User Pace Nielsen

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Irreducibility of a polynomial

answered Jan 26, 2015 at 21:27

5 votes

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A Non-Commutative Nullstellensatz

answered Jan 28, 2015 at 20:08

5 votes

Can we prove that the ring of formal power series over a noetherian ring is noetherian without axiom of choice?

answered Jan 21, 2015 at 5:09

5 votes

Making a non-unital algebra the unique maximal one-sided ideal in a unital algebra

answered Feb 4, 2015 at 5:04

5 votes

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Reference request: Research done on whether the Euler prime can be the largest factor of an odd perfect number

answered Feb 12, 2015 at 16:53

5 votes

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Generators vs minimal degree polynomials of ideals

answered Feb 24, 2015 at 22:22

5 votes

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Is it improper to define matrices as being $n \times m$ rather than $m \times n$?

answered Sep 16, 2021 at 17:16

5 votes

$R$ is a UFD iff $R_{\frak{m}}$ is a UFD?

answered Jun 17, 2022 at 16:27

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If $p^k m^2$ is an odd perfect number with special prime $p$, then must $m^2 - p^k = s^2 - t^2$ hold for some $s$ and $t$?

answered Feb 15 at 16:41

4 votes

Left quasi-inverse elements: motivation

answered Jan 23 at 15:53

4 votes

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Do you know of any indecomposable ring that has no isolated elements and is neither reversible, nor integral, nor nilpotent, nor unitary?

answered Sep 21, 2022 at 22:46

4 votes

Is orientability a miracle?

answered Mar 14, 2022 at 21:54

4 votes

Applications of Zorn’s lemma that aren’t chain-complete/directed-complete?

answered Dec 9, 2022 at 23:33

4 votes

Ideals whose quotient rings have a certain property

answered Aug 16, 2022 at 23:22

4 votes

Calculate the great common factor between $2^{2n+1}-1$ and $2^{4m+2}+1$

answered May 16, 2023 at 16:07

4 votes

The most outrageous (or ridiculous) conjectures in mathematics

answered Oct 27, 2023 at 4:28

4 votes

Standard models of N and R: An Alice/Bob approach

answered Nov 20, 2023 at 0:37

4 votes

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presentations of subalgebras

answered Aug 4, 2015 at 13:07

4 votes

Ordering subsets of the cyclic group to give distinct partial sums

answered Apr 15, 2015 at 14:54

4 votes

What does the axiom of replacement mean and why should I believe it?

answered Jan 11, 2016 at 19:35

4 votes

Does $S_4$ inject into $SL(2,R)$ for some commutative ring $R$?

answered Nov 29, 2010 at 23:04

4 votes

On the prime $k$-tuple problem

answered Feb 3, 2012 at 19:53

4 votes

Geometric interpretation of matrix minors

answered Sep 12, 2011 at 18:53

4 votes

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An equation in the free associative ring

answered Jan 5, 2011 at 17:52

4 votes

"Oldest" bug in computer algebra system?

answered Sep 15, 2010 at 16:03

4 votes

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Can the trivial module be stably free for a monoid ring?

answered Aug 26, 2016 at 19:16

4 votes

ring structure on free abelian groups

answered Feb 15, 2017 at 21:31

4 votes

Examples of common false beliefs in mathematics

answered Jul 15, 2017 at 3:04

4 votes

Finding a compatible multiplication for a given group

answered Sep 4, 2017 at 18:11

4 votes

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In the von Neumann–Bernays–Gödel axiomatic system, the Axiom of Transposition can be simplified

answered Apr 8, 2020 at 20:13

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190 Answers

Irreducibility of a polynomial

A Non-Commutative Nullstellensatz

Can we prove that the ring of formal power series over a noetherian ring is noetherian without axiom of choice?

Making a non-unital algebra the unique maximal one-sided ideal in a unital algebra

Reference request: Research done on whether the Euler prime can be the largest factor of an odd perfect number

Generators vs minimal degree polynomials of ideals

Is it improper to define matrices as being $n \times m$ rather than $m \times n$?

$R$ is a UFD iff $R_{\frak{m}}$ is a UFD?

If $p^k m^2$ is an odd perfect number with special prime $p$, then must $m^2 - p^k = s^2 - t^2$ hold for some $s$ and $t$?

Left quasi-inverse elements: motivation

Do you know of any indecomposable ring that has no isolated elements and is neither reversible, nor integral, nor nilpotent, nor unitary?

Is orientability a miracle?

Applications of Zorn’s lemma that aren’t chain-complete/directed-complete?

Ideals whose quotient rings have a certain property

Calculate the great common factor between $2^{2n+1}-1$ and $2^{4m+2}+1$

The most outrageous (or ridiculous) conjectures in mathematics

Standard models of N and R: An Alice/Bob approach

presentations of subalgebras

Ordering subsets of the cyclic group to give distinct partial sums

What does the axiom of replacement mean and why should I believe it?

Does $S_4$ inject into $SL(2,R)$ for some commutative ring $R$?

On the prime $k$-tuple problem

Geometric interpretation of matrix minors

An equation in the free associative ring

"Oldest" bug in computer algebra system?

Can the trivial module be stably free for a monoid ring?

ring structure on free abelian groups

Examples of common false beliefs in mathematics

Finding a compatible multiplication for a given group

In the von Neumann–Bernays–Gödel axiomatic system, the Axiom of Transposition can be simplified