Injective envelopes and flat covers of Matlis reflexive modules
β Scribed by Richard G. Belshoff; Jinzhong Xu
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 582 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0022-4049
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π SIMILAR VOLUMES
In this paper, we study the existence of β₯ -envelopes, -envelopes, β₯ -envelopes, -covers, and -covers where and denote the classes of modules of injective and projective dimension less than or equal to a natural number n, respectively. We prove that over any ring R, special β₯ -preenvelopes and speci
In the general setting of Grothendieck categories with enough projectives, we prove theorems that make possible to restrict the study of the problem of the existence of -covers and envelopes to the study of some properties of the class . We then prove the existence of flat covers and cotorsion envel
In [K. R. Fuller, on indecomposable injectives over artinian rings, Pacific J. Math. 29 (1969), 115-135, Theorem 3.1] K. R. Fuller gave necessary and sufficient conditions for projective left modules to be injective over a left artinian ring. In [Y. Baba and K. Oshiro, On a theorem of Fuller, prepri