I am a programmer with some algebra knowledge so I can understand mathematical stuff but I can not really speak in maths, so please be indulgent. My issue is:
Let R1(A,+,*) and R2(B,+,*) be two rings.
1st question : is it ok to assume that at least an isomorphism exists between them considering the fact that the intersection of A and B is never void, or do they need to be identical in order for that assumption to be undoubtable.
2nd question: at least intuitively do you think that an automated process given the right mathematical directives can find one isomorphism between those rings.
3rd where can I find some clear info on matrix rings?