Division ring and vector space
132317
linear algebra over a division ring vs. over a field
57732
Rings of fractions and homomorphisms
115541
Subrings of polynomial rings over the complex plane
41629
Structure of ideals in the product of two rings
111493
Division algorithm for polynomials in R[x], where R is a commutative ring with unity.
154724
Every vector space has a basis
87946
Proving that the unities of a ring form a group under multiplication
63192
A chain ring with Krull dimension greater than one
74441
Zero divisors in matrix rings
38028
finitely generated k-algebra and polynomial ring
21840
Zero divisors and units for the ring $\mathbb{Z}/n\mathbb{Z}$ with integer $n$
105887
Ring and Subring with different Identities
52596
A basis for $k(X)$ regarded as a vector space over $k$
97999
Explain these ring isomorphisms
10908
Associated elements in a ring
120344
Are there nontrivial vector spaces with finitely many elements?
100340
Invariant dimension property on a ring without zero divisors