List questions from formal-power-series

Published on 04 Oct 2017 - 13:41

234

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Flatness of finitely generated (/finitely presented) module carries to power series module?

Published on 27 Mar 2026 - 7:14

57

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Can $\mathbb{R}[[X]]$ as the ring of one-sided sequences be extended to a field of two-sided sequences with termwise addition?

Published on 12 Oct 2017 - 20:04

1.6k

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How do I show that formal logarithm is the inverse of the formal exponential?

Published on 23 Oct 2017 - 23:00

797

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When does $f,g \in R[x]$ relatively prime imply $f,g \in R[[x]]$ relatively prime.

Published on 01 Nov 2017 - 1:16

827

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Is the formal power series ring a graded ring?

Published on 27 Mar 2026 - 7:13

156

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Isomorphisms between quotients of formal power series rings

Published on 22 Nov 2017 - 14:18

43

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On a computation of probability generating function

Published on 23 Nov 2017 - 14:13

332

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Is $k[x]_{(x)}$ never isomorphic with $k[[x]]$?

Published on 03 Dec 2017 - 7:25

306

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Well-defined formal power series

Published on 04 Dec 2017 - 4:38

291

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Dirichlet Series: Non-negativity of coefficients of logarithm

Published on 27 Mar 2026 - 0:05

378

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Give a direct a expression for the terms of the square of an infinite series

Published on 07 Dec 2017 - 22:59

114

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Does every real- analytic function defined in the neighborhood of$ x= 0$ must have a fixed point?

Published on 27 Mar 2026 - 4:38

36

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Could be the radius of convergence $0$ for EGF if $b_n > n!$ for $n>n_{0}$?

Published on 04 Jan 2018 - 11:24

69

Views

Is there any known recurence formula for this sequence $A214645$?

Published on 04 Jan 2018 - 22:49

List Question

Finding elements of $K[[x]]\setminus K[x]_{(x)}$.

Flatness of finitely generated (/finitely presented) module carries to power series module?

Can $\mathbb{R}[[X]]$ as the ring of one-sided sequences be extended to a field of two-sided sequences with termwise addition?

How do I show that formal logarithm is the inverse of the formal exponential?

When does $f,g \in R[x]$ relatively prime imply $f,g \in R[[x]]$ relatively prime.

Is the formal power series ring a graded ring?

Isomorphisms between quotients of formal power series rings

On a computation of probability generating function

Is $k[x]_{(x)}$ never isomorphic with $k[[x]]$?

Well-defined formal power series

Dirichlet Series: Non-negativity of coefficients of logarithm

Give a direct a expression for the terms of the square of an infinite series

Does every real- analytic function defined in the neighborhood of$ x= 0$ must have a fixed point?

Could be the radius of convergence $0$ for EGF if $b_n > n!$ for $n>n_{0}$?

Is there any known recurence formula for this sequence $A214645$?

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