List questions from algebras

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Confusion regarding the definition and generators of Borel $\sigma$-algebra

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$\mathcal{B}$ an algebra $\implies f^{-1}(\mathcal{B}) $ an algebra

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308

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The Direct Sum in The Definition of Tensor Algebra

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$\mathcal{A}:= \left\{\bigcup_{i \in I} A_i : I \subseteq \mathbb{N} \right\}$ sigma-algebra?

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$\Omega$ be a set $(A_n)_{n \in \mathbb{N}}$

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157

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Does Morita equivalence commute with tensor products or passing to polynomial rings?

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53

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Why is $C\ell$ functorial (why can we apply the appropriate universal property)?

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76

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Exercise about tensor product

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$\mathcal{B}$ is maximal Abelian subalgebra iff it concides with its commutant

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definition of $C^*$-subalgebra

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74

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Does taking covariant Hom commute with taking (co-)kernel?

Published on 25 Mar 2026 - 23:36

63

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Simple modules corresponding to vertices of a quiver with potential.

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118

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Base change to algebraic closure commutes with quotient of polynomial ring by maximal ideal

Published on 23 Feb 2026 - 19:22

393

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When does a Path Algebra give a unique Quiver?

Published on 26 Mar 2026 - 7:57

List Question

Good filtrations on $A_n(K)$ modules

Confusion regarding the definition and generators of Borel $\sigma$-algebra

$\mathcal{B}$ an algebra $\implies f^{-1}(\mathcal{B}) $ an algebra

The Direct Sum in The Definition of Tensor Algebra

$\mathcal{A}:= \left\{\bigcup_{i \in I} A_i : I \subseteq \mathbb{N} \right\}$ sigma-algebra?

$\Omega$ be a set $(A_n)_{n \in \mathbb{N}}$

Does Morita equivalence commute with tensor products or passing to polynomial rings?

Why is $C\ell$ functorial (why can we apply the appropriate universal property)?

Exercise about tensor product

$\mathcal{B}$ is maximal Abelian subalgebra iff it concides with its commutant

definition of $C^*$-subalgebra

Does taking covariant Hom commute with taking (co-)kernel?

Simple modules corresponding to vertices of a quiver with potential.

Base change to algebraic closure commutes with quotient of polynomial ring by maximal ideal

When does a Path Algebra give a unique Quiver?

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