A357295 Number of balanced quantales on n elements, up to isomorphism.

1, 1, 9, 106, 1597, 29720, 663897, 17747907, 620659554

Offset: 1

Author

Arman Shamsgovara, Sep 22 2022

Keywords

• nonn
• more

Comments

For definition of quantale see A354493.

A quantale is balanced if T * T = T, where T denotes the top element of the underlying lattice.

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

Cf. A354493.