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Everything about Injective hull
Notion in abstract algebra
In mathematics, particularly in algebra, the injective hull of a module is both the smallest injective module containing it and the largest essential extension of it. Injective hulls were first described in. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Injective hullA 5-minute orientation
- Skim a recent paper: Lipschitz closed injective hull ideals and Lipschitz interpolative idealsInfluential work since 2022
- Pick up a classic book: Matrix rings as injective hulls of torsion-free tidy ringsThe most-reprinted book on the subject
- Read the landmark paper: Finiteness of the injective hullCited 91 times
- Go sideways: Essential extensionA closely related topic
- Go sideways: Dense submoduleA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Finiteness of the injective hull
The injective hull of homotopy types with respect to generalized homology functors
A Non-Trivial Ring with Non-Rational Injective Hull
The Lipschitz injective hull of Lipschitz operator ideals and applications
Singular Submodule and Injective Hull
The Ultra-Quasi-Metrically Injective Hull of a T 0-Ultra-Quasi-Metric Space
Non-self-injective injective hulls with compatible multiplication
The ideal of Lipschitz classical p -compact operators and its injective hull
🆕 Influential since 2022
Lipschitz closed injective hull ideals and Lipschitz interpolative ideals
An Ehrling-type inequality for the closed injective hull of Bloch ideals
The injective hull of ideals of weighted holomorphic mappings
The Riemannian hemisphere is almost calibrated in the injective hull of its boundary
Injective Object and Injective Hull in the Category L-Top and L-Top 0
đź“š Books worth reading
- 📕Matrix rings as injective hulls of torsion-free tidy ringsVlastimil Dlab · 1972
Illustrations of Steam Machinery and Steam Naval ArchitectureTredgold, Thomas · 1843
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Essential extension In mathematics, specifically module theory, given a ring R {\displaystyle R} and an R {\displaystyle R} -module M {\displaystyle M} with a submodule N…
- Dense submodule In abstract algebra, specifically in module theory, a dense submodule of a module is a refinement of the notion of an essential submodule. If N is a dense…
- Maximal ideal In mathematics, more specifically in ring theory, a maximal ideal is a two-sided ideal that is maximal (with respect to set inclusion) amongst all proper…
- Injective module In mathematics, especially in the area of abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties…
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