List questions from valuation-theory

Published on 28 Jan 2016 - 18:35

248

Views

Restricted valuation on subring of a DVR

Published on 31 Jan 2016 - 11:58

480

Views

Does every non-archimedean absolute value on field take value in $\mathbb{Q}$

Published on 01 Feb 2016 - 18:03

82

Views

Valuation ring between $F$ and $\mathcal O_F$

Published on 01 Feb 2016 - 19:03

183

Views

A question concerning archimedean places on number fields

Published on 02 Feb 2016 - 3:50

138

Views

extension of a valuation on a function field

Published on 09 Feb 2016 - 17:34

128

Views

If $v$ is a valuation and $v(x)<v(y)$ then $v(x+y)=v(y)$.

Published on 13 Feb 2016 - 4:45

641

Views

extension of valuation rings

Published on 15 Feb 2016 - 16:03

484

Views

There are no archimedean function fields

Published on 25 Mar 2026 - 19:07

104

Views

Is $D=\left \{ x\in\mathbb{R}: \left | x \right |\leq 1 \right \}$ a discrete valuation ring?

Published on 04 Mar 2016 - 12:40

70

Views

Absolute values on $\mathbb{R}$

Published on 05 Mar 2016 - 1:39

174

Views

Extension of scalars and completions

Published on 10 Mar 2016 - 9:57

783

Views

The torsion subgroup of principal units $U^{(1)}$

Published on 26 Mar 2026 - 17:37

373

Views

Can a valuation ring properly contains another valuation ring with the same field of fractions?

Published on 21 Mar 2016 - 2:21

1.1k

Views

Localization of a valuation ring at a prime is abstractly isomorphic to the original ring

Published on 21 Mar 2016 - 4:25

List Question

Extending $2$-adic valuation to a finite extension of $\mathbb Q$.

Restricted valuation on subring of a DVR

Does every non-archimedean absolute value on field take value in $\mathbb{Q}$

Valuation ring between $F$ and $\mathcal O_F$

A question concerning archimedean places on number fields

extension of a valuation on a function field

If $v$ is a valuation and $v(x)<v(y)$ then $v(x+y)=v(y)$.

extension of valuation rings

There are no archimedean function fields

Is $D=\left \{ x\in\mathbb{R}: \left | x \right |\leq 1 \right \}$ a discrete valuation ring?

Absolute values on $\mathbb{R}$

Extension of scalars and completions

The torsion subgroup of principal units $U^{(1)}$

Can a valuation ring properly contains another valuation ring with the same field of fractions?

Localization of a valuation ring at a prime is abstractly isomorphic to the original ring

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