G5096 - Algebra - Ideals and Homomorphisms of Rings 0.0 / 5 ? MathematicsAlgebraIdealsHomomorphisms of RingsUniversityNone Created by: callumdavidwattsCreated on: 03-01-17 16:20 35214 Across 1. Let f: R -> S be a ring homomorphism with kernal K. Then R/K≅Im f (11, 7) 4. Let U≠Ø be a subset of a ring (R,+,*). Then (U,+,*) is subring of (R,+,*) if and only if the following condititions hold: For all x,y∈U, x+(-y)∈U, and for all x,y∈U, x*y∈U (7, 4) Down 2. Any subring of a ring which consists of all multiples of a single element a∈R is an _________ ideal. (9) 3. A homomorphism f: R -> S is this if it is a bijection. (surjective and Ker f = {0}) (11) 5. A subring I of a ring R is called an _____ if it satisfies RI c I, that is, ri∈I for all r∈R and all i∈I (5)
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