Linked from

The 13 pages that link to Monoid, each with the reason it gives.

• Group theoryCompared with: Monoids retain two group axioms while dropping the requirement of inverses.

• GroupCompared with: A monoid has two group axioms but need not provide inverses.

• Identity elementRelated: A monoid makes the identity element part of its defining structure.

• Ring (mathematics)Related: Ring multiplication is associative and may also have an identity.

• AssociativityBroader topic: Adding an identity to an associative operation produces a monoid.

• Binary operationBroader topic: A monoid adds a neutral element to an associative operation.

• SemigroupBroader topic: A monoid is precisely a semigroup with a neutral element.

• Associative propertyBroader topic: Adding an identity to an associative operation yields a monoid.

• CategoryRelated: A monoid is exactly a category with one object.

• Inverse elementRelated: Monoids provide an identity, though not every element has an inverse.

• Algebraic structureCompared with: A monoid adds a neutral element without requiring inverses.

• MagmaBroader topic: A monoid adds associativity and an identity to the magma framework.

• Ring theoryRelated: A ring with identity has a multiplicative monoid.