User Pace Nielsen

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Problem 0.9.10 in Cohn's "Free Ideal Rings and Localization in General Rings" (CUP, 2006)

answered Mar 5, 2022 at 16:08

2 votes

Accepted

Problem 0.9.10 in Cohn's "Free Ideal Rings and Localization in General Rings" (CUP, 2006)

answered Mar 7, 2022 at 1:31

2 votes

Has incorrect notation ever led to a mistaken proof?

answered Nov 18, 2022 at 1:00

2 votes

Homomorphisms from projective modules

answered Feb 2, 2015 at 21:31

2 votes

Proving that a semigroup is regular

answered Dec 30, 2014 at 6:05

2 votes

Accepted

Division of multivariable polynomials by an ideal

answered Feb 23, 2016 at 4:53

2 votes

Subtle counterexample to $m\neq n$ but $R^m=R^n$ for some ring $R$ ?

answered Aug 24, 2010 at 17:53

2 votes

How can I calculate the expected ranking of a competitor from the probabilities of each competitor reaching first place?

answered Apr 27, 2010 at 16:37

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Maximal ideal that annihilates entire ring

answered Nov 4, 2010 at 23:52

2 votes

Other Ring Structures on $\mathbb{Q}$

answered Aug 31, 2011 at 18:38

2 votes

Omniscient bots gathering on $\mathbb{Z}^2$

answered Jan 20, 2012 at 20:04

2 votes

Best known bounds for a product over primes in an interval

answered Nov 29, 2016 at 20:14

2 votes

Zero -dimensional commutative semiprimitive rings

answered Mar 1, 2017 at 17:49

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When an intersection is contained in a minimal prime ideal

answered Jan 4, 2017 at 20:55

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For ideals, does normal imply countably complete?

answered Jun 9, 2021 at 20:02

2 votes

Accepted

Explicit Bézout cofactors

answered Dec 15, 2021 at 19:13

2 votes

Accepted

Is there a known counter-example to this rule?

answered Mar 5, 2021 at 2:42

2 votes

Is a vector space naturally isomorphic to its dual?

answered Nov 8, 2019 at 0:20

2 votes

Generalizing König's Lemma

answered Aug 29, 2019 at 8:41

1 vote

Annihilators and principal ideals: a characterization for a property of an element

answered Jul 29, 2019 at 7:14

1 vote

An example of a commutative ring with an annihilator condition

answered Mar 3, 2020 at 17:24

1 vote

On the notion of torsion-freeness in semigroup theory

answered Nov 23, 2020 at 21:39

1 vote

What are examples of mathematical objects that are 'constructed out of' a range of other objects but fall out of them?

answered May 14, 2021 at 18:48

1 vote

Using equational Jacobson condition to prove element lies in radical of ideal

answered Aug 23, 2021 at 15:39

1 vote

Every module of finite uniform dimension is a direct sum of (finitely many) indecomposable

answered Aug 5, 2021 at 16:51

1 vote

Examples of advance via good definitions

answered May 8, 2017 at 16:15

1 vote

Accepted

When is $rad(L)[x_1,\ldots]$ radical in $Ker(\varphi_\ast)$?

answered Dec 13, 2016 at 4:05

1 vote

Bounded Index of Nilpotency of $R[x]$

answered Nov 16, 2014 at 4:08

1 vote

Accepted

Is there a ring which is not Hermite but is coherent?

answered Dec 8, 2014 at 22:02

1 vote

How to prove these two rings are not isomorphic

answered Jul 8, 2010 at 19:05

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190 Answers

Problem 0.9.10 in Cohn's "Free Ideal Rings and Localization in General Rings" (CUP, 2006)

Problem 0.9.10 in Cohn's "Free Ideal Rings and Localization in General Rings" (CUP, 2006)

Has incorrect notation ever led to a mistaken proof?

Homomorphisms from projective modules

Proving that a semigroup is regular

Division of multivariable polynomials by an ideal

Subtle counterexample to $m\neq n$ but $R^m=R^n$ for some ring $R$ ?

How can I calculate the expected ranking of a competitor from the probabilities of each competitor reaching first place?

Maximal ideal that annihilates entire ring

Other Ring Structures on $\mathbb{Q}$

Omniscient bots gathering on $\mathbb{Z}^2$

Best known bounds for a product over primes in an interval

Zero -dimensional commutative semiprimitive rings

When an intersection is contained in a minimal prime ideal

For ideals, does normal imply countably complete?

Explicit Bézout cofactors

Is there a known counter-example to this rule?

Is a vector space naturally isomorphic to its dual?

Generalizing König's Lemma

Annihilators and principal ideals: a characterization for a property of an element

An example of a commutative ring with an annihilator condition

On the notion of torsion-freeness in semigroup theory

What are examples of mathematical objects that are 'constructed out of' a range of other objects but fall out of them?

Using equational Jacobson condition to prove element lies in radical of ideal

Every module of finite uniform dimension is a direct sum of (finitely many) indecomposable

Examples of advance via good definitions

When is $rad(L)[x_1,\ldots]$ radical in $Ker(\varphi_\ast)$?

Bounded Index of Nilpotency of $R[x]$

Is there a ring which is not Hermite but is coherent?

How to prove these two rings are not isomorphic