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Algebra ring theory - Algebra homomorphisms | | Algebra ring theory - Algebra homomorphisms: Encyclopedia II - 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 ...
See also:Algebra ring theory, Algebra ring theory - Formal definition, Algebra ring theory - Algebra homomorphisms, Algebra ring theory - Examples, Algebra ring theory - Constructions | | | 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 | | |
| | | Algebra ring theory: Encyclopedia II - Algebra ring theory - Algebra homomorphisms
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 where CRing is the category of commutative rings.
Other related archivesR-module, Commutative algebra, Ring theory, abelian groups, algebra over a field, associative, associative algebra, bilinear map, category, center, characteristic, commutative algebra, commutative ring, coproduct, coslice category, endomorphism ring, exterior, field, free, free R-algebra, free product, functor, homomorphism, ideal, left adjoint, mathematics, matrices, polynomial ring, quotient ring, ring, ring homomorphism, ring theory, submodule, subring, symmetric algebras, tensor algebra, tensor product, tensor product of algebras, unital
 Adapted from the Wikipedia article "Algebra homomorphisms", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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