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notation for creating formal power series and $R-module$

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#notation #modules #formal-power-series
35
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Evaluation of a rational function vs formal power series

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#rational-functions #formal-power-series
108
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Is the ring of formal power series a localization of some non local ring at prime ideals?

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#commutative-algebra #examples-counterexamples #localization #formal-power-series #local-rings
93
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Freeness of the algebra of formal power series?

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#abstract-algebra #ring-theory #commutative-algebra #formal-power-series
41
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Isomorphism between quotients of two variable formal power series ring

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#abstract-algebra #ring-theory #formal-power-series #ring-isomorphism
27
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A certain formal power series equals the zeta function of a curve

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#representation-theory #finite-fields #zeta-functions #formal-power-series
96
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Metric Induced by order of formal power series

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#general-topology #metric-spaces #formal-power-series
212
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Is $\mathbb{Z}_p \cong \mathbb{Z}[[X]]/(X-p)$?

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#ring-theory #algebraic-number-theory #p-adic-number-theory #formal-power-series
18
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Definition of formal path in the group of diffeomorphisms

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#formal-power-series #deformation-theory
179
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Seeking more alternate proofs of a combinatorial generating function identity $G(x)=\overline{G}(-x)^{-1}$ related to counting strings.

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#combinatorics #power-series #generating-functions #alternative-proof #formal-power-series
100
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Find a formula for summation of a increasing term (formal power series)

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#combinatorics #formal-power-series
53
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Transcendence of meromorphic function vs formal power series

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#complex-analysis #formal-power-series #meromorphic-functions #transcendence-theory
119
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Show that the ring of formal power series in a commutative ring $R$, $R[[x]]$ is noetherian.

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#ring-theory #noetherian #formal-power-series
24
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When a sequence of formal power series is summable.

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#abstract-algebra #ring-theory #intuition #formal-power-series
112
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How to calculate Puiseux series for $x^{e^x}$?

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#taylor-expansion #power-series #laurent-series #formal-power-series

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