Invariant relations in a finite domain
Some results of an abstract inquiry into the concept of invariance are presented. The objects to be judged in their possible invariance are relations of arbitrary degrees in one single domain, when they are represented as sets of strings of elements in that domain. The domain itself is presumed to b...
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| Xuất bản năm: | URI:https://journals.openedition.org/msh, |
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| Tác giả chính: | |
| Định dạng: | Article ou chapitre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Mathématiques et sciences humaines
2006
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| Những chủ đề: | |
| Truy cập trực tuyến: | Accès Université d'Orléans et IFPM Accès Université d'Orléans et IFPM |
| Tóm tắt: | Some results of an abstract inquiry into the concept of invariance are presented. The objects to be judged in their possible invariance are relations of arbitrary degrees in one single domain, when they are represented as sets of strings of elements in that domain. The domain itself is presumed to be a finite size, and the transformations with respect to which invariance is judged are injective functions between parts of it. The study focuses on correspondences between algebraic structures of possible relations and algebraic structures of possible transformations, as they are dually interrelated through the invariance condition. |
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