Question

Writing any Morita context with idempotents and a bigger ring.

score 66 · Answer 1 · 2026-04-12 05:38:45

66

Views

Writing any Morita context with idempotents and a bigger ring.

Published on 12 Apr 2026 - 5:38

score 72 · Answer 2 · 2026-04-12 03:12:06

72

Views

Equivalence of defining field structure and recovering field structure via abstract projective plane

Published on 12 Apr 2026 - 3:12

score 1.1k · Answer 3 · 2026-03-25 01:17:33

1.1k

Views

If $[K(\alpha):K]=p\neq q=[K(\beta):K]$ then $[K(\alpha+\beta):K]=pq$

Published on 25 Mar 2026 - 1:17

score 417 · Answer 4 · 2026-04-09 01:15:51

417

Views

Prove that the homomorphism $\phi:R\to S^{-1}R$ is injective if and only if $S$ contains no zero-divisors.

Published on 09 Apr 2026 - 1:15

score 40 · Answer 5 · 2026-04-11 08:12:08

40

Views

What does "admitting power of torsion of $\mathbb{Z}$-module" mean?

Published on 11 Apr 2026 - 8:12

score 55 · Answer 6 · 2026-04-10 17:04:36

55

Views

When the powers of an element of a Finite Field generate a subfield?

Published on 10 Apr 2026 - 17:04

score 296 · Answer 7 · 2026-04-12 13:19:11

296

Views

Exercise about a direct product of modules that is not equal to its direct sum

Published on 12 Apr 2026 - 13:19

score 268 · Answer 8 · 2026-04-09 03:15:00

268

Views

Units of $\mathbb{Z}[\omega]$ where $\omega = \frac{1}{2} (1+ \sqrt{a})$, $a<0$ a square free integer.

Published on 09 Apr 2026 - 3:15

score 708 · Answer 9 · 2026-04-12 09:55:26

708

Views

Proof that subgroup of circle group has infinite order

Published on 12 Apr 2026 - 9:55

score 360 · Answer 10 · 2026-03-25 03:20:21

360

Views

The set of morphism from a tensor product to an certain ring

Published on 25 Mar 2026 - 3:20

score 932 · Answer 11 · 2026-04-08 20:59:37

932

Views

Define a binary operation * on the real numbers as $x * y=xy+x+y$ for all real numbers x and y.

Published on 08 Apr 2026 - 20:59

score 69 · Answer 12 · 2026-04-09 00:30:02

69

Views

Do the results hold for isomorphisms of groups?

Published on 09 Apr 2026 - 0:30

score 1.6k · Answer 13 · 2018-01-28 06:08:39

Let G be an abelian group of order $pq$ with $(p,q)=1$. If G contains elements $a$ and $b$ of order $p$ and $q$ respectively, show that G is cyclic.

score 626 · Answer 14 · 2018-01-28 08:46:12

626

Views

If G is a finite group in which every proper subgroup is abelian, show that G is solvable.

Published on 28 Jan 2018 - 8:46

score 270 · Answer 15 · 2026-03-24 23:43:05

270

Views

Simple question on field extensions of separably closed fields

Published on 24 Mar 2026 - 23:43

List Question

Writing any Morita context with idempotents and a bigger ring.

Equivalence of defining field structure and recovering field structure via abstract projective plane

If $[K(\alpha):K]=p\neq q=[K(\beta):K]$ then $[K(\alpha+\beta):K]=pq$

Prove that the homomorphism $\phi:R\to S^{-1}R$ is injective if and only if $S$ contains no zero-divisors.

What does "admitting power of torsion of $\mathbb{Z}$-module" mean?

When the powers of an element of a Finite Field generate a subfield?

Exercise about a direct product of modules that is not equal to its direct sum

Units of $\mathbb{Z}[\omega]$ where $\omega = \frac{1}{2} (1+ \sqrt{a})$, $a<0$ a square free integer.

Proof that subgroup of circle group has infinite order

The set of morphism from a tensor product to an certain ring

Define a binary operation * on the real numbers as $x * y=xy+x+y$ for all real numbers x and y.

Do the results hold for isomorphisms of groups?

Let G be an abelian group of order $pq$ with $(p,q)=1$. If G contains elements $a$ and $b$ of order $p$ and $q$ respectively, show that G is cyclic.

If G is a finite group in which every proper subgroup is abelian, show that G is solvable.

Simple question on field extensions of separably closed fields

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