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...

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...

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...

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...

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...

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...

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

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

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

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

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)...

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

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

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

continuousPages displaying wikidata descriptions as a fallback Topological semigroup – semigroup with continuous operationPages displaying wikidata descriptions...

is a topological space with continuous group action Topological module Topological semigroup – semigroup with continuous operationPages displaying wikidata...

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

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

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

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

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

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...

Thus, in such lossy systems, the renormalization group is, in fact, a semigroup, as lossiness implies that there is no unique inverse for each element...

introduced this notion hoping to solve the word problem for finitely presented semigroups. Only in 1947 was the problem shown to be undecidable— this result was...

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

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...

group action Topological ring – ring where ring operations are continuousPages displaying wikidata descriptions as a fallback Topological semigroup – semigroup...

forms); the theory is now considered by means of Brandt modules. Brandt semigroup H.-J. Hoehnke and M.-A. Knus (2004) A Tribute to (the work of) Heinrich...

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