BONNIE'S NOTES

Tag: MATH-GU4042

10 items with this tag.

  • May 13, 2025

    Integers modulo n

    • permanent-note
    • topic-logic-mathematics
    • MATH-GU4041
    • MATH-GU4042
  • May 09, 2025

    Algebraic fields

    • permanent-note
    • topic-logic-mathematics
    • MATH-GU4042
    • wip
  • May 09, 2025

    Gaussian integers

    • permanent-note
    • topic-logic-mathematics
    • MATH-GU4042
    • wip
  • May 09, 2025

    Algebraic rings

    • permanent-note
    • topic-logic-mathematics
    • MATH-GU4042
    • wip
  • May 07, 2025

    Finite extension fields

    • permanent-note
    • topic-logic-mathematics
    • MATH-GU4042
  • May 07, 2025

    Prime (sub)fields

    • permanent-note
    • topic-logic-mathematics
    • MATH-GU4042
  • May 07, 2025

    Irreducible polynomials

    • permanent-note
    • topic-logic-mathematics
    • MATH-GU4042
  • May 06, 2025

    Minimal polynomial of an element in an extension field

    • permanent-note
    • topic-logic-mathematics
    • MATH-GU4042
  • Apr 13, 2025

    Factorization on polynomial rings

    • permanent-note
    • topic-logic-mathematics
    • MATH-GU4042
  • Mar 08, 2025

    Vector bases and dimension

    • permanent-note
    • topic-logic-mathematics
    • MATH-UN1207
    • MATH-GU4042

Graph View

Backlinks

  • (Theorem) Every nonconstant polynomial over a field has a root in some extension field
  • (Theorem) The number of extensions of a field homomorphism is at most the degree of the field extension
  • (Theorem) Universal property of simple field extensions
  • Algebraic fields
  • Algebraic rings
  • Factorization on polynomial rings
  • Finite extension fields
  • Irreducible polynomials

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