Question

Does there exist a UFD having only finitely many irreducibles?

score 1.6k · Answer 1 · 2026-04-14 05:05:06

1.6k

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Does there exist a UFD having only finitely many irreducibles?

Published on 14 Apr 2026 - 5:05

score 89 · Answer 2 · 2026-04-17 08:04:28

89

Views

The set of all $p \in \mathbb{C}[x]$ that can be expressed using only one occurrence of $x$.

Published on 17 Apr 2026 - 8:04

score 144 · Answer 3 · 2026-04-13 05:44:28

144

Views

Nilpotent elements in commutative rings

Published on 13 Apr 2026 - 5:44

score 384 · Answer 4 · 2026-04-13 20:20:22

384

Views

Question regarding Vakil's algebraic geometry notes

Published on 13 Apr 2026 - 20:20

score 86 · Answer 5 · 2026-04-11 16:10:31

86

Views

Extension of graded algebra by a homogeneous ideal

Published on 11 Apr 2026 - 16:10

score 1.8k · Answer 6 · 2026-04-11 09:28:12

1.8k

Views

Is every local ring a valuation ring?

Published on 11 Apr 2026 - 9:28

score 626 · Answer 7 · 2026-04-15 05:45:43

626

Views

Localization of a finitely generated module is trivial iff its annihilator is nontrivial

Published on 15 Apr 2026 - 5:45

score 620 · Answer 8 · 2026-04-16 04:41:03

620

Views

Intersection of all associated primes

Published on 16 Apr 2026 - 4:41

score 2.5k · Answer 9 · 2026-04-16 17:09:23

2.5k

Views

Problem on the number of generators of some ideals in $k[x,y,z]$

Published on 16 Apr 2026 - 17:09

score 237 · Answer 10 · 2026-04-13 02:01:02

237

Views

The greatest common divisor of homogeneous polynomials

Published on 13 Apr 2026 - 2:01

score 180 · Answer 11 · 2026-04-14 01:57:10

180

Views

non-principal height one primes of a particular hypersurface

Published on 14 Apr 2026 - 1:57

score 260 · Answer 12 · 2026-04-13 10:49:02

260

Views

Recovering free modules from their projective limit

Published on 13 Apr 2026 - 10:49

score 213 · Answer 13 · 2026-04-10 23:11:19

213

Views

An equivalent condition for zero dimensional Noetherian local rings

Published on 10 Apr 2026 - 23:11

score 462 · Answer 14 · 2026-04-15 22:50:37

462

Views

Length of polynomial ring modulo a homogeneous regular sequence

Published on 15 Apr 2026 - 22:50

score 110 · Answer 15 · 2026-04-12 23:29:33

110

Views

preservation of localness among certain Krull domains

Published on 12 Apr 2026 - 23:29

List Question

Does there exist a UFD having only finitely many irreducibles?

The set of all $p \in \mathbb{C}[x]$ that can be expressed using only one occurrence of $x$.

Nilpotent elements in commutative rings

Question regarding Vakil's algebraic geometry notes

Extension of graded algebra by a homogeneous ideal

Is every local ring a valuation ring?

Localization of a finitely generated module is trivial iff its annihilator is nontrivial

Intersection of all associated primes

Problem on the number of generators of some ideals in $k[x,y,z]$

The greatest common divisor of homogeneous polynomials

non-principal height one primes of a particular hypersurface

Recovering free modules from their projective limit

An equivalent condition for zero dimensional Noetherian local rings

Length of polynomial ring modulo a homogeneous regular sequence

preservation of localness among certain Krull domains

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