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Everything about Finitely generated module
In algebra, module with a finite generating set
In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated module over a ring R may also be called a finite R-module, finite over R, or a module of finite type. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Finitely generated moduleA 5-minute orientation
- Skim a recent paper: On projectivity of finitely generated modulesInfluential work since 2022
- Pick up a classic book: Ring theory and its applicationsThe most-reprinted book on the subject
- Read the landmark paper: Fuzzy finitely generated modulesCited 42 times
- Go sideways: Glossary of commutative algebraA closely related topic
- Go sideways: Torsion (algebra)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Fuzzy finitely generated modules
Every ∗-Module Is Finitely Generated
When every finitely generated flat module is projective
Modules over the endomorphism ring of a finitely generated projective module
When every projective module is a direct sum of finitely generated modules
On the ring of endomorphisms of a finitely generated multiplication module
The Euler characteristic of a finitely generated module of finite injective dimension
Minimal free resolution of a finitely generated module over a regular local ring
🆕 Influential since 2022
📚 Books worth reading
- 📕Ring theory and its applicationsRing Theory Session · 2014
- 📕Groups, algebras and applicationsLatin American Algebra Colloquium (18th 2009 São Pedro, São Paulo, Brazil) · 2011
- 📕Spaces of constant curvatureJoseph Albert Wolf · 2011
- 📕Groups, Rings, Group Rings, and Hopf AlgebrasJeffrey Bergen, Stefan Catoiu · 2017
- 📕Introduction to orthogonal, symplectic, and unitary representations of finite groupsC. R. Riehm · 2011
Trends in number theoryFernando Chamizo · 2015
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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