Cryptic crossword clue
Element of abstract algebra that converts 10p into 50! 9

The most common and most likely answer to this crossword clue is the 9 letter word NILPOTENT

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Buddy explains!

The straight part
We know that "Element of abstract algebra" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case element of abstract algebra = nilpotent.
The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.
This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.

What does NILPOTENT mean?

NILPOTENT noun
  1. A nilpotent element.
NILPOTENT adjective
  1. (of an element x of a semigroup or ring) Such that, for some positive integer n, xn = 0.

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