semigroup

semigroup englanniksi

1. Any set for which there is a binary operation that is closed and associative.

2. {{quote-text|en|year=1961|author=Alfred Hoblitzelle Clifford; G. B. Preston|title=The Algebraic Theory of Semigroups|page=70

3. 1988, A. Ya Aǐzenshtat, Boris M. Schein (translator), ''On Ideals of Semigroups of Endomorphisms'', Ben Silver (editor), ''Nineteen Papers on Algebraic Semigroups'', (w) Translations, Series 2, Volume 139, page 11,

It follows naturally that various classes of ordered sets can be characterized by semigroup properties of endomorphism semigroups.

4. {{quote-book|en|year=2012|author=Jorge Almeida; Benjamin Steinberg|chapter=Syntactic and Global Subgroup Theory: A Synthesis Approach|editors=Jean-Camille Birget; Stuart Margolis; John Meakin; Mark V. Sapir|title=Algorithmic Problems in Groups and Semigroups|pageurl=https://books.google.com.au/books?id=TobuBwAAQBAJ&pg=PA5&dq=%22semigroup%22%7C%22semigroups%22&hl=en&sa=X&ved=0ahUKEwijg6fD1YjNAhXBq5QKHZ4KC-sQ6AEI5AEwJAv=onepage&q=%22semigroup%22%7C%22semigroups%22&f=false|page=5