Which of the following statements is FALSE ?
A. | The set of rational numbers is an abelian group under addition |
B. | The set of rational integers is an abelian group under addition |
C. | The set of rational numbers form an abelian group under multiplication |
D. | None of these |
Option: C Explanation : Click on Discuss to view users comments. |
In the group G = {2, 4, 6, 8) under multiplication modulo 10, the identity element is
A. | 6 |
B. | 8 |
C. | 4 |
D. | 2 |
Option: A Explanation : Click on Discuss to view users comments. |
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. |