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Name: Please help solve this. Thank you. Let I be a central ideal ofL (i.e.
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Description: Please help solve this. Thank you. Let I be a central ideal ofL (i.e. I is contained in the centre Z(L)). Prove that ifL/I is nilpotent, then L is nilpotent as well.

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Let I be a central ideal of L (i.e. I is contained in the centre Z(L)). Prove that if L/I is nilpotent, then L is nilpotent as well.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.1: Ideals And Quotient Rings

Problem 14E: 14. Let be an ideal in a ring with unity . Prove that if then .

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