = K for each n^l . Then R is a commutative self-injective von Neumann regular ring, so that R is semi-noetherian (being a K-ring), by [20,Theorem 2.1]. However, R is not semi-artinian by Lemma 1 (1).…”
Section: Resultsmentioning
confidence: 99%
“…Right GV rings were introduced in [10] and are discussed in [4]. References on these various related topics include [2,3,4,7,12]. …”
Section: Definitions Notation and Preliminary Remarksmentioning
confidence: 99%
“…The equivalence of (ii) and (iii) is [10,Theorem 6.3] while the equivalence of (iii) and (iv) is [12,Theorem 2.3].…”
Section: On Semiprime Pi-algebras Over Commutative Regular Rings Efmentioning
confidence: 99%