Fraction field of $A[[t]]$ The 2019 Stack Overflow Developer Survey Results Are InWhat is the fraction field of $R[[x]]$, the power series over some integral domain?Is the integral closure of a Henselian DVR $A$ in a finite extension of its field of fractions finite over $A$?Valuation rings of complete non-archimedean fields which are not localA valued field is complete iff its ring of intergers is completeIntegral closure of a DVR in finite extension of fraction fieldValuation ring and integral closurePrincipal local Artinian ring is a quotient of discrete valuation ring.Is the degree valuation complete?Does every local domain admit an injective homomorphism into a discrete valuation subring of its fraction field?Residue field of completion of a field finite type over the prime fieldOn $A$ algebra homomorphisms $A[[X_1,…,X_n]]to Q(A)$, where $A$ is a complete DVR
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Fraction field of $A[[t]]$
The 2019 Stack Overflow Developer Survey Results Are InWhat is the fraction field of $R[[x]]$, the power series over some integral domain?Is the integral closure of a Henselian DVR $A$ in a finite extension of its field of fractions finite over $A$?Valuation rings of complete non-archimedean fields which are not localA valued field is complete iff its ring of intergers is completeIntegral closure of a DVR in finite extension of fraction fieldValuation ring and integral closurePrincipal local Artinian ring is a quotient of discrete valuation ring.Is the degree valuation complete?Does every local domain admit an injective homomorphism into a discrete valuation subring of its fraction field?Residue field of completion of a field finite type over the prime fieldOn $A$ algebra homomorphisms $A[[X_1,…,X_n]]to Q(A)$, where $A$ is a complete DVR
$begingroup$
Let $A$ be a complete discrete valuation ring. (For example $A$ is the completion of the local ring of a curve at a point).
What is the fraction field of $A[[t]]$? Is it $operatornameFrac(A)((t))$?
ring-theory commutative-algebra power-series valuation-theory
asked Apr 3 at 14:41
notsurenotsure
267
$endgroup$
This question has an open bounty worth +50
reputation from notsure ending ending at 2019-04-13 17:30:26Z">in 4 days.
Looking for an answer drawing from credible and/or official sources.
add a comment |
$begingroup$
Let $A$ be a complete discrete valuation ring. (For example $A$ is the completion of the local ring of a curve at a point).
What is the fraction field of $A[[t]]$? Is it $operatornameFrac(A)((t))$?
ring-theory commutative-algebra power-series valuation-theory
asked Apr 3 at 14:41
notsurenotsure
267
$endgroup$
This question has an open bounty worth +50
reputation from notsure ending ending at 2019-04-13 17:30:26Z">in 4 days.
Looking for an answer drawing from credible and/or official sources.
1
$begingroup$
Maybe relevant: math.stackexchange.com/questions/140054/….
$endgroup$
– Martín-Blas Pérez Pinilla
Apr 6 at 17:41
$begingroup$
Ohhh didn't see it. Thank you very much.
$endgroup$
– notsure
Apr 6 at 17:42
add a comment |
$begingroup$
Let $A$ be a complete discrete valuation ring. (For example $A$ is the completion of the local ring of a curve at a point).
What is the fraction field of $A[[t]]$? Is it $operatornameFrac(A)((t))$?
ring-theory commutative-algebra power-series valuation-theory
asked Apr 3 at 14:41
notsurenotsure
267
$endgroup$
Let $A$ be a complete discrete valuation ring. (For example $A$ is the completion of the local ring of a curve at a point).
What is the fraction field of $A[[t]]$? Is it $operatornameFrac(A)((t))$?
ring-theory commutative-algebra power-series valuation-theory
ring-theory commutative-algebra power-series valuation-theory
asked Apr 3 at 14:41
notsurenotsure
267
asked Apr 3 at 14:41
notsurenotsure
267
asked Apr 3 at 14:41
notsurenotsure
267
asked Apr 3 at 14:41
notsurenotsure
267
asked Apr 3 at 14:41
notsurenotsure
267
267
This question has an open bounty worth +50
reputation from notsure ending ending at 2019-04-13 17:30:26Z">in 4 days.
Looking for an answer drawing from credible and/or official sources.
This question has an open bounty worth +50
reputation from notsure ending ending at 2019-04-13 17:30:26Z">in 4 days.
Looking for an answer drawing from credible and/or official sources.
1
$begingroup$
Maybe relevant: math.stackexchange.com/questions/140054/….
$endgroup$
– Martín-Blas Pérez Pinilla
Apr 6 at 17:41
$begingroup$
Ohhh didn't see it. Thank you very much.
$endgroup$
– notsure
Apr 6 at 17:42
add a comment |
1
$begingroup$
Maybe relevant: math.stackexchange.com/questions/140054/….
$endgroup$
– Martín-Blas Pérez Pinilla
Apr 6 at 17:41
$begingroup$
Ohhh didn't see it. Thank you very much.
$endgroup$
– notsure
Apr 6 at 17:42
1
1
$begingroup$
Maybe relevant: math.stackexchange.com/questions/140054/….
$endgroup$
– Martín-Blas Pérez Pinilla
Apr 6 at 17:41
$begingroup$
Maybe relevant: math.stackexchange.com/questions/140054/….
$endgroup$
– Martín-Blas Pérez Pinilla
Apr 6 at 17:41
$begingroup$
Ohhh didn't see it. Thank you very much.
$endgroup$
– notsure
Apr 6 at 17:42
$begingroup$
Ohhh didn't see it. Thank you very much.
$endgroup$
– notsure
Apr 6 at 17:42
add a comment |
0
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$begingroup$
Maybe relevant: math.stackexchange.com/questions/140054/….
$endgroup$
– Martín-Blas Pérez Pinilla
Apr 6 at 17:41
$begingroup$
Ohhh didn't see it. Thank you very much.
$endgroup$
– notsure
Apr 6 at 17:42