Define on R the operation * by x*y = X+y+k, for all x,y element of R and k is fixed real number. The (R,*) is a O monoid O group O groupoid semigroup

Define on R the operation * by xy = X+y+k, for all x,y element of R and k is fixed real number. The (R,) is a O monoid O group O groupoid semigroup

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.5: Isomorphisms

Problem 12E: Exercises 12. Prove that the additive group of real numbers is isomorphic to the multiplicative...

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Question

Define on R the operation * by x*y =
X+y+k, for all x,y element of R and k is
fixed real number. The (R,*) is a
O monoid
O group
O groupoid
semigroup

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