Any module is the union of the directed set of its finitely generated submodules. More generally, an algebra (e.g., ring) that is a finitely generated module is a finitely generated algebra.

In abstract algebra, an abelian group (G, +) {\displaystyle (G,+)} is called finitely generated if there exist finitely many elements x 1, …, x s {\displaystyle x_{1},\dots ,x_{s}} in G {\displaystyle ...

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On the automorphism-invariance of finitely generated ideals and formal matrix rings. Filomat, Vol. 37, Issue. 29, p. 9961. Thuyet, Le Van and Quynh, Truong Cong 2024. On Automorphism-invariant ...

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Note: this initializes a git repository in your_project_name. with a similar or larger number. Now try adding import Mathlib or a more specific import to a project file. This should take insignificant ...

Commutators originated over 100 years ago as a by-product of computing group characters of nonabelian groups. They are now an established and immensely useful tool in all of group theory. Commutators ...