List questions from formal-power-series

Published on 07 Jan 2020 - 4:59

54

Views

Is $\sum_{i=0}^n a^{n-i}b^ix^i$ a regular element of $R[[x]]$ when $ax + b$ is regular?

Published on 28 Jan 2020 - 22:22

58

Views

On embedding $\mathbb C[x_1,...,x_d]/P $ inside $\mathbb C[[T]]$

Published on 25 Mar 2026 - 11:12

22

Views

Understanding the solution to ODE using differential operator theory with basic algebra

Published on 04 Feb 2020 - 10:15

361

Views

Existence of Ring homomorphism from Formal Power series ring to a ring.

Published on 25 Mar 2026 - 17:40

167

Views

Questions about evaluation map from $\mathbb Z[[X]]$ to $\mathbb Q$ and $\mathbb Z[[X]]$ to $\mathbb C$.

Published on 21 Feb 2020 - 6:44

205

Views

Unusual completion of $\Bbb{Z}_p[x]$

Published on 26 Feb 2020 - 14:09

41

Views

Given a formal power series $f_1$, can we produce another formal power series $f_2$ suing computer program s.t. $f_1 \circ f_2=f_2 \circ f_1$?

Published on 12 Mar 2020 - 15:00

590

Views

$k$-algebra morphisms from formal power series ring

Published on 13 Mar 2020 - 14:10

53

Views

Existence of ring homomorphism from $\mathbb{Z}[[x]] \to \mathbb{Z} $

Published on 25 Mar 2026 - 19:06

115

Views

Infinite product of polynomials what does it mean?

Published on 20 Mar 2020 - 21:20

66

Views

Ideal of formal power series over $\mathbb{R}$

Published on 28 Mar 2020 - 13:20

33

Views

Help Understanding Proof Involving Formal Power Series

Published on 08 Apr 2020 - 8:47

961

Views

Is $R[[x]][[y]]$ the same as $R[[x,y]]?$

Published on 25 Mar 2026 - 7:42

347

Views

How to prove that a power series in a unital Banach algebra converges normally in an open ball around 0

Published on 14 Apr 2020 - 13:55

List Question

Formal Power Series as Initial Objects?

Is $\sum_{i=0}^n a^{n-i}b^ix^i$ a regular element of $R[[x]]$ when $ax + b$ is regular?

On embedding $\mathbb C[x_1,...,x_d]/P $ inside $\mathbb C[[T]]$

Understanding the solution to ODE using differential operator theory with basic algebra

Existence of Ring homomorphism from Formal Power series ring to a ring.

Questions about evaluation map from $\mathbb Z[[X]]$ to $\mathbb Q$ and $\mathbb Z[[X]]$ to $\mathbb C$.

Unusual completion of $\Bbb{Z}_p[x]$

Given a formal power series $f_1$, can we produce another formal power series $f_2$ suing computer program s.t. $f_1 \circ f_2=f_2 \circ f_1$?

$k$-algebra morphisms from formal power series ring

Existence of ring homomorphism from $\mathbb{Z}[[x]] \to \mathbb{Z} $

Infinite product of polynomials what does it mean?

Ideal of formal power series over $\mathbb{R}$

Help Understanding Proof Involving Formal Power Series

Is $R[[x]][[y]]$ the same as $R[[x,y]]?$

How to prove that a power series in a unital Banach algebra converges normally in an open ball around 0

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