C-injectivity and C-projectivity

Authors :: Roger Yue Chi Ming
Source :: Hiroshima Math. J. 37, no. 3 (2007), 385-395
Publication Year :: 2007
Publisher :: Hiroshima University, Department of Mathematics, 2007.
Abstract: The definition of p-injectivity motivates us to generalize the notion of injectivity and projectivity, noted respectively C-injectivity and C-projectivity. Noetherian, semi-simple Artinian, quasi-Frobenius, regular hereditary and self-injective regular rings are considered in terms of C-injectivity and C-projectivity. Partial answers are given to Matlis’ Problem and Boyle’s Conjecture.

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