List questions from field-theory

Published on 10 Apr 2026 - 22:37

96

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Finding a representation of the inverse as linear combination

Published on 09 Apr 2026 - 9:02

43

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Question about extensions of a field of fractions of a complete DVR.

Published on 10 Apr 2026 - 0:10

73

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Does division by 0 really have anything to do with $\lim_{x \to 0} \frac{1}{x}$?

Published on 06 May 2026 - 1:08

73

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Let $F$ be a field; what does $(F)$ mean?

Published on 05 May 2026 - 18:42

109

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Proof verification: $[L_1L_2:K] \leq [L_1:K][L_2:K]$

Published on 06 May 2026 - 6:08

81

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Improve exposition of this proof: Matrix multiplication is associative, due to commutativity of underlying field

Published on 13 Apr 2026 - 23:08

92

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Where Does This Proof Use $\text{Char}(K)=p$?

Published on 14 Apr 2026 - 20:51

170

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Galois Theory: How does the Degree of a Field Extension Constrain the Number of Automorphisms?

Published on 11 Apr 2026 - 8:50

63

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Classification of graded fields, semifields, and skew fields

Published on 03 May 2026 - 15:51

32

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Degree of $(E \cap K) / (F \cap K)$

Published on 14 Apr 2026 - 21:59

31

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poles and algebraic power series

Published on 11 Apr 2026 - 7:59

53

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Group Ring epimorphism.

Published on 12 Apr 2026 - 20:26

274

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How to find the minimal polynomial over a field extensions $L/K$

Published on 09 Apr 2026 - 23:44

34

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Is there a field with infinite elements and $2^k$-th roots of unity as integers or integer vectors?

Published on 25 Mar 2026 - 9:49

List Question

What structure is this definition for projective plane?

Finding a representation of the inverse as linear combination

Question about extensions of a field of fractions of a complete DVR.

Does division by 0 really have anything to do with $\lim_{x \to 0} \frac{1}{x}$?

Let $F$ be a field; what does $(F)$ mean?

Proof verification: $[L_1L_2:K] \leq [L_1:K][L_2:K]$

Improve exposition of this proof: Matrix multiplication is associative, due to commutativity of underlying field

Where Does This Proof Use $\text{Char}(K)=p$?

Galois Theory: How does the Degree of a Field Extension Constrain the Number of Automorphisms?

Classification of graded fields, semifields, and skew fields

Degree of $(E \cap K) / (F \cap K)$

poles and algebraic power series

Group Ring epimorphism.

How to find the minimal polynomial over a field extensions $L/K$

Is there a field with infinite elements and $2^k$-th roots of unity as integers or integer vectors?

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