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Algebra over a commutative ring
Definition
| $A$…R-module |
| $\langle A,[\cdot,\cdot]\rangle \in \mathrm{algebra}(A)$ |
| $[\cdot,\cdot] : A\times A\to A$ |
| $x,y,z\in A$ |
| $r,s\in R$ |
Bilinearity:
| $[r\cdot x+s\cdot y,z]=r\cdot [x,z]+s\cdot [y,z]$ |
| $[z,r\cdot x+s\cdot y]=r\cdot [z,x]+s\cdot [z,y]$ |
Discussion
Reference
Wikipedia: Algebra (Ring theory)
Context
Refinement of
