Principal $G$-bundles as pull back bundles.
59446
Universal property of universal bundles.
90862
Top cohomology and irreducible components
132653
How to show that $\mathfrak{sl}_n(\mathbb{R})$ and $\mathfrak{sl}_n(\mathbb{C})$ are simple?
101860
Relating the normal bundle and trivial bundles of $S^n$ to the tautological and trivial line bundles of $\mathbb{R}P^n$
92435
How to find two inequivalent ,but weakly equivalent bundles?
43170
inverse image of fiber product of scheme
76428
Exercise $2.1.1$ - Differential Topology by Guillemin and Pollack
37953
Primary Decomposition of $\mathbb{R^n}$ under T
99198
Principal ideal and free module
18540
Isomorphism from $\mathbb{C}[G]$ to $\prod_{i=1}^h M_{n_i}(\mathbb{C})$.
1531
Exercise from Geometry of algebraic curves by Arbarello, Cornalba, Griffiths, Harris
60674
Finitely generated idempotent ideals are principal: proof without using Nakayama's lemma
123024
A Noetherian integral domain is a UFD iff $(f):(g)$ is principal
115347
Showing that the fiber of a morphism of schemes over a point is homeomorphic to the preimage
113136
Generators of the ideal correspond to $d$-uple embedding
5599
Proving an inclusion for the derived group
92033
Prove that $g$ is a submanifold: $g (t,u,v) = (t^2,u^2,v^2,\sqrt{2}uv, \sqrt{2}tv,\sqrt{2}tu)$