著者

Arase T

雑誌

Hokkaido University Preprint Series in Mathematics

巻号頁・発行日

vol.393, pp.1-10, 1997-10-01

---

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.