How to find the nature of elements in a quotient ring ,with ideal nonprincipal $\frac{\Bbb{Z}[X]}{(2,X)}$
61292
How to know which elements are in the Quotient Ring $\mathbb{Z}[x]/\langle x, 2\rangle$?
141687
Nonprincipal prime ideals contain two relatively prime elements
6121
Quotient ring of Gaussian integers
110984
Ideals and prime ideals in a commutative ring.
93773
How many elements are in the quotient ring $\frac{\mathbb Z_3[x]}{\langle 2x^3+ x+1\rangle} $
137610
Finding the field of fractions of a quotient of a polynomial ring.
30401
Determining the structure of the quotient ring $\mathbb{Z}[x]/(x^2+3,p)$
31933
$x^2 = 1$ in the ring $\mathbb{Z}/n \mathbb{Z}$
127030
Simple example of non-arithmetic ring (non-distributive ideal lattice)
31263
Quotient rings of Gaussian integers
57732
Rings of fractions and homomorphisms
52966
Rings, ideals and units-proof
37929
Classification of prime ideals of $\mathbb{Z}[X]$
17239
Find all ideals of ${\mathbb{Z}_n}$
108767
Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
512
Finding generator for the ideal generated by $a$ and $b$ in an euclidean domain
19310
Identify the ring $\mathbb{Z}[x]/(2x)$