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element that is algebraic over a finite field

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#elementary-number-theory #field-theory
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Maximality of the kernel of a quasifield

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#abstract-algebra #ring-theory #field-theory #associativity
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Prove the fractional field of an integral domain is the smallest field containing the integral domain

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#abstract-algebra #field-theory #integral-domain
77
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Addition in Field.

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#field-theory
153
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If $k[X]/f = k[X]/g$, does $f = g$?

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#polynomials #ring-theory #field-theory
65.6k
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What is the main difference between a vector space and a field?

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#linear-algebra #abstract-algebra #vector-spaces #field-theory
102
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Tensor product of fields and its subalgebra

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#field-theory #tensor-products #extension-field
897
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Using Kronecker's theorem to construct a field with four elements

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#abstract-algebra #field-theory #finite-fields #extension-field
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Why are there so many universal properties in math?

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#abstract-algebra #ring-theory #category-theory #field-theory
555
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What is wrong with my proof of a step in Artin's construction of algebraic closure?

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#commutative-algebra #extension-field #field-theory
1.2k
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Non-Galois number fields and complex embeddings

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#field-theory #algebraic-number-theory #galois-theory
239
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Determining if an extension is a normal extension [MORANDI'S BOOK]

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#abstract-algebra #field-theory #galois-theory
36
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closure of rationalsmin topology

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#general-topology #field-theory
178
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Can $\mathbb{Z}$ be endowed with operations that give it the structure of a field?

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#abstract-algebra #field-theory
72
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Field extensions and irreducibility

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#field-theory #galois-theory #irreducible-polynomials

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