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

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

Offset

1,3

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.

Links

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

Crossrefs

Cf. A354493, A354495.

Sequence in context: A173500 A141008 A336114 * A370894 A258425 A365054

Adjacent sequences: A354491 A354492 A354493 * A354495 A354496 A354497

Keyword

nonn,more

Author

Arman Shamsgovara, May 28 2022

Status

approved