Algebra

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Across
  1. 4. the cardinality of a finite group
  2. 7. a bijective homomorphism
  3. 9. a nontrivial commutative ring in which every nonzero element is a unit
  4. 10. an associative binary operation that admits an identity
Down
  1. 1. an ideal that is comprised of just 0.
  2. 2. elements of an R-module where R is a field
  3. 3. a linearly independent set that generates a module
  4. 5. a group that is commutative as a monoid
  5. 6. a monoid in which every element is a unit.
  6. 8. an ideal that not the entire ring