Anagram & Information om | Engelska ordet MONOIDS

Exempel på hur man kan använda MONOIDS i en mening

• Examples include quotient spaces in linear algebra, quotient spaces in topology, quotient groups, homogeneous spaces, quotient rings, quotient monoids, and quotient categories.
• However, logical implication between dependencies that can be inclusion dependencies or functional dependencies is undecidable by reduction from the word problem for monoids.
• Semigroupoids generalise semigroups in the same way that small categories generalise monoids and groupoids generalise groups.
• Artin–Tits monoids are eligible for Garside methods based on the investigation of their divisibility relations, and are well understood:.
• Mathematical structures with an addition operation but not a subtraction operation include commutative semigroups, commutative monoids, and semirings.
• They include magmas, semigroups, monoids, abelian groups, commutative rings, modules, lattices, vector spaces, algebras over a field, and associative and non-associative algebras.
• Two examples of useful transformation monoids given by an action of left multiplication are the functional variation of the difference list data structure, and the monadic Codensity transformation (a Cayley representation of a monad, which is a monoid in a particular monoidal functor category).
• The equational basis for the variety of all CMMs consists of the axioms for commutative monoids, as well as the following axioms:.
• Moreover, B(⋅,⋅) is functorial in the sense that B: C × D → C is a bifunctor for C being the category of abelian topological monoids and D being the category of pointed CW complexes.
• The word "Frobenioid" is a portmanteau of Frobenius and monoid, as certain Frobenius morphisms between Frobenioids are analogues of the usual Frobenius morphism, and some of the simplest examples of Frobenioids are essentially monoids.

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