Name
Abstract | ||
|---|---|---|
In universal algebra, clones are used to study algebras abstracted from their signature. The aim of this paper is to give a brief introduction to the theory thereof. We give basic definitions and examples, and we present several results and open problems, selected from almost one hundred years of ongoing research. We also discuss what is arguably the most important tool to study clones - the Galois connection between operations and relations built on the notion of preservation. We conclude the paper by explaining the connection between clones and the closely related category theoretic notion of Lawvere theory. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.entcs.2014.02.006 | Electr. Notes Theor. Comput. Sci. |
Keywords | Field | DocType |
related category theoretic notion,lawvere theory,universal algebra,open problem,galois connection,basic definition,brief introduction,ongoing research,hundred year,short introduction,important tool,clones | Galois connection,Lawvere theory,Discrete mathematics,Algebra,Computer science,Pure mathematics,Universal algebra | Journal |
Volume | ISSN | Citations |
303, | 1571-0661 | 4 |
PageRank | References | Authors |
0.80 | 9 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sebastian Kerkhoff | 1 | 22 | 5.93 |
| Reinhard Pöschel | 2 | 30 | 9.36 |
| Friedrich Martin Schneider | 3 | 7 | 4.23 |