group

Từ điển Máy Tính - Foldoc Dictionary

group

A group G is a non-empty set upon which a binary operator * is defined with the following properties for all a,b,c in G:

  Closure:     G is closed under *,  a*b in G   Associative: * is associative on G, (a*b)*c = a*(b*c)   Identity:    There is an identity element  e  such that         a*e = e*a = a.   Inverse:     Every element has a unique inverse a' such that         a * a' = a' * a = e.  The inverse is usually         written with a superscript -1. 

(1998-10-03)

• Từ đồng nghĩa / Synonyms:
  mathematical group, radical, chemical group, grouping, aggroup