example 4.22 A two-element group
open in the book ·
parts/02-mathematical-methods/02-algebraic-structures.tex:573
· p. 64
- example -- no derivation owed by its kind
Rests on
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depends_on
definition 4.21
Group
¶
-
depends_on
definition 4.11
Inverse element
¶
-
depends_on
definition 4.9
Neutral element
¶
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depends_on
definition 4.3
Algebraic structure
¶
- depends_on definition 4.2 Binary operation ¶
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depends_on
definition 4.3
Algebraic structure
¶
-
depends_on
definition 4.9
Neutral element
¶
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depends_on
definition 4.20
Monoid
¶
- depends_on definition 4.9 Neutral element ¶ ↺
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depends_on
definition 4.18
Semigroup
¶
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depends_on
definition 4.6
Associativity
¶
- depends_on definition 4.3 Algebraic structure ¶ ↺
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depends_on
definition 4.4
Internal binary operation; magma
¶
- depends_on definition 4.3 Algebraic structure ¶ ↺
- depends_on definition 4.2 Binary operation ¶ ↺
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depends_on
definition 4.6
Associativity
¶
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depends_on
definition 4.11
Inverse element
¶
Supports
Nothing declares a dependency on this node yet.
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
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- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Group | declared | parts/02-mathematical-methods/02-algebraic-structures.tex:591 |