example 4.19 A two-element semigroup
open in the book ·
parts/02-mathematical-methods/02-algebraic-structures.tex:503
· p. 63
- example -- no derivation owed by its kind
Rests on
-
depends_on
definition 4.18
Semigroup
¶
-
depends_on
definition 4.6
Associativity
¶
-
depends_on
definition 4.3
Algebraic structure
¶
-
depends_on
definition 4.2
Binary operation
¶
- depends_on definition 4.1 Cartesian product ¶
- depends_on definition 3.43 Map ¶
-
depends_on
definition 4.2
Binary operation
¶
-
depends_on
definition 4.3
Algebraic structure
¶
-
depends_on
definition 4.4
Internal binary operation; magma
¶
- depends_on definition 4.3 Algebraic structure ¶ ↺
- depends_on definition 4.2 Binary operation ¶ ↺
-
depends_on
definition 4.6
Associativity
¶
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
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Semigroup | declared | parts/02-mathematical-methods/02-algebraic-structures.tex:524 |