◀ ▲ ▶Branches / Algebra / Definition: Algebra over a Ring
Definition: Algebra over a Ring
Let \((R, +,\cdot)\) and \((S,\ast,\circ)\) be commutative rings and let \(f:R\rightarrow S\) be a fixed ring homomorphism. Then \(S\) is called an \(R\)algebra or an algebra over the ring \(R\).
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 Definition: Integral Element
 Definition: Integral Closure
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References
Adapted from CC BYSA 3.0 Sources:
 Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of OsnabrÃ¼ck