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1. Semigroup: In algebra, a semigroup is a set equipped with a binary operation satisfying certain properties similar to but less stringent than those of a group. A motivating example of a semigroup is the set of positive integers with multiplication as ... [100%] 2023-06-06
2. Semigroup: In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. The binary operation of a semigroup is most often denoted multiplicatively (just notation, not necessarily the elementary arithmetic multiplication ... (Algebraic structure consisting of a set with an associative binary operation) [100%] 2023-11-21 [Semigroup theory] [Algebraic structures]...
3. Semigrupo: Un semigrupo es un sistema algebraico de la forma ( A , ⊚ ) {\displaystyle (A,\circledcirc )} en la cual A es un conjunto no vacío, ⊚ {\displaystyle \circledcirc } es una operación interna definida en A: Un semigrupo cumple las dos siguientes propiedades: En otras ... [77%] 2024-03-07
4. Semigroup Forum: Semigroup Forum (print ISSN 0037-1912, electronic ISSN 1432-2137) is a mathematics research journal published by Springer. The journal serves as a platform for the speedy and efficient transmission of information on current research in semigroup theory. (Organization) [70%] 2023-04-01 [Mathematics journals] [Semigroup theory]...
5. Involution semigroup: A semigroup $(S,{\cdot})$ with an involution $*$, having the properties $(x\cdot y)^* = y^* \cdot x^*$ and $x^{{*}{*}} = x$. A projection in an involution semigroup is an element $e$ such that $e\cdot e = e = e^*$. (Mathematics) [70%] 2023-11-17
6. Aperiodic semigroup: In mathematics, an aperiodic semigroup is a semigroup S such that every element x ∈ S is aperiodic, that is, for each x there exists a positive integer n such that x = x. An aperiodic monoid is an aperiodic semigroup which ... [70%] 2023-04-07 [Semigroup theory]
7. Compact semigroup: In mathematics, a compact semigroup is a semigroup in which the sets of solutions to equations can be described by finite sets of equations. The term "compact" here does not refer to any topology on the semigroup. [70%] 2022-08-05 [Semigroup theory] [Formal languages]...
8. Catholic semigroup: In mathematics, a catholic semigroup is a semigroup in which no two distinct elements have the same set of inverses. The terminology was introduced by B. [70%] 2023-08-28 [Semigroup theory]
9. Inverse semigroup: 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 y in S in the sense that x = xyx and y = yxy, i.e ... [70%] 2023-04-12 [Algebraic structures] [Semigroup theory]...
10. 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 ... [70%] 2022-09-09 [Semigroup theory] [Theoretical computer science]...
11. Aperiodic semigroup: In mathematics, an aperiodic semigroup is a semigroup S such that every element x ∈ S is aperiodic, that is, for each x there exists a positive integer n such that x = x. An aperiodic monoid is an aperiodic semigroup which ... [70%] 2023-07-08 [Semigroup theory]
12. Transformation semigroup: In algebra, a transformation semigroup (or composition semigroup) is a collection of transformations (functions from a set to itself) that is closed under function composition. If it includes the identity function, it is a monoid, called a transformation (or composition ... [70%] 2024-01-06 [Semigroup theory]
13. Orthodox semigroup: In mathematics, an orthodox semigroup is a regular semigroup whose set of idempotents forms a subsemigroup. In more recent terminology, an orthodox semigroup is a regular E-semigroup. [70%] 2023-11-02 [Semigroup theory]
14. Automatic semigroup: In mathematics, an automatic semigroup is a finitely generated semigroup equipped with several regular languages over an alphabet representing a generating set. One of these languages determines "canonical forms" for the elements of the semigroup, the other languages determine if ... [70%] 2022-12-09 [Semigroup theory] [Computability theory]...
15. Monogenic semigroup: In mathematics, a monogenic semigroup is a semigroup generated by a single element. Monogenic semigroups are also called cyclic semigroups. [70%] 2022-06-29 [Algebraic structures] [Semigroup theory]...
16. Transformation semigroup: In algebra, a transformation semigroup (or composition semigroup) is a collection of transformations (functions from a set to itself) that is closed under function composition. If it includes the identity function, it is a monoid, called a transformation (or composition ... [70%] 2023-07-02 [Semigroup theory]
17. Empty semigroup: In mathematics, a semigroup with no elements (the empty semigroup) is a semigroup in which the underlying set is the empty set. Many authors do not admit the existence of such a semigroup. [70%] 2022-09-12 [Algebraic structures] [Semigroup theory]...
18. Arf semigroup: In mathematics, Arf semigroups are certain subsets of the non-negative integers closed under addition, that were studied by Cahit Arf (1948). They appeared as the semigroups of values of Arf rings. [70%] 2022-12-26 [Semigroup theory]
19. Clifford semigroup: A Clifford semigroup (sometimes also called "inverse Clifford semigroup") is a completely regular inverse semigroup. It is an inverse semigroup with \displaystyle{ xx^{-1}=x^{-1}x }[/math]. [70%] 2022-06-02 [Algebraic structures] [Semigroup theory]...
20. Ordered semigroup: In mathematics, an ordered semigroup is a semigroup (S,•) together with a partial order ≤ that is compatible with the semigroup operation, meaning that x ≤ y implies z•x ≤ z•y and x•z ≤ y•z for all x, y, z ... (Algebraic structure) [70%] 2023-05-12 [Semigroup theory]