theoretical computer science, an action or act of a semigroup on a set is a rule which associates to each element of the semigroup a transformation of the set...

the semigroup analogue of a permutation group. A transformation semigroup of a set has a tautological semigroup action on that set. Such actions are characterized...

maps and equivalence relations however. See semigroup action. Instead of actions on sets, we can define actions of groups and monoids on objects of an arbitrary...

group action Semigroup action Ring Action (mathematics) Action (firearms), the mechanism that manipulates cartridges and/or seals the breech Action! (programming...

automaton SCXML Semiautomaton Semigroup action Sequential logic State diagram Synchronizing word Transformation semigroup Transition system Tree automaton...

Preston (1967) semigroup actions are called "operands". In category theory, semiautomata essentially are functors. A transformation semigroup or transformation...

result in finite semigroup theory, revealing a deep connection between finite automata and semigroups. Let T be a semigroup. A semigroup S that is a homomorphic...

set, a two-dimensional fractal shape A monoid acting on a set; see Semigroup action This disambiguation page lists articles associated with the title M-set...

J. William (1978). "Orbit structure of the Mobius transformation semigroup action on H-infinity (broadband matching)". Adv. Math. Suppl. Stud. 3: 129–197...

relation Ternary relation Transition monoid Transformation monoid Semigroup action Simulation preorder Bisimulation Operational semantics Kripke structure...

In group theory, an inverse semigroup (occasionally called an inversion semigroup) S is a semigroup in which every element x in S has a unique inverse...

with addition form a monoid, the identity element being 0. Monoids are semigroups with identity. Such algebraic structures occur in several branches of...

apply to semigroups. In ring theory, the centralizer of a subset of a ring is defined with respect to the multiplication of the ring (a semigroup operation)...

prime number theorem and disjointness of additive and multiplicative semigroup actions. Duke Mathematical Journal, 171(15), 3133-3200. Avigad, Jeremy; Donnelly...

lemma Semigroup Subsemigroup Free semigroup Green's relations Inverse semigroup (or inversion semigroup, cf. [1]) Krohn–Rhodes theory Semigroup algebra...

direct product of a right zero semigroup and a group, while a right abelian group is the direct product of a right zero semigroup and an abelian group. Left...

In mathematics, a topological semigroup is a semigroup that is simultaneously a topological space, and whose semigroup operation is continuous. Every topological...

maximal cone. A similar decomposition already occurs in the semigroup. The oscillator semigroup of Roger Howe concerns the special case of this theory for...

prime number theorem and disjointness of additive and multiplicative semigroup actions", Duke Mathematical Journal, 171 (15): 3133–3200, arXiv:2002.03498...

representation leads to a semigroup of contraction operators, introduced as the oscillator semigroup by Roger Howe in 1988. The semigroup had previously been...

easy to see that this generates a semigroup in some sense—it is not absolutely integrable and so cannot define a semigroup in the above strong sense. Many...

that is a topological space with continuous group action Topological module Topological semigroup Topological vector space – Vector space with a notion...

notion generalizes to semigroups and, as such, is a central construction in the Krohn–Rhodes structure theory of finite semigroups. Let A {\displaystyle...

or occasionally as the full linear semigroup or general linear monoid. Notably, it constitutes a regular semigroup. If one removes the restriction of...

semi-algebraic systems in computer algebra Regular semigroup, related to the previous sense *-regular semigroup Borel regular measure Cauchy-regular function...

their conjecture was proven in 2007 by Avraham Trahtman. A transformation semigroup is synchronizing if it contains an element of rank 1, that is, an element...

K[x]-module M is a K-module with an additional action of x on M by a group homomorphism that commutes with the action of K on M. In other words, a K[x]-module...

a topological space with continuous group action Topological module Topological ring Topological semigroup Topological vector space – Vector space with...

as a group G = ( G , ⋅ ) {\displaystyle G=(G,\cdot )} together with an action of a set Ω {\displaystyle \Omega } on G {\displaystyle G} : Ω × G → G :...

boundary condition. The mathematical setting for this problem can be the semigroup approach. To use this tool, we introduce the unbounded operator ΔD defined...