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Find the minimal polynomial of $\sqrt[3]{3} + \sqrt{5}$ over $\mathbb{Q}$.

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#minimal-polynomials #algebraic-numbers
124
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Help with Problem 10 in Chapter 7 of Lang's Algebra

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#abstract-algebra #algebraic-number-theory #algebraic-numbers
232
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Showing that the intersection of two sets is integral

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#commutative-algebra #integral-extensions #algebraic-numbers
129
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A nice representation for number fields

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#number-theory #field-theory #algebraic-number-theory #algebraic-numbers
73
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Proving $2((a+b)^4+(a+c)^4+(b+c)^4)+4(a^4+b^4+c^4+(a+b+c)^4)=3(a^2+b^2+c^2+(a+b+c)^2)^2$ in another way?

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#algebraic-numbers #algebraic-equations
88
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Transcendental numbers are decidable: a proof?

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#transcendental-numbers #decidability #algebraic-numbers
149
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Minimal polynomials of "simple" algebraic numbers

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#abstract-algebra #algebraic-number-theory #minimal-polynomials #computer-algebra-systems #algebraic-numbers
87
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If $x$ is given in degrees, are $\sin(x)$ and $\arcsin(x)$ algebric for $x$ rational?

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#trigonometry #algebraic-numbers
97
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Doubt regarding the two definitions of Norm of an ideal in Algebraic Number theory

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#abstract-algebra #number-theory #algebraic-number-theory #dedekind-domain #algebraic-numbers
115
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Generalizing algebraic numbers to multivariate polynomials

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#abstract-algebra #polynomials #multivariate-polynomial #algebraic-numbers
55
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Find the integers of degree 4 extension

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#algebraic-number-theory #algebraic-numbers
57
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Which rational angles are constructable?

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#real-analysis #trigonometry #geometric-construction #algebraic-numbers
132
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Any algebraic number with modulus $1$ is root of a polynomial with positive coefficients

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#polynomials #integers #algebraic-numbers
78
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Roots of polynomials with non-negative integer coefficients

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#polynomials #complex-numbers #natural-numbers #algebraic-numbers
72
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positive(?) definition of a transcendental number - as opposed to negative def. not an algebraic number

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#definition #transcendental-numbers #algebraic-numbers

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