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A remark on the quantale structure of multisets
| Title: | A remark on the quantale structure of multisets |
| Authors: | Arase, T. Browse this author |
| Issue Date: | 1-Oct-1997 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 393 |
| Start Page: | 1 |
| End Page: | 10 |
| Abstract: | The set P* (I) of finite multisets on a set J has a natural quantale structure. In this note we study the quantic nuclei of this quantale, and show that they are parametrized by those subsets of the infinite multisets P** (I) whose elements are mutually uncomparable. We also study the quantic nuclei of another natural quantale structure on P*(I) with respect to the opposite order. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69143 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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