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- W4256178045 abstract "Publisher SummaryThis chapter discusses the categories satisfying the Grothendieck axiom A. B. 5 (herein called a “C3 category”). A number of the results are stated in the chapter. The chapter generalizes the Eckmann–Schopf theory of injective envelopes to abelian categories, satisfying the axiom C3. The chapter is also devoted to showing the existence of injective resolutions for C3 categories having a generator. The chapter also discusses injective envelopes. The chapter defines an essential extension of an object A' to be a monomorphism, u : A' → A, such that for any nonzero subobject A1 of A, the chapter has A' ∩ A1 ≠ 0." @default.
- W4256178045 created "2022-05-12" @default.
- W4256178045 date "1965-01-01" @default.
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- W4256178045 title "Chapter III Complete Categories" @default.
- W4256178045 doi "https://doi.org/10.1016/s0079-8169(08)62515-5" @default.
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