International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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Volume 76 - Issue 6 |
Published: August 2013 |
Authors: Amit Sehgal, Ravinder Kumar, Ombir Dahiya |
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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
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.