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NILPOTENTS

10 letters

◐ IN SOME DICTIONARIES
TWL06 ✓ SOWPODS ✓ ENABLE1 ✗
Classic 11 pts
Big 11 pts
Super Big 20 pts

NILPOTENTS is a valid 10-letter Boggle word. It's listed in TWL06 and SOWPODS but not ENABLE1. It scores 11 in Classic, 11 in Big, and 20 in Super Big Boggle.

NILPOTENTS root NILPOTENT-s

Word family

NILPOTENT 11
adjective
  1. Such that, for some positive integer n, xⁿ = 0.
    • If a square matrix is upper triangular and has zeros on the diagonal, then it is nilpotent (under the usual matrix multiplication).
  2. Belonging to the derived algebra of L and such that the adjoint action of x is nilpotent (as a linear transformation on L).
  3. Such that the lower central series terminates.
  4. Admitting a central series of finite length.
  5. Such that there exists a natural number k with Iᵏ = 0.
  6. Containing only nilpotent elements.
  7. Such that there exists some natural number n (called the index of the algebra) such that all products (of elements in the given algebra) of length n are zero.
noun
  1. A nilpotent element.