Integral Elements form a Ring
48977
Polynomials having as roots the sum (respectively, the product) of two algebraic elements
112099
Polynomial ring with integral coefficients is integral
108896
Prime ideal in a polynomial ring over an integrally closed domain
62951
Is there a more direct way of proving that this ring is an integral domain?
134458
Isomorphisms preserving integral domains and fields
587
Ideal Generated by the Union of Two Ideals
28313
Intermediate ring between a field and an algebraic extension.
92822
Finite number of elements generating the unit ideal of a commutative ring
87382
Non-invertible elements form an ideal
42170
$R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element
11573
Rings and some of their properties
61491
Complex Ring Isomorphism
143051
Inverting noninvertible elements in a bigger ring.
132193
Why $\Bbb Z$ = (integers) is an integral domain?
132289
Associates in Integral Domain
24247
Ring Inside an Algebraic Field Extension
157585
Structure theorem of finite rings