monoid

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monoid

[′mä‚nȯid]
(mathematics)
A semigroup which has an identity element.

monoid

An operator * and a value x form a monoid if * is associative and x is its left and right identity.
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References in periodicals archive ?
For monoids [5,6], Morita equivalence turns out to be very close to isomorphism and thus not very interesting.
As an application of our results we get characterizations of a strongly regular class of a unitary ordered AG-groupoid (an ordered [AG.sup.**]-groupoid) in terms of its semilattices, one-sided (two-sided) ideals based on fuzzy sets, and generated commutative monoids.
In [3] authors proved that the universal upper bound for all the spherical Artin monoids is less than 4.
(xiv) In 2014, Myasnikov and Ushakov [36] cryptanalyzed the authentication scheme proposed by Shpilrain and public key encryption to use the hardness of the Conjugacy Search Problem in noncommutative monoids. A heuristic algorithm, was devised by those to solve these problems and declared that these protocols are anxious.
The recent paper [6] showed that monoids, as well as many generalizations, including monads, monoidal categories, skew monoidal categories [9], and internal versions of these, can be classified as simplicial maps from the Catalan simplicial set C to appropriately chosen simplicial sets.
Pseudopalindrome closure operators in free monoids. Theor.
Later chapters cover groups and monoids, homomorphisms, rings, and fields.
It avoids the usual groups first/rings first dilemma by introducing semigroups and monoids, the multiplicative structures of rings, along with groups.
The comparable problem for length four patterns has been partially addressed in [10], where several equivalences were shown to follow from a more general result on partially commutative monoids generated by a poset.
In section 5, monoids, semiring and lattices of neutrosophic soft sets associated with new operations have been determined completely.
Sincesticker systems with finite sets of axioms and sticker rules generate only regular languages-without restrictions [5], monoids [6] and permutation groups [7] had been associated to generate more powerful languages than regular languages.
The topics include Kostka systems and exotic t-structures for reflection groups, quantum deformations of irreducible representations of GL(mn) toward the Kronecker problem, generic extensions and composition monoids of cyclic quivers, blocks of truncated q-Schur algebras of type A, a survey of equivariant map algebras with open problems, and forced gradings and the Humphrey-Verma conjecture.