Answered: 2. Let F be a field of order 16 and…

2. Let F be a field of order 16 and d,,d,,d, denotes the number of elements of multiplicative order 3, 5, 15 respectively, then which of the following is/ are (a) d,

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 9E: Let D be an integral domain with four elements, D=0,e,a,b, where e is the unity. a. Prove that D has...

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Question

2. Let F be a field of order 16 and d,,d,,d,
denotes the number of elements of
multiplicative order 3, 5, 15 respectively, then
which of the following is/ are
(a) d, <d, <d, (b) d <2d, =d,
(c) d, d,=d,
(d) d, +d, +d, s14

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