Abstract:
We study the rings and ideals in linear algebra and
homomorphism and given some theorems and examples,
and we define the quotient rings, algebra of ideals . The
ideal in a linear algebra .
We also study the iterated algebra extension in finite
fields. We defined also Gaussian integers ,irreducible
integers and a monic polynomial .
Finally we study the Galois group, the splitting field
and separable field normal extension.
