definition 4.15 Kernel

open in the book · parts/02-mathematical-methods/02-algebraic-structures.tex:406 · p. 61

ground object -- no derivation owed

Rests on

depends_on definition 4.9 Neutral element ¶
- depends_on definition 4.3 Algebraic structure ¶
  - depends_on definition 4.2 Binary operation ¶
    - depends_on definition 4.1 Cartesian product ¶
      - depends_on definition 3.28 Set ¶
    - depends_on definition 3.43 Map ¶
      - depends_on definition 3.24 Quantifiers ¶
      - depends_on definition 3.28 Set ¶ ↺

Supports

depends_on proposition 4.17 Trivial kernel of a homomorphism ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	Neutral element	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:413
`depends_on`	←	Trivial kernel of a homomorphism	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:438