Ring Theory (XXIX)
By:- Thokchom Sarojkumar Sinha
Prove that is irreducible over the field of integers mod
and prove directly that is a field having 121 elements.
Solution:- Here .
The field is .
Let , the ring of polynomials having coefficients in .
is a factor of if and only if for some .
Irreducible polynomials are investigated in this solution, which is detailed and well presented.