Syllabus For The Subject ALGEBRA II

UNIT - 01

EXTENSION FIELDS - ROOTS OF POLYNOMIALS AND MORE ABOUT ROOTS.

UNIT - 02

TREATMENTS OF GALOIS THEORY.

UNIT - 03

SOLVABILITY RADICALS.

UNIT - 04

THE ALGEBRA OF LINEAR TRANSFORMATION.

UNIT - 05

CHARACTERISTIC ROOTS - MATRICES CANONICAL FORMS AND TRIANGULAR FORMS.

UNIT - 06

NIL POTENT TRANSFORMATION AND THEIR CANONICAL FORMS.

UNIT - 07

RATIONAL CANTICLE FORMS TRACE AND TRANSPOSE.

UNIT - 08

DETERMINANTS, HERMIT IAN, UNITARY AND NORMAL TRANSFORMATION.

UNIT - 09

QUADRATIC FORMS FINITE FIELDS.

UNIT - 10

WEDDER BURN`S THEOREM.

UNIT - 11

THE FINITE DIVISION RINGS.

Vinayaka Missions University,Directorate of Distance Education

Salem India

MASTER OF SCIENCE IN MATHEMATICS

2 Yr.

ALGEBRA II(2030509)

 

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