nLab monoid theory - contents

monoid theory in algebra:

• monoid, infinity-monoid

• monoid homomorphism

• Mon, CMon

• trivial monoid

• submonoid

• divisor

• inverse element, unit, irreducible element

• ideal in a monoid

• principal ideal in a monoid

• commutative monoid

  • tensor product of commutative monoids

• cancellative monoid

• GCD monoid

• unique factorization monoid

• Bézout monoid

• principal ideal monoid

• group, abelian group

• idempotent monoid

• semilattice

• absorption monoid

  • zero divisor

  • integral monoid

• 01-bounded semilattice

• free monoid, free commutative monoid

• graphic monoid

• monoid action

• module over a monoid

• localization of a monoid

• group completion

• endomorphism monoid

• monoid object, monoid object in an (infinity,1)-category

  • commutative monoid object

  • idempotent monoid object

  • semilattice object

  • semiring, rig, ring, associative unital algebra

• super commutative monoid

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