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Terminology for a ring satisfying the DCC on chains of principal right ideals generated by the powers of an element

answered Jun 9, 2021 at 21:42

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Do $r(a) \leq^\oplus R$ and $r(a) = r(a^2)$ imply $r(a) = eR$ and $r(1-a) \subseteq (1-e)R$ for some idempotent $e$?

answered Jun 9, 2021 at 22:15

3 votes

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The existence of two maximal ideals with the same set of idempotents

answered Aug 14, 2021 at 5:51

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Ehrlich's Characterization of Unit Regular Elements

answered May 18, 2021 at 20:52

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Bounded gaps between powers

answered May 16, 2017 at 7:34

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How many multiplications are needed to generate a matrix algebra?

answered Feb 2, 2017 at 14:05

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Commutative inner inverse for non-unital strongly regular ring

answered Apr 7, 2017 at 19:34

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Example of noncommutative central reduced rings which is not reduced

answered Apr 17, 2016 at 18:49

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Bimodules of fractions

answered Jul 20, 2016 at 18:44

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Whether a given algebra is the algebra of endomorphisms for a vector space

answered Aug 23, 2016 at 3:00

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Are there any nonzero rational solutions to this equation?

answered Oct 3, 2016 at 2:03

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Jacobson radical of group algebra

answered Nov 11, 2016 at 21:10

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Is the covering efficiency relation transitive?

answered Dec 5, 2016 at 22:20

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Factorizing polynomials in $\mathbf{Z}[[x]]$

answered Feb 22, 2011 at 19:43

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Philosophical Question related to Largest Known Primes

answered Apr 25, 2011 at 20:20

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Sum of two unitary matrix is equal to every matrix?

answered Aug 23, 2010 at 20:11

3 votes

Character sums over prime arguments

answered Jul 1, 2010 at 18:02

3 votes

Definition of a normed ring

answered Nov 29, 2015 at 2:56

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The injective hull of cyclic modules and self injective ring

answered Mar 21, 2016 at 14:28

3 votes

Has this formula for $G_{k}:=\lim\inf_{n\to\infty}p_{n+k}-p_{n}$ been conjectured?

answered Apr 28, 2015 at 2:07

3 votes

Non-commutative normalization

answered Dec 30, 2014 at 18:53

3 votes

Semiprime (but not prime) ring whose center is a domain

answered Jan 29, 2015 at 2:58

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The scope of a "strong Cantor-Bernstein" property

answered May 22, 2023 at 1:07

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Estimate for the $2n$-th consecutive prime number

answered Apr 25, 2023 at 17:09

3 votes

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Rings s.t. each element has a power lying in the center (and their completely prime ideals)

answered Jan 11, 2022 at 19:14

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Properties of Jech's hierarchy of stationary sets (Exercise 8.13, 8.14 of Jech)

answered May 2, 2022 at 15:54

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Does there exist a polynomial 𝑃(𝑥,𝑦) which detects all non-squares?

answered Oct 21, 2022 at 21:43

3 votes

Tips for reading arXiv papers in mathematics

answered Feb 7 at 17:50

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Lemma of Harada and Sai on sums of modules with a "chain" of monomorphisms between them

answered Jul 27 at 16:14

2 votes

Cancellation of irreducibility for Galois conjugates

answered May 4, 2022 at 19:18

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190 Answers

Terminology for a ring satisfying the DCC on chains of principal right ideals generated by the powers of an element

Do $r(a) \leq^\oplus R$ and $r(a) = r(a^2)$ imply $r(a) = eR$ and $r(1-a) \subseteq (1-e)R$ for some idempotent $e$?

The existence of two maximal ideals with the same set of idempotents

Ehrlich's Characterization of Unit Regular Elements

Bounded gaps between powers

How many multiplications are needed to generate a matrix algebra?

Commutative inner inverse for non-unital strongly regular ring

Example of noncommutative central reduced rings which is not reduced

Bimodules of fractions

Whether a given algebra is the algebra of endomorphisms for a vector space

Are there any nonzero rational solutions to this equation?

Jacobson radical of group algebra

Is the covering efficiency relation transitive?

Factorizing polynomials in $\mathbf{Z}[[x]]$

Philosophical Question related to Largest Known Primes

Sum of two unitary matrix is equal to every matrix?

Character sums over prime arguments

Definition of a normed ring

The injective hull of cyclic modules and self injective ring

Has this formula for $G_{k}:=\lim\inf_{n\to\infty}p_{n+k}-p_{n}$ been conjectured?

Non-commutative normalization

Semiprime (but not prime) ring whose center is a domain

The scope of a "strong Cantor-Bernstein" property

Estimate for the $2n$-th consecutive prime number

Rings s.t. each element has a power lying in the center (and their completely prime ideals)

Properties of Jech's hierarchy of stationary sets (Exercise 8.13, 8.14 of Jech)

Does there exist a polynomial 𝑃(𝑥,𝑦) which detects all non-squares?

Tips for reading arXiv papers in mathematics

Lemma of Harada and Sai on sums of modules with a "chain" of monomorphisms between them

Cancellation of irreducibility for Galois conjugates