Category:Modules
From Queer Beagle Wiki
Let \(R\) be a ring with \(1\neq0\).
A Left \(R\)-mod is an abelian group \((M,+)\) together with an action of \(R\) on \(M\), \(R\times M \to M\), such that for all \(r,s\in R\), \(m,n\in M\):
- \((r+s)m=rm+sm\)
- \((rs)m=r(sm)\)
- \(r(m+n)=rm+rn\)
- \(1\cdot m=m\)
Pages in category "Modules"
The following 2 pages are in this category, out of 2 total.
