Definition of Monoids. Meaning of Monoids. Synonyms of Monoids

- is a free monoid. Transition monoids and syntactic monoids are used in describing finite-state machines. Trace monoids and history monoids provide a foundation...
- of free semigroups is called combinatorial semigroup theory. Free monoids (and monoids in general) are ****ociative, by definition; that is, they are written...
- is a topological monoid. A monoid object in the category of monoids (with the direct product of monoids) is just a commutative monoid. This follows easily...
- In abstract algebra, a monoid ring is a ring constructed from a ring and a monoid, just as a group ring is constructed from a ring and a group. Let R be...
- universal, in that all dependency-homomorphic (see below) monoids are in fact isomorphic. Trace monoids are commonly used to model concurrent com****tion, forming...
- relations show that ba commutes with both a and b. Presentations of inverse monoids and semigroups can be defined in a similar way using a pair ( X ; T ) {\displaystyle...
- language with syntactic monoid Z / 2 n Z {\displaystyle \mathbb {Z} /2^{n}\mathbb {Z} } . Trace monoids are examples of syntactic monoids. Marcel-Paul Schützenberger...
- semigroups and monoids. The set of continuous functions from a topological space to itself with composition of functions forms a monoid with the identity...
- Look up monoid in Wiktionary, the free dictionary. A monoid is an algebraic structure. Monoid may also refer to: Monoid (category theory), a mathematical...
- monoids were first presented by M.W. Shields. History monoids are isomorphic to trace monoids (free partially commutative monoids) and to the monoid of...