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Rings characterized by (pre)envelopes and (pre)covers of their modules ∗

✍ Scribed by Saorin, Manuel; Rada, Juan

Book ID
111907630
Publisher
Taylor and Francis Group
Year
1998
Tongue
English
Weight
676 KB
Volume
26
Category
Article
ISSN
0092-7872

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Envelopes and Covers by Modules of Finit
Envelopes and Covers by Modules of Finite Injective and Projective Dimensions
✍ S.Tempest Aldrich; Edgar E. Enochs; Overtoun M.G. Jenda; Luis Oyonarte 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 115 KB

In this paper, we study the existence of ⊥ -envelopes, -envelopes, ⊥ -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 ⊥ -preenvelopes and speci