**MA8551 Important Questions ALGEBRA AND NUMBER THEORY**

MA8551 Important Questions ALGEBRA AND NUMBER THEORY Regulation 2017 Anna University free download. ALGEBRA AND NUMBER THEORY Important Questions MA8551 pdf free download.

**Sample MA8551 Important Questions ALGEBRA AND NUMBER THEORY**

1. Define group and State any two properties of a group. BTL -1 Remembering

2. Prove that identity element in a group is unique.

3. Find the idempotent elements of ???? = {1, −1, ????, −????} under the binary

operation multiplication

4. Let Z be a group of integers with binary operation * defined by

???? ∗ ???? = ???? + ???? − 2 for all ????, ???? ∈ ????. Find the identity element of the

group 〈????,∗〉. MA8551 Important Questions ALGEBRA AND NUMBER THEORY

5. Prove that if ???? is abelian group,

then for all ????, ???? ∈ ????, (???? ∗ ????)2 = ????2 ∗ ????2

6. Show that every cyclic group is abelian. BTL -2 Understanding

7. If ???? is a generator of a cyclic group????, then show that ????−1 is also a

generator of ????. MA8551 Important Questions ALGEBRA AND NUMBER THEORY

8. Show that (????5, +5) is a cyclic group. BTL -6 Creating

9. Find the left cosets of {[0], [3]} in the addition modulo group

(????6, +6).

10. State Lagrange’s theorem.

11. Prove that the order of an element ???? of a group ???? is the same as that of its inverse (????−1) MA8551 Important Questions ALGEBRA AND NUMBER THEORY

12. Define a ring and give an example BTL -1 Remembering

13. Define ring homomorphism and Ring Isomorphism BTL -1 Remembering

14. Define sub ring with example

15. Define ideal with example

16. In ????72 , find 25−1 MA8551 Important Questions ALGEBRA AND NUMBER THEORY

17. Find ???? such that 25???? ≡ 3????????????72

Subject name | ALGEBRA AND NUMBER THEORY |

Short Name | ANT |

Semester | 5 |

Subject Code | MA8551 |

Regulation | 2017 regulation |

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## 3 replies on “MA8551 Important Questions ALGEBRA AND NUMBER THEORY Regulation 2017 Anna University”

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