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Root continuity principle in $\overline{\mathbb{C}((t))}[T]$.

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#formal-power-series
178
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Can the field of Laurent series be made into an Archimedean ordered field?

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#abstract-algebra #laurent-series #formal-power-series #ordered-fields
131
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Composition of Power Series Convergence

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#power-series #formal-power-series
49
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differential equation to power to power series

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#algebra-precalculus #power-series #vector-analysis #formal-power-series
65
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Formal Laurent series in topological rings

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#formal-power-series #topological-rings
60
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Is $k[[x]]$ ever a finitely generated $k[x]_{(x)}$ module?

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#abstract-algebra #commutative-algebra #formal-power-series
254
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Difference between $R[x]$ and $R[[x]]$

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#abstract-algebra #polynomials #formal-power-series
212
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Is evaluation of formal power series compatible with composition over nonarchimedean complete fields?

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#algebraic-number-theory #formal-power-series #nonarchimedian-analysis
62
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More about the formal power series; for a given field $F$, what is $F[[x]]$?

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#abstract-algebra #ring-theory #field-theory #formal-power-series
120
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Quotient ring of formal power series

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#abstract-algebra #ring-theory #formal-power-series
156
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Is it possible to get positive radius of convergence for composition of two formal power series, if none of them has positive RoC.

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#real-analysis #complex-analysis #formal-power-series
237
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Zero divisors of the formal power series ring $A[[x]]$

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#abstract-algebra #ring-theory #commutative-algebra #formal-power-series
36
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power series with real powers

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#calculus #polynomials #formal-power-series
141
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Finitely generated projective $\mathbb{Z}[[x]]$-modules are free?

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#abstract-algebra #commutative-algebra #modules #free-modules #formal-power-series
231
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Group of units of $\mathbb{Z}_3[[x]]$

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#abstract-algebra #group-theory #p-adic-number-theory #formal-power-series

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