List questions from ideals

Published on 28 Feb 2018 - 19:08

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Algebraic number theory: Factor into prime ideals

Published on 28 Feb 2018 - 23:34

804

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Prove that the ring of dual numbers over a field has three ideals

Published on 01 Mar 2018 - 20:22

288

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Confusion about ideal class group computation

Published on 25 Mar 2026 - 1:15

61

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Correspondance between function fields and projective curves

Published on 21 Mar 2026 - 0:51

88

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Notation in quotient rings

Published on 24 Mar 2026 - 23:52

46

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notation in congruence relation

Published on 22 Mar 2026 - 14:37

82

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Is the set of odd primes a maximal "Anti-ideal"?

Published on 25 Mar 2026 - 12:54

628

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In the ring of integers of $\mathbb Q[\sqrt d]$, if every non-zero ideal $A$ is a lattice, then is every ideal generated by at most two elements?

Published on 03 Mar 2018 - 20:03

452

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Exercise 1.4.12 of Ideals, Varieties, and Algorithms

Published on 17 Mar 2026 - 14:09

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Proving that $R$ is a field $\iff (x)$ is a maximal ideal in $R[x]$

Published on 03 Mar 2018 - 21:28

81

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About definition of Fractional ideals: confusion (from Cohn's basic algebra)

Published on 22 Mar 2026 - 22:51

180

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Proving that $x\notin\mathbb{m}\implies$ $x$ is a unit, where $\mathbb{m}$ is a unique maximal ideal of $R$

Published on 04 Mar 2018 - 14:48

883

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Product of sheaf of ideals

Published on 25 Mar 2026 - 3:02

83

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Proving maximal ideals of $\mathbb{Z}[x]$ contain a prime

Published on 06 Mar 2018 - 15:10

List Question

For ideals in a commutative ring, $((\hat{a} : \hat{b}) : \hat{c}) = (\hat{a}: \hat{b}\hat{c})$.

Algebraic number theory: Factor into prime ideals

Prove that the ring of dual numbers over a field has three ideals

Confusion about ideal class group computation

Correspondance between function fields and projective curves

Notation in quotient rings

notation in congruence relation

Is the set of odd primes a maximal "Anti-ideal"?

In the ring of integers of $\mathbb Q[\sqrt d]$, if every non-zero ideal $A$ is a lattice, then is every ideal generated by at most two elements?

Exercise 1.4.12 of Ideals, Varieties, and Algorithms

Proving that $R$ is a field $\iff (x)$ is a maximal ideal in $R[x]$

About definition of Fractional ideals: confusion (from Cohn's basic algebra)

Proving that $x\notin\mathbb{m}\implies$ $x$ is a unit, where $\mathbb{m}$ is a unique maximal ideal of $R$

Product of sheaf of ideals

Proving maximal ideals of $\mathbb{Z}[x]$ contain a prime

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