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(a) (N,), a 2. (b) (C\{0},), a = i. (c) (Z2×2,), a = [7]. (d) (R³, +), a = (1, −1, 1, −1, 1, . . .). (e) (Z2, ), a = 0.

(a) (N,), a 2. (b) (C\{0},), a = i. (c) (Z2×2,), a = [7]. (d) (R³, +), a = (1, −1, 1, −1, 1, . . .). (e) (Z2, ), a = 0.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.2: Real Numbers
Problem 5E
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In which of the listed semigroups with identity is the element a invertible and has finite order?

 

(a) (N, ), a 2. (b) (C\ {0}, ), a = i. (c) (Z2×2,), a = [47]. (d) (R,+), a = (1, −1, 1, −1, 1, ...). (e) (Z2, ), a 0.
Transcribed Image Text:(a) (N, ), a 2. (b) (C\ {0}, ), a = i. (c) (Z2×2,), a = [47]. (d) (R,+), a = (1, −1, 1, −1, 1, ...). (e) (Z2, ), a 0.
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