@inbook{10.4169/j.ctt6wpw6p.7,
ISBN = {9780883853559},
URL = {http://www.jstor.org/stable/10.4169/j.ctt6wpw6p.7},
abstract = {Anoperation(more precisely, abinary operation) on a setSis a function fromS × StoS. Standard examples are addition, multiplication, and composition of functions.Elementary texts often emphasize the “closure” property of an operation (or, sometimes, of an algebraic structure): the product of two elements inSmust be an element ofS. We have, instead, built this into the definition.Analgebraic structure(Bourbaki says amagma) is a set equipped with one or more operations. Such structures sometimes come with distinguished elements (such as identity elements) or functions associated with the operation (such},
bookauthor = {Fernando Q. Gouvêa},
booktitle = {A Guide to Groups, Rings, and Fields},
edition = {1},
pages = {17--28},
publisher = {Mathematical Association of America},
title = {Algebraic Structures},
volume = {48},
year = {2012}
}