Question

Easy counterexamples for each containment $Field\subsetneq ED \subsetneq PID \subsetneq UFD \subsetneq GCD \subsetneq Integral\space Domain$

score 320 · Answer 1 · 2019-06-03 14:02:05

320

Views

Easy counterexamples for each containment $Field\subsetneq ED \subsetneq PID \subsetneq UFD \subsetneq GCD \subsetneq Integral\space Domain$

Published on 03 Jun 2019 - 14:02

score 39 · Answer 2 · 2026-03-26 11:18:29

39

Views

Examples of commutative semirings satisfying $kb = hb + r \ \; \text{ iff } \; k = h \text{ and } r = 0$.

Published on 26 Mar 2026 - 11:18

score 48 · Answer 3 · 2019-06-04 10:37:04

48

Views

Any algebraic function that can be expanded as infinite series with unbounded positive integral coefficients?

Published on 04 Jun 2019 - 10:37

score 141 · Answer 4 · 2019-06-04 12:23:03

141

Views

$\{f_n \}$ is equicontinuous and pointwise converge to f is f uniformly continuous?

Published on 04 Jun 2019 - 12:23

score 1.1k · Answer 5 · 2026-03-27 17:50:24

1.1k

Views

Example of non regular surface

Published on 27 Mar 2026 - 17:50

score 601 · Answer 6 · 2026-03-27 21:23:51

601

Views

Example of an experiment in which A, B, C are independent, but not pairwise independent

Published on 27 Mar 2026 - 21:23

score 275 · Answer 7 · 2026-02-23 04:49:58

275

Views

Undecidable cardinality

Published on 23 Feb 2026 - 4:49

score 141 · Answer 8 · 2019-06-06 18:42:41

141

Views

Construct $X$ s.t. it has a dense subset but elements in the complement of the subset have no sequence in the subset converging to them

Published on 06 Jun 2019 - 18:42

score 118 · Answer 9 · 2026-03-25 06:10:55

118

Views

Nice refinement of an inequality by Michael Rozenberg

Published on 25 Mar 2026 - 6:10

score 482 · Answer 10 · 2019-06-07 13:56:40

482

Views

Counterexample of Second fundamental theorem of Calculus if f is not continuous

Published on 07 Jun 2019 - 13:56

score 90 · Answer 11 · 2019-06-07 22:17:30

90

Views

Does a countable integral domain have only finitely many maximal ideals?

Published on 07 Jun 2019 - 22:17

score 171 · Answer 12 · 2026-03-26 20:18:50

171

Views

Nice olympiad inequality

Published on 26 Mar 2026 - 20:18

score 368 · Answer 13 · 2019-06-08 17:43:20

368

Views

Center of a group with order $p^aq^b$

Published on 08 Jun 2019 - 17:43

score 48 · Answer 14 · 2019-06-10 08:54:06

48

Views

Find a group epimorphism $\mathbb{Z}_m \rightarrow \mathbb{Z}_{(m,n)}$ with kernel $n\mathbb{Z}_m$

Published on 10 Jun 2019 - 8:54

score 48 · Answer 15 · 2026-03-25 17:38:46

48

Views

Uniformly Integrability and Non-Tightness

Published on 25 Mar 2026 - 17:38

List Question

Easy counterexamples for each containment $Field\subsetneq ED \subsetneq PID \subsetneq UFD \subsetneq GCD \subsetneq Integral\space Domain$

Examples of commutative semirings satisfying $kb = hb + r \ \; \text{ iff } \; k = h \text{ and } r = 0$.

Any algebraic function that can be expanded as infinite series with unbounded positive integral coefficients?

$\{f_n \}$ is equicontinuous and pointwise converge to f is f uniformly continuous?

Example of non regular surface

Example of an experiment in which A, B, C are independent, but not pairwise independent

Undecidable cardinality

Construct $X$ s.t. it has a dense subset but elements in the complement of the subset have no sequence in the subset converging to them

Nice refinement of an inequality by Michael Rozenberg

Counterexample of Second fundamental theorem of Calculus if f is not continuous

Does a countable integral domain have only finitely many maximal ideals?

Nice olympiad inequality

Center of a group with order $p^aq^b$

Find a group epimorphism $\mathbb{Z}_m \rightarrow \mathbb{Z}_{(m,n)}$ with kernel $n\mathbb{Z}_m$

Uniformly Integrability and Non-Tightness

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