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Equivalence Systems Derived from Partial Orders
| Content Provider | Semantic Scholar |
|---|---|
| Author | Behrendt, Gerhard |
| Copyright Year | 1988 |
| Abstract | Let R be a binary r e l a t i o n on a s e t X, and l e t S(R) = e X*x|xRy}. We de f ine equivalence r e l a t i o n s R̂ and R, on S(R) by (x., , x 2 ) R i ( y 1 , y 2 ) i f and only i f x± = ( f o r i = 1 , 2 ) . We show t h a t i f R i s a p a r t i a l order then (X,R) i s uniquely determined up to isomorphism or dual isomorphism by the der ived equivalence system (S(R) ,R2})» a n d t i l a t i t has the same automorphism group. Furthermore, every group i s isomorphic to the automorphism group of an equivalence system der ived from a p a r t i a l o rde r . We give c r i t e r i a t o de - |
| Starting Page | 677 |
| Ending Page | 684 |
| Page Count | 8 |
| File Format | PDF HTM / HTML |
| DOI | 10.1515/dema-1988-0311 |
| Alternate Webpage(s) | http://www.degruyter.com/downloadpdf/j/dema.1988.21.issue-3/dema-1988-0311/dema-1988-0311.xml |
| Alternate Webpage(s) | https://doi.org/10.1515/dema-1988-0311 |
| Volume Number | 21 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
