semigroup

[计] 半群

词形变化

semigroups 复数 semigroups

释义与例句

n.
  1. 1.

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

    半群

    数学

    1988, A. Ya Aǐzenshtat, Boris M. Schein (translator), On Ideals of Semigroups of Endomorphisms, Ben Silver (editor), Nineteen Papers on Algebraic Semigroups, American Mathematical Society 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.

相关短语

semigroup homomorphism semigroup homomorphisms inverse semigroup

词源

From semi- + group, reflecting the fact that not all the conditions required for a group are required for a semigroup. (Specifically, the requirements for the existence of identity and inverse elements are omitted.)

来源：wiktionary