a set together with an associative binary operation
semigroup in American English
(ˈsemiˌɡruːp)
noun
Math
an algebraic system closed under an associative binary operation
Word origin
[1925–30; semi- + group]This word is first recorded in the period 1925–30. Other words that entered Englishat around the same time include: buildup, distinctive feature, dropout, gimmick, payloadsemi- is a combining form borrowed from Latin, meaning “half,” freely prefixed to Englishwords of any origin, now sometimes with the senses “partially,” “incompletely,” “somewhat”.Other words that use the affix semi- include: semiautomatic, semidetached, semimonthly, semisophisticated
Examples of 'semigroup' in a sentence
semigroup
The same, if we replace the word "semigroup" by "groupoid", "hypersemigroup" by "hypergroupoid".
Niovi Kehayopulu 2018, 'Fuzzy Right (Left) Ideals in Hypergroupoids and Fuzzy Bi-ideals in Hypersemigroups',Armenian Journal of Mathematicshttp://armjmath.sci.am/index.php/ajm/article/view/196. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Semigroup properties are interconnected with properties of the algebraic structure of the automaton.
Ekaterina Khvorostukhina, Vladimir Molchanov 2018, 'Universal Hypergraphic Automata Representation by Autonomous Input Symbols', Modelirovanie i Analiz Informacionnyh Sistemhttps://www.mais-journal.ru/jour/article/view/757. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The pursued approach combines the “backstepping method” and “semigroup theory”.
Abdelhadi Elharfi 2010, 'Feedback Controller Stabilizing Vibrations of a Flexible Cable Related to an OverheadCrane', Mathematical Problems in Engineeringhttp://dx.doi.org/10.1155/2010/984927. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We suppose that the linear part generates a compact analytic semigroup.
Khalil Ezzinbi, Amor Rebey 2012, 'Existence of solutions in the alpha-norm for partial functional differential equationswith infinite delay', Electronic Journal of Qualitative Theory of Differential Equationshttp://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1328. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)