Semigroup theory

In abstract algebra, a monoid is a set equipped with an associative binary operation and an identity element. For example, the natural numbers with addition form a monoid, the identity element being .

In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. In mathematical analysis, the term also appears in the theory of one-parameter operator semigroups: see C0-semigroup.

special type of element of a set with respect to a binary composition operation on that set which, when composed with any element of the set, results in the absorbing element itself

concept in mathematics

five equivalence relations (H, L, R, D, J) defined on any semigroup or monoid

In mathematical analysis, a '''C0-semigroup, also known as a strongly continuous one-parameter semigroup''', is a generalization of the exponential function. Just as exponential functions provide solutions of scalar linear constant coefficient ordinary differential equations, strongly continuous semigroups provide solutions of linear constant coefficient ordinary differential equations in Banach spaces. Such differential equations in Banach spaces arise from e.g. delay differential equations and partial differential equations.

linear map between Hilbert spaces

algorithm in mathematics

theorem

regular semigroup in which every element has a unique inverse

in mathematics, some kind of formal language

semigroup such that, for every element x, there exists another element y such that xyx=x