Show that a ring of fractions and a quotient ring are isomorphic
42552
Localisation is isomorphic to a quotient of polynomial ring
60925
Why these are isomorphic each other for given these rings?
17978
Isomorphism classes of $\mathbb{Z}[i]$ modules.
129239
Additive quotient group $\mathbb{Q}/\mathbb{Z}$ is isomorphic to the multiplicative group of roots of unity
87160
Prove $\mathbb{Z}_3[x]/(x^2+1)$ and $\mathbb{Z}_3[x]/(x^2+x-1)$ are isomorphic.
33586
Prove the field of fractions of $F[[x]]$ is the ring $F((x))$ of formal Laurent series.
55902
Show $R[x]/(x)\cong R$
148550
Units in quotient ring of $\mathbb Z[X]$
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
150911
Prove that the ring is Artinian and find a composition series of ideals
130814
Quotient of semi-simple rings
82559
Showing two ring homomorphisms that agree on the integers must agree on the rationals
57031
Ring of fractions of $R$ is integral over $R$
38571
Localization of a total quotient ring of a reduced ring
1026
Ring homomorphism with $\phi(1_R) \neq1_S$
105913
Calculations in quotient rings
19838
Prove that in general the set of the right zero divisors is different from the set of left zero divisors in a ring R