The Herzog–Schönheim conjecture is a conjecture in the field of algebraic geometry and commutative algebra. It concerns the properties of ideals in polynomial rings or local rings. Specifically, it relates to the asymptotic behavior of the growth of the lengths of certain graded components of ideals.

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  1. Combinatorial group theory
  2. Group theory
  3. Fields of abstract algebra
  4. Fields of mathematics
  5. Mathematics
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