isNilpotent
P102341
predicate
Indicates that an algebraic structure (typically a group, ring, or matrix) has some power or iterated operation that results in the identity or zero element, satisfying the definition of nilpotency.
All labels observed (2)
| Label | Occurrences |
|---|---|
| isSemisimple | 7 |
| isNilpotent canonical | 2 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: isNilpotent
Generated description
Indicates that an algebraic structure (typically a group, ring, or matrix) has some power or iterated operation that results in the identity or zero element, satisfying the definition of nilpotency.
Sample triples (9)
| Subject | Object |
|---|---|
| Fitting subgroup | true ⓘ |
| Heisenberg Lie algebra | true ⓘ |
| Heisenberg Lie algebra | false via predicate surface "isSemisimple" ⓘ |
| orthogonal group O(n+1,2) | true via predicate surface "isSemisimple" ⓘ |
|
SL(n,ℝ)
linked to:
special linear group SL(n,R)
|
true via predicate surface "isSemisimple" ⓘ |
| SO(2,d-1) | true via predicate surface "isSemisimple" ⓘ |
| Spin(2,d) | true via predicate surface "isSemisimple" ⓘ |
| sl(2,C) | true via predicate surface "isSemisimple" ⓘ |
| Bose–Mesner algebra | true via predicate surface "isSemisimple" ⓘ |