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semigroup homomorphism

См. также в других словарях:

  • Semigroup — This article is about the algebraic structure. For applications to differential equations, see C0 semigroup. In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation. A semigroup… …   Wikipedia

  • Semigroup action — In algebra and 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 in such a way that the product of two elements of the semigroup (using… …   Wikipedia

  • Semigroup with involution — In mathematics, in semigroup theory, an involution in a semigroup is a transformation of the semigroup which is its own inverse and which is an anti automorphism of the semigroup. A semigroup in which an involution is defined is called a… …   Wikipedia

  • Inverse semigroup — In mathematics, an inverse semigroup S is a semigroup in which every element x in S has a unique inverse y in S in the sense that x = xyx and y = yxy. Inverse semigroups appear in a range of contexts; for example, they can be employed in the… …   Wikipedia

  • Monoid — This article is about the mathematical concept. For the alien creatures in the Doctor Who adventure, see The Ark (Doctor Who). Coherence law for monoid unit In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a… …   Wikipedia

  • Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… …   Wikipedia

  • Semiautomaton — In mathematics and theoretical computer science, a semiautomaton is an automaton having only an input, and no output. It consists of a set Q of states, a set Σ called the input alphabet, and a function T: Q × Σ → Q called the transition function …   Wikipedia

  • Approximately finite dimensional C*-algebra — In C* algebras, an approximately finite dimensional, or AF, C* algebra is one that is the inductive limit of a sequence of finite dimensional C* algebras. Approximate finite dimensionality was first defined and described combinatorially by… …   Wikipedia

  • Algebraic structure — In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… …   Wikipedia

  • Free monoid — In abstract algebra, the free monoid on a set A is the monoid whose elements are all the finite sequences (or strings) of zero or more elements from A , with the binary operation of concatenation. It is usually denoted A lowast;. The identity… …   Wikipedia

  • Semilattice — In mathematics, a join semilattice (or upper semilattice) is a partially ordered set which has a join (a least upper bound) for any nonempty finite subset. Dually, a meet semilattice (or lower semilattice) is a partially ordered set which has a… …   Wikipedia

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