List questions from universal-property

Published on 12 Apr 2026 - 9:06

399

Views

Describing the universal property of the evaluation map

Published on 20 Apr 2026 - 6:50

812

Views

Free vector spaces and construction of Tensor Product

Published on 15 Apr 2026 - 16:42

181

Views

Polynomial Rings "Most Efficient" Ring?

Published on 25 Mar 2026 - 23:34

121

Views

Are "free products" just coproducts in categories admitting presentations of objects (generators and relators)?

Published on 10 May 2026 - 15:47

175

Views

A property of pullbacks I cannot prove!

Published on 09 Apr 2026 - 15:03

76

Views

Are the categories $U(\mathfrak{g})$-$\mathrm{mod}$ and $\mathfrak{g}$-$\mathrm{rep}$ equivalent?

Published on 26 Mar 2026 - 1:02

402

Views

free group quotient by its commutator is a free abelian group via universal property

Published on 26 Mar 2026 - 1:16

531

Views

Proof that the exterior power fulfils an universal property using tensor product

Published on 12 Apr 2026 - 19:21

293

Views

Proving the inclusion map of an integral domain into its quotient field is an epimorphism

Published on 18 Apr 2026 - 23:04

603

Views

Direct product of groups has inclusions, but it's still not the free product (coproduct)?

Published on 13 Apr 2026 - 17:58

566

Views

Universal properties of kernel and equalizer

Published on 26 Mar 2026 - 0:58

20

Views

Can I generalize this property to hold for unimodal distributions

Published on 26 Mar 2026 - 1:10

184

Views

Homomorphisms from $\prod_{i\in\mathbb Z}\mathbb Z $ to $\oplus_{i\in\mathbb Z}\mathbb Z$ that fixes $\oplus_{i\in\mathbb Z}\mathbb Z$

Published on 26 Mar 2026 - 1:25

121

Views

Is the standard definition of tensor product an effective way to introduce it?

Published on 09 Apr 2026 - 3:45

List Question

Question on coproducts and products

Describing the universal property of the evaluation map

Free vector spaces and construction of Tensor Product

Polynomial Rings "Most Efficient" Ring?

Are "free products" just coproducts in categories admitting presentations of objects (generators and relators)?

A property of pullbacks I cannot prove!

Are the categories $U(\mathfrak{g})$-$\mathrm{mod}$ and $\mathfrak{g}$-$\mathrm{rep}$ equivalent?

free group quotient by its commutator is a free abelian group via universal property

Proof that the exterior power fulfils an universal property using tensor product

Proving the inclusion map of an integral domain into its quotient field is an epimorphism

Direct product of groups has inclusions, but it's still not the free product (coproduct)?

Universal properties of kernel and equalizer

Can I generalize this property to hold for unimodal distributions

Homomorphisms from $\prod_{i\in\mathbb Z}\mathbb Z $ to $\oplus_{i\in\mathbb Z}\mathbb Z$ that fixes $\oplus_{i\in\mathbb Z}\mathbb Z$

Is the standard definition of tensor product an effective way to introduce it?

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