A354494 Number of semi-unital quantales on n elements, up to isomorphism.

1, 1, 6, 64, 939, 17578, 403060, 11327795, 440735463

Offset: 1

Author

Arman Shamsgovara, May 28 2022

Keywords

• nonn
• more

Comments

For definition of quantale see A354493.

A quantale is semi-unital if for all elements x: x <= x * T and x <= T * x, where T is 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, to appear), LINZ2022, 39th Linz Seminar on Fuzzy Set Theory, Linz, Austria.

Crossrefs

Cf. A354493, A354495.