1: (Binomial theorem). Lat R be a ring with identity, na pozihve intoger, and a,b, a, ag--- Ag ER TA ab = ba then. %3D atb)" ka b

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 7E
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PLEASE USE BINOMIAL THEOREM
Pe the fundametal thearn of anthontic ifadefien by ampuing the
rove
goup
In.
ntUne therem G) to show That a° =0, b" =0 D atb)
m 1: (Binomizl fheorum). Lat R be a ring with identily, na poztive intfeger, and
a,b, a, a--- ag ER
f ab = ba then
atb)"
If a,a; = Aj Q; for all i and j, ken
To
%3D
kher the un
(a ta,t.. ag)
over all stuples ( -ig) nuch that i, tist.tg=n
mo
Transcribed Image Text:Pe the fundametal thearn of anthontic ifadefien by ampuing the rove goup In. ntUne therem G) to show That a° =0, b" =0 D atb) m 1: (Binomizl fheorum). Lat R be a ring with identily, na poztive intfeger, and a,b, a, a--- ag ER f ab = ba then atb)" If a,a; = Aj Q; for all i and j, ken To %3D kher the un (a ta,t.. ag) over all stuples ( -ig) nuch that i, tist.tg=n mo
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