OFFSET
1,3
COMMENTS
For definition of quantale see A354493.
A quantale is integral if the top element in the underlying lattice is a unit element. Equivalently, it is both unital and balanced. Equivalently, it is both strictly left-sided and strictly right-sided.
REFERENCES
P. Eklund, J. G. García, U. Höhle, and J. Kortelainen, (2018). Semigroups in complete lattices. In Developments in Mathematics (Vol. 54). Springer Cham.
K. I. Rosenthal, Quantales and their applications. Longman Scientific and Technical, 1990.
Arman Shamsgovara, A catalogue of every quantale of order up to 9 (abstract), LINZ2022, 39th Linz Seminar on Fuzzy Set Theory, Linz, Austria.
Arman Shamsgovara and P. Eklund, A Catalogue of Finite Quantales, GLIOC Notes, December 2019.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Arman Shamsgovara, Sep 22 2022
STATUS
approved