Namespaces
Variants
Actions

Difference between revisions of "Free groupoid"

From Encyclopedia of Mathematics
Jump to: navigation, search
(Importing text file)
 
(moving text to Free magma)
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
−
A free algebra in the variety of groupoids. The free groupoid on a set <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f041/f041560/f0415601.png" /> of free generators coincides with the set of all bracketed words (cf. [[Word|Word]]) in the elements of <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f041/f041560/f0415602.png" /> (each symbol is assumed to be taken in brackets, and the brackets are arranged so that each time only two brackets are multiplied out). The product of the words (a) and (b) is the word ((a)(b)).
+
#REDIRECT [[Free magma]]

Latest revision as of 18:09, 13 December 2015

Redirect to:

How to Cite This Entry:
Free groupoid. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Free_groupoid&oldid=16388
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article
Retrieved from "https://encyclopediaofmath.org/index.php?title=Free_groupoid&oldid=36920"