What is the difference between Ring, Field and Groups in abstract algebra?
91969
What are the differences between rings, groups, and fields?
77854
Which cyclotomic fields are different?
138911
Is $\mathbb R^2$ a field?
98387
How to solve polynomial equations in a field and/or in a ring?
132167
Choosing an abstract algebra text
120495
Does this correctly interpret the "$\cong$" between groups as "$=$" between sets?
78350
When does a finite ring become a finite field?
132317
linear algebra over a division ring vs. over a field
12110
How are $2\mathbb{Z}\ncong3\mathbb{Z}$ different as rings?
23760
In what kind of rings a divisor of a product is a product of divisors?
26483
Group algebra ever a field?
155445
What kind of ring $R$ makes $\mathcal O(\mathrm{Proj}\,R[x_0,\cdots,x_n])=R$?
72478
What is the isomorphism between the fields $(Z_2[x]^{<3},+_{x^3+x^2+1},\times_{x^3+x^2+1})$ and $(Z_2[x]^{<3},+_{x^3+x+1},\times_{x^3+x+1})$?
21079
Why must a field whose a group of units is cyclic be finite?
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
151423
Is there a nice description of the field of fractions of the ring of polynomials with integer coefficients?
5594
Question about the Euclidean ring definition