Assignment:
Let delta=sqrt(-3) and R=Z[delta]. This is not the ring of integers in the imaginary quadratic number field Q[delta]. Let A be the ideal (2,1+delta).
a) Show that A is a maximal ideal and identify the quotient ring R/A.
b) Show that A contains the principal ideal (2) but that A does not divide (2).
Provide complete and step by step solution for the question and show calculations and use formulas.