## MA8551 Algebra and Number Theory

** MA8551 Algebra and Number Theory MCQ Multi Choice Questions, **Lecture Notes, Books, Study Materials, Question Papers, Syllabus

**with answers**

**Part-A 2 marks**

**MA8551 Algebra and Number Theory**

**MCQ Multi Choice Questions,**

**Important**

**Subjects****, PDF Books, Question Bank with answers Key And MCQ Question & Answer, Unit Wise Important Question And Answers, One Mark Question With Answers, Choose The Best Answer.**

**Part-B 16 marks Questions**Download link is provided for Students to download the Anna University **MA8551 Algebra and Number Theory**** **** ****MCQ Multi Choice Questions,**** ****Lecture Notes, Books, Study Materials, Question Papers,****Syllabus**** Part A 2 marks with answers & Part B 16 marks Question, Question Bank with answers**,

**MCQ Question & Answer, Unit Wise Important Question And Answers, One Mark Question With Answers, Choose The Best Answer.**All the materials are listed below for the students to make use of it and score good (maximum) marks with our study materials.

Subject Details

SEMESTER : |
05 |

SUBJECT CODE : |
MA8551 |

SUBJECT NAME : |
Algebra and Number Theory |

DEPARTMENT : |
Computer Science and Engineering (CSE) |

YEAR : |
Third Year (III Year) |

REGULATION : |
2017 |

CONTENT : |
Syllabus, Lecture Notes, Important Part-A 2 Marks Questions and Important Part-B 16 Mark Questions, Previous Years Question Papers Collections and Question Banks. |

**“MA8551 Algebra and Number Theory**** **** ****MCQ Multi Choice Questions”**

*“ MA8551 Algebra and Number Theory Notes,Lecture Notes Previous Years Question Papers”*

*“ MA8551 Algebra and Number Theory Important 16 marks Questions with Answers”*

*“ MA8551 Algebra and Number Theory Important 2 marks Questions with Answers”*

*“ MA8551 Algebra and Number Theory Important Part A & Part B Questions”*

*“ MA8551 Algebra and Number Theory Syllabus, Local Author Books, Question Banks”*

## MA8551 Algebra and Number Theory **MCQ Multi Choice Questions, Lecture Notes & Part-A & Part-B Important Questions with Answers**

## Syllabus

## MA8551 Algebra and Number Theory

#### UNIT I GROUPS AND RINGS

#### Groups : Definition – Properties – Homomorphism – Isomorphism – Cyclic groups – Cosets – Lagrange’s theorem. Rings: Definition – Sub rings – Integral domain – Field – Integer modulo n – Ring homomorphism.

#### UNIT II FINITE FIELDS AND POLYNOMIALS

#### Rings – Polynomial rings – Irreducible polynomials over finite fields – Factorization of polynomials over finite fields.

#### UNIT III DIVISIBILITY THEORY AND CANONICAL DECOMPOSITIONS

#### Division algorithm – Base – b representations – Number patterns – Prime and composite numbers – GCD – Euclidean algorithm – Fundamental theorem of arithmetic – LCM.

#### UNIT IV DIOPHANTINE EQUATIONS AND CONGRUENCES

#### Linear Diophantine equations – Congruence‘s – Linear Congruence‘s – Applications: Divisibility tests – Modular exponentiation-Chinese remainder theorem – 2 x 2 linear systems.

#### UNIT V CLASSICAL THEOREMS AND MULTIPLICATIVE FUNCTIONS

#### Wilson‘s theorem – Fermat‘s little theorem – Euler‘s theorem – Euler‘s Phi functions – Tau and Sigma functions.

**Click the Below link ****“DOWNLOAD”**** to save the Book/Material (PDF)**

## MA8551 Algebra and Number Theory MCQ Collections

**MA8551 MCQ Collection 01 – DOWNLOAD**

**MA8551 MCQ Collection 02 – DOWNLOAD**

**MA8551 Algebra and Number Theory **Notes Collection

**MA8551 Algebra and Number Theory**

**MA8551 Notes Collection 01 – DOWNLOAD**

**MA8551 Notes Collection 02 – DOWNLOAD**

#### MA8551 Algebra and Number Theory Important Questions Collection

**MA8551 IMPORTANT QUESTIONS – DOWNLOAD**

MA8551 Algebra and Number Theory Question Papers Collection

**MA8551 Last 5 Years Question Papers Collection – DOWNLOAD **

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