Question

showing that $F((t))=\big\{\sum\limits_{n=N}^{\infty}a_nt^n\ :\ N\in\mathbb{Z}, a_n\in F\big\}$ is a field for a field $F$

score 163 · Answer 1 · 2018-03-27 18:43:00

163

Views

showing that $F((t))=\big\{\sum\limits_{n=N}^{\infty}a_nt^n\ :\ N\in\mathbb{Z}, a_n\in F\big\}$ is a field for a field $F$

Published on 27 Mar 2018 - 18:43

score 1.9k · Answer 2 · 2026-03-25 01:18:25

1.9k

Views

For ring homomorphism $\phi:R\to S$, prove that $\phi(R)$ is a subring of $S$.

Published on 25 Mar 2026 - 1:18

score 1.4k · Answer 3 · 2018-03-27 21:28:16

1.4k

Views

Primes in ring theory

Published on 27 Mar 2018 - 21:28

score 227 · Answer 4 · 2026-03-25 06:21:20

227

Views

For a finitely generated $K$ algebra $A$ is $S^{-1}A$ also finitely generated $K$ algebra?

Published on 25 Mar 2026 - 6:21

score 479 · Answer 5 · 2026-03-25 02:59:20

479

Views

Nilpotent Elements of a Group Ring

Published on 25 Mar 2026 - 2:59

score 72 · Answer 6 · 2018-03-28 12:29:49

72

Views

Is it Integral domain?

Published on 28 Mar 2018 - 12:29

score 234 · Answer 7 · 2026-03-26 06:21:02

234

Views

How do we know there is no basis for the ideal $(2, 1+\sqrt{-5})$ as a $\mathbb Z[\sqrt{-5}]$-module?

Published on 26 Mar 2026 - 6:21

score 391 · Answer 8 · 2026-03-25 22:10:19

391

Views

Solve $x^2 \equiv 1 \pmod{30}$ and generalize.

Published on 25 Mar 2026 - 22:10

score 36 · Answer 9 · 2026-03-25 01:17:37

36

Views

Reducedness of a factor ring in regard of group rings

Published on 25 Mar 2026 - 1:17

score 35 · Answer 10 · 2018-03-29 01:35:23

35

Views

Prove a identity of a ring

Published on 29 Mar 2018 - 1:35

score 118 · Answer 11 · 2026-03-25 17:19:44

118

Views

If $I\subset \mathbb{Z}[X]$ prime ideal, then $I\cap \mathbb{Z}$ prime ideal in $\mathbb{Z}$

Published on 25 Mar 2026 - 17:19

score 943 · Answer 12 · 2018-03-29 13:56:58

943

Views

If a ring has a left identity that is not a right identity, then there must be more than one left identity

Published on 29 Mar 2018 - 13:56

score 162 · Answer 13 · 2026-03-25 01:17:18

162

Views

Sum of idempotent and nilpotent minimal right ideals

Published on 25 Mar 2026 - 1:17

score 1.2k · Answer 14 · 2026-03-25 19:02:49

1.2k

Views

What are the units in $\mathbb{Q}(\sqrt{2}, \sqrt{3})$?

Published on 25 Mar 2026 - 19:02

score 61 · Answer 15 · 2026-03-25 03:18:56

61

Views

Polynomial divibility over finite field

Published on 25 Mar 2026 - 3:18

List Question

showing that $F((t))=\big\{\sum\limits_{n=N}^{\infty}a_nt^n\ :\ N\in\mathbb{Z}, a_n\in F\big\}$ is a field for a field $F$

For ring homomorphism $\phi:R\to S$, prove that $\phi(R)$ is a subring of $S$.

Primes in ring theory

For a finitely generated $K$ algebra $A$ is $S^{-1}A$ also finitely generated $K$ algebra?

Nilpotent Elements of a Group Ring

Is it Integral domain?

How do we know there is no basis for the ideal $(2, 1+\sqrt{-5})$ as a $\mathbb Z[\sqrt{-5}]$-module?

Solve $x^2 \equiv 1 \pmod{30}$ and generalize.

Reducedness of a factor ring in regard of group rings

Prove a identity of a ring

If $I\subset \mathbb{Z}[X]$ prime ideal, then $I\cap \mathbb{Z}$ prime ideal in $\mathbb{Z}$

If a ring has a left identity that is not a right identity, then there must be more than one left identity

Sum of idempotent and nilpotent minimal right ideals

What are the units in $\mathbb{Q}(\sqrt{2}, \sqrt{3})$?

Polynomial divibility over finite field

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