Match the following
A. Groups I. Associativity
B. Semi groups II. Identity
C. Monoids III. Commutative
D. Abelian Groups IV Left inverse
Codes. A B C D
A. | IV I II III |
B. | III I IV II |
C. | II III I IV |
D. | I II III IV |
Option: A Explanation : Click on Discuss to view users comments. |
Let (Z, *) be an algebraic structure, where Z is the set of integers and the operation * is defined by n * m = maximum (n, m). Which of the following statements is TRUE for (Z, *) ?
A. | (Z, *) is a monoid |
B. | (Z, *) is an abelian group |
C. | (Z, *) is a group |
D. | None of these |
Option: D Explanation : Click on Discuss to view users comments. |
Some group (G, 0) is known to be abelian. Then which one of the following is TRUE for G ?
A. | g = g^{-1} for every g ∈ G |
B. | g = g^{2} for every g ∈ G |
C. | (g o h) ^{2} = g^{2}o h^{2 }for every g,h ∈ G |
D. | G is of finite order |
Option: C Explanation : Click on Discuss to view users comments. |