Name
Abstract | ||
|---|---|---|
The homomorphism and isomorphism theorems traditionally taught to students in a group theory or linear algebra lecture are by no means theorems of group theory. They are for a long time seen as general concepts of universal algebra. This article goes even further and identifies them as relational properties which to study does not even require the concept of an algebra. In addition it is shown how the homomorphism and isomorphism theorems generalize to not necessarily algebraic and thus relational structures. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/11828563_22 | Lecture Notes in Computer Science |
Keywords | Field | DocType |
general concept,relational property,linear algebra lecture,relational perspective,universal algebra,isomorphism theorem,long time,group theory,relational structure,means theorem,relational algebra,kleene algebra,linear algebra,algebraic structure,isomorphism,homomorphism | Discrete mathematics,Group isomorphism,Algebra,Algebra homomorphism,Coimage,Isomorphism,Homomorphism,Isomorphism theorem,Induced homomorphism (fundamental group),Universal algebra,Mathematics | Conference |
Volume | ISSN | ISBN |
4136 | 0302-9743 | 3-540-37873-1 |
Citations | PageRank | References |
2 | 0.39 | 4 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gunther Schmidt | 1 | 203 | 30.70 |