List questions from examples-counterexamples

Published on 03 Oct 2016 - 10:13

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Prove or disprove: if $R$ and $S$ are two equivalence relations on a set $A$ then $R\cup S$ is also an equivalence relation.

Published on 01 Apr 2026 - 13:13

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Examples of Isbell-self-dual objects

Published on 26 Mar 2026 - 17:13

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Examples of field of fractions

Published on 26 Mar 2026 - 12:37

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Example of a bi dimensional process with Brownian marginals which is not a bi dimensional Brownian Motion

Published on 05 Oct 2016 - 12:49

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Which of the followings are true about improper integral?

Published on 05 Oct 2016 - 15:36

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Schur lemma counterexample (not simple module)

Published on 07 Oct 2016 - 13:31

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Is $ X^3 $ in $σ(X^2)? $ Is $ X^2 $ in $σ(X^3)? $

Published on 07 Oct 2016 - 21:46

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On increasing union of σ-algebras

Published on 08 Oct 2016 - 0:40

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Other example of non continuous derivative

Published on 08 Oct 2016 - 14:05

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Is there a decreasing sequence of sets in $\mathbb{R}^{n}$ with these outer-measure properties?

Published on 25 Mar 2026 - 22:11

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Modules over Group algebra / representations example

Published on 09 Oct 2016 - 18:07

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Is $\oplus_{\mathbb{N}}\mathbb{Z}_2$ Artinian but not Noetherian?

Published on 25 Mar 2026 - 11:01

283

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Strictly centralizer and normalizer

Published on 11 Oct 2016 - 1:45

649

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Example of a naturally ordered semiring which is not an m-semiring

Published on 25 Mar 2026 - 12:54

List Question

An example of a not locally bounded convex function

Prove or disprove: if $R$ and $S$ are two equivalence relations on a set $A$ then $R\cup S$ is also an equivalence relation.

Examples of Isbell-self-dual objects

Examples of field of fractions

Example of a bi dimensional process with Brownian marginals which is not a bi dimensional Brownian Motion

Which of the followings are true about improper integral?

Schur lemma counterexample (not simple module)

Is $ X^3 $ in $σ(X^2)? $ Is $ X^2 $ in $σ(X^3)? $

On increasing union of σ-algebras

Other example of non continuous derivative

Is there a decreasing sequence of sets in $\mathbb{R}^{n}$ with these outer-measure properties?

Modules over Group algebra / representations example

Is $\oplus_{\mathbb{N}}\mathbb{Z}_2$ Artinian but not Noetherian?

Strictly centralizer and normalizer

Example of a naturally ordered semiring which is not an m-semiring

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