List questions from injective-module | MathQa

Proper essential extensions

Published on 13 Jan 2025 - 2:28

Basic topology proof regarding injection being equal to intersection property for two subsets

Published on 12 Jan 2025 - 22:54

Injectives realized as limits in some appropriate category

Published on 13 Jan 2025 - 2:37

Direct sums of modules versus products

Published on 13 Jan 2025 - 0:49

If $A$ and $B$ are summands of injective module $Q$ then $A+B$ is a sumand of $Q$.

Published on 12 Jan 2025 - 22:49

For this function, is f is injective?

Published on 12 Jan 2025 - 22:24

Show by an explicit example that the function $h$ given is not injective and is surjective

Published on 12 Jan 2025 - 22:53

Can you prove that over a division ring , every module is both projective and injective?

Published on 12 Jan 2025 - 22:53

$\mathrm{Ann}(I \cap J) = \mathrm{Ann}(I) +\mathrm{Ann}(J)$ if $R$ is self-injective

Published on 12 Jan 2025 - 22:47

Is it true that taking injective hull commutes with the tensor product?

Published on 12 Jan 2025 - 22:49