Cohomology ring of $\mathbb{R}P^\infty$ with integral coefficients.
39728
integral cohomology ring of real projective space
152200
Is the space of smooth sections of a vector bundle finitely generated as a $C^\infty$-module?
7828
Proof that an integral domain that is a finite-dimensional $F$-vector space is in fact a field
150986
For a Noetherian ring $R$, we have $\text{Ass}_R(S^{-1}M)=\text{Ass}_R(M)\cap \{P:P\cap S=\emptyset\}$
62951
Is there a more direct way of proving that this ring is an integral domain?
1026
Ring homomorphism with $\phi(1_R) \neq1_S$
157378
On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions
53176
Intuitive Approach to de Rham Cohomology
101860
Relating the normal bundle and trivial bundles of $S^n$ to the tautological and trivial line bundles of $\mathbb{R}P^n$
4163
Schauder basis of $(c,\|\cdot\|_{\infty})$
40705
If $M$ is an $R$-module and $I\subseteq\mathrm{Ann}(M)$ an ideal, then $M$ has a structure of $R/I$-module
141410
Injective integral domains are fields
36987
A criterion of flat modules
142699
Is $R/N(R)$ a faithfully flat $R$-module?
74974
When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
22544
Let R be a commutative ring, and let P be a prime ideal of R. Suppose that P has no nontrivial zero divisors in it. Show that R is an integral domain.
145351
Ring of formal power series over a principal ideal domain is a unique factorisation domain