Information om | Engelska ordet SEMIGROUPS

Exempel på hur man kan använda SEMIGROUPS i en mening

• For semigroups for which additive notation is commonly used, like elliptic curves used in cryptography, this method is also referred to as double-and-add.
• Particular definitions of congruence can be made for groups, rings, vector spaces, modules, semigroups, lattices, and so forth.
• The most important semigroups are, respectively, the heat semigroup, Riemann-Liouville semigroup, and Brownian motion and other infinitely divisible processes.
• The Krohn–Rhodes theorem for finite semigroups states that every finite semigroup S is a divisor of a finite alternating wreath product of finite simple groups, each a divisor of S, and finite aperiodic semigroups (which contain no nontrivial subgroups).
• Semigroupoids generalise semigroups in the same way that small categories generalise monoids and groupoids generalise groups.
• In the late 80's and 90's, Arveson played a leading role in developing the theory of one-parameter semigroups of *-endomorphisms on von Neumann algebras - also known as E-semigroups.
• Notice that although every group becomes a semigroup when the identity as a constant is omitted (and/or the inverse operation is omitted), the class of groups does not form a subvariety of the variety of semigroups because the signatures are different.
• In mathematics, the bicyclic semigroup is an algebraic object important for the structure theory of semigroups.
• Considering subgroups, and in particular maximal subgroups, of semigroups often allows one to apply group-theoretic techniques in semigroup theory.
• Congruences are defined on inverse semigroups in exactly the same way as for any other semigroup: a.
• Mathematical structures with an addition operation but not a subtraction operation include commutative semigroups, commutative monoids, and semirings.
• As in the study of semigroups, the structure of semiheaps is described in terms of ideals with an "i-simple semiheap" being one with no proper ideals.
• Locally inverse semigroups: a regular semigroup S is locally inverse if eSe is an inverse semigroup, for each idempotent e.
• Absorbing elements are particularly interesting for semigroups, especially the multiplicative semigroup of a semiring.
• He also found a six-element semigroup that generates a variety with a continuum of subvarieties, and varieties of semigroups having no irreducible base of identities.
• They include magmas, semigroups, monoids, abelian groups, commutative rings, modules, lattices, vector spaces, algebras over a field, and associative and non-associative algebras.
• In computer science, Cayley representations can be applied to improve the asymptotic efficiency of semigroups by reassociating multiple composed multiplications.
• Shum "Rpp semigroups, its generalizations and special subclasses" in Advances in Algebra and Combinatorics edited by K P Shum et al.
• Cancellative semigroups are considered to be very close to being groups because cancellability is one of the necessary conditions for a semigroup to be embeddable in a group.
• His work in probability theory included work on random variables in compact groups, connections between measurability and connectivity, generalized convolutions, and decomposability semigroups.

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