Show that if f 1 , f 2 , ,f r are elements of a commutative ring R with unity, then I c 1 f 1 c 2 f 2 c r f r c i I for i 1,,r is an ideal of R ...

Additive closure With c i d i R for i 1 2 r we have c 1 f 1 c 2 f 2 c r f r d 1 f ...

Show that if f 1 , f 2 , ,f r are elements of a commutative ring

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Show that if f₁, f₂, ···,f_r are elements of a commutative ring R with unity, then I= {c₁f₁ + c₂f₂ + • • • + c_rf_r|c_i ∈ I for i = 1,···,r}is an ideal of R.

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A First Course In Abstract Algebra

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7th Edition

Authors: John Fraleigh

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Show that if f 1 , f 2 , ,f r are elements of a commutative ring

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Additive closure With c i d i R for i 1 2 r we have c 1 f 1 c 2 f 2 c r f r d 1 f ...View the full answer

A First Course In Abstract Algebra

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