Research Article
Associative Binary Operations on a Set with Five Elements
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 76 - Issue 6 |
| Published: August 2013 |
| Authors: Amit Sehgal, Ravinder Kumar, Ombir Dahiya |
10.5120/13252-0725
|
Amit Sehgal, Ravinder Kumar, Ombir Dahiya . Associative Binary Operations on a Set with Five Elements. International Journal of Computer Applications. 76, 6 (August 2013), 27-33. DOI=10.5120/13252-0725
@article{ 10.5120/13252-0725,
author = { Amit Sehgal,Ravinder Kumar,Ombir Dahiya },
title = { Associative Binary Operations on a Set with Five Elements },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 76 },
number = { 6 },
pages = { 27-33 },
doi = { 10.5120/13252-0725 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A Amit Sehgal
%A Ravinder Kumar
%A Ombir Dahiya
%T Associative Binary Operations on a Set with Five Elements%T
%J International Journal of Computer Applications
%V 76
%N 6
%P 27-33
%R 10.5120/13252-0725
%I Foundation of Computer Science (FCS), NY, USA
Abstract
Associativity of a binary operation is one of most fundamental property in algebra. The number of binary operation on a set of only five elements is as large as 298,023,223,876,953,125. In this paper, the authors give the answer of the question "How many binary operations on a five elements are associative?" The main goal of this paper is to extend [3] and [5] for five element set.
References
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