Algebra ring theory, Algebra ring theory - Algebra homomorphisms, Algebra ring theory - Constructions, Algebra ring theory - Examples, Algebra ring theory - Formal definition, algebra over a field, associative algebra, commutative algebra
ARTICLES RELATED TO Algebra ring theory - Algebra homomorphisms
An algebra homomorphism between two R-algebras is just an R-linear ring homomorphism. Explicity, is an algebra homomorphism if
The class of all R-algebras together with algebra homomorphisms between them form a category, sometimes denoted R-Alg.
The subcategory of commutative R-algebras can be characterized as the coslice category R/CRing ...
Let R be a commutative ring. An R-algebra is a set A which has the structure of both a ring and an R-module in such a way that ring multiplication is an R-bilinear map. Explicity, we must have
If A itself is commutative (as a ring) then it is called a commutative R-algebra.
Starting with an R-module A, we get an R-algebra by equipping A with an R-bilinear map A × A< ...
