A354495 Number of unital quantales on n elements, up to isomorphism.

1, 1, 3, 20, 149, 1488, 18554, 295292, 6105814

Offset

1,3

Comments

For definition of quantale see A354493.

A quantale is unital if it contains a unit element e such that x * e = e * x = x for all elements x.

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.

Arman Shamsgovara and P. Eklund, A Catalogue of Finite Quantales, GLIOC Notes, December 2019.

Links

Table of n, a(n) for n=1..9.

Crossrefs

Cf. A354493, A354494.

Sequence in context: A026303 A154627 A320350 * A336283 A091172 A091168

Adjacent sequences: A354492 A354493 A354494 * A354496 A354497 A354498

Keyword

nonn,more

Author

Arman Shamsgovara, May 28 2022

Status

approved