Question

How to see if compositions are injective and or surjective?

score 25 · Answer 1 · 2026-04-14 08:37:51

25

Views

How to see if compositions are injective and or surjective?

Published on 14 Apr 2026 - 8:37

score 70 · Answer 2 · 2026-04-19 15:22:35

70

Views

For a vector space and its subspace, prove the quotient is a vector space

Published on 19 Apr 2026 - 15:22

score 194 · Answer 3 · 2026-04-13 22:52:16

194

Views

Multiplicative absolute value

Published on 13 Apr 2026 - 22:52

score 82 · Answer 4 · 2026-04-15 06:12:12

82

Views

Show that the ring homomorphism $\phi:R\to R/I$ defined by $\phi(r)=r+I$ is well-defined.

Published on 15 Apr 2026 - 6:12

score 1.3k · Answer 5 · 2026-04-09 09:10:34

1.3k

Views

Order of Group and the Sum of Squares of Degree of Irreducible Group Representations

Published on 09 Apr 2026 - 9:10

score 304 · Answer 6 · 2026-04-15 22:22:06

304

Views

A Lie Group and Lie Algebra Problem

Published on 15 Apr 2026 - 22:22

score 5.6k · Answer 7 · 2026-04-29 15:08:20

5.6k

Views

Find all irreducible polynomials of degrees $2$ and $3$ in $\Bbb{Z}_{2}[x]$.

Published on 29 Apr 2026 - 15:08

score 482 · Answer 8 · 2026-04-16 12:12:02

482

Views

Find the Galois group of $x^{4}-t$ over $\mathbb{R}(t)$, where $t$ is transcendental over the complex number $\mathbb{C}$

Published on 16 Apr 2026 - 12:12

score 88 · Answer 9 · 2026-04-15 04:13:33

88

Views

If $a$ and $b$ are elements of a finite field $k$, then $f(x)$ must have a root in $k$

Published on 15 Apr 2026 - 4:13

score 85 · Answer 10 · 2026-04-15 20:29:22

85

Views

Finite groups of order 24 in a special unitary Lie group

Published on 15 Apr 2026 - 20:29

score 516 · Answer 11 · 2026-05-05 06:19:39

516

Views

Is the image of $\Phi_n(x) \in \mathbb{Z}[x]$ in $\mathbb{F}_q[x]$ still a cyclotomic polynomial?

Published on 05 May 2026 - 6:19

score 57 · Answer 12 · 2026-04-11 05:52:20

57

Views

How many ring homomorphisms from field to field?

Published on 11 Apr 2026 - 5:52

score 286 · Answer 13 · 2026-04-11 12:44:34

286

Views

Example for ring $R$ which does not contain unity but satisfies property that $R^2=R$.

Published on 11 Apr 2026 - 12:44

score 549 · Answer 14 · 2026-04-12 01:32:03

549

Views

How to find the value of $x$ that satisfies $3x=4$ in $\mathbb Z/5\mathbb Z$?

Published on 12 Apr 2026 - 1:32

score 74 · Answer 15 · 2026-04-13 21:58:38

74

Views

How does one prove that $(x^4 - 5)$ and $(x^4 + 5)$ are irreducible over $\mathbb{Q}$?

Published on 13 Apr 2026 - 21:58

List Question

How to see if compositions are injective and or surjective?

For a vector space and its subspace, prove the quotient is a vector space

Multiplicative absolute value

Show that the ring homomorphism $\phi:R\to R/I$ defined by $\phi(r)=r+I$ is well-defined.

Order of Group and the Sum of Squares of Degree of Irreducible Group Representations

A Lie Group and Lie Algebra Problem

Find all irreducible polynomials of degrees $2$ and $3$ in $\Bbb{Z}_{2}[x]$.

Find the Galois group of $x^{4}-t$ over $\mathbb{R}(t)$, where $t$ is transcendental over the complex number $\mathbb{C}$

If $a$ and $b$ are elements of a finite field $k$, then $f(x)$ must have a root in $k$

Finite groups of order 24 in a special unitary Lie group

Is the image of $\Phi_n(x) \in \mathbb{Z}[x]$ in $\mathbb{F}_q[x]$ still a cyclotomic polynomial?

How many ring homomorphisms from field to field?

Example for ring $R$ which does not contain unity but satisfies property that $R^2=R$.

How to find the value of $x$ that satisfies $3x=4$ in $\mathbb Z/5\mathbb Z$?

How does one prove that $(x^4 - 5)$ and $(x^4 + 5)$ are irreducible over $\mathbb{Q}$?

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