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Category Theory, Logic, and Discrete Mathematics

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Category theory, logic, combinatorics || part of #mathematics-on:matrix.org19 Servers

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20 Nov 2021
@plan2:matrix.orgplan2 The lattice should be those subsets that are mapped into themselves by f, probably 07:04:26
@plan2:matrix.orgplan2https://core.ac.uk/download/pdf/82716175.pdf it seems to be more subtle than that even12:21:51
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21 Nov 2021
@latterly:matrix.orglatterly does anyone know how I can demonstrate x^4 + x + 1 is irreducible over Z_3 without a brute force approach? 12:30:02
@latterly:matrix.orglatterlyto be irreducible I have to show it has a factor of degree 1, 2, or 3, where I can list all possible factors of those degrees12:31:56
@latterly:matrix.orglatterlyRedacted or Malformed Event12:33:25
@latterly:matrix.orglatterlyRedacted or Malformed Event12:34:53
@quantumanon:matrix.orgQuantum latterly: You might want to try #math.algebra:matrix.org for questions like this, but maybe try Eisenstein's Criterion? 12:39:45
@latterly:matrix.orglatterly
In reply to @quantumanon:matrix.org
latterly: You might want to try #math.algebra:matrix.org for questions like this, but maybe try Eisenstein's Criterion?
thanks for the redirect, I thought the Eisenstein criterion is only for irreducibility over the rational numbers
12:40:30
@quantumanon:matrix.orgQuantumThere's a generalisation to any domain12:40:41
@quantumanon:matrix.orgQuantum Though idk if it'll work here. Your constant term is 1, so it can't lie in a non-trivial prime ideal of ℤ₃ 12:42:16
22 Nov 2021
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23 Nov 2021
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24 Nov 2021
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25 Nov 2021
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26 Nov 2021
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27 Nov 2021
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