Part of the Studies in Linguistics and Philosophy book series (SLAP, volume 30)
A group G is an algebra which consists of a set G and a single binary operation, which we will usually write as ο, but which may sometimes be written + or x : G = 〈G, ο〉. To be a group, G must satisfy the following conditions, the group axioms:
G is an algebra (i.e., ο completely defined and G closed under ο).
ο is associative.
G contains an identity element.
Each element in G has an inverse element.
KeywordsIdentity Element Integral Domain Positive Element Multiplicative Inverse Positive Rational Number
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Kluwer Academic Publishers 1993