A354498 Number of two-sided quantales on n elements, up to isomorphism.

1, 2, 8, 47, 354, 3277, 36506, 490983, 8301353

Offset

1,2

Comments

A quantale is two-sided if it is both left- and right-sided. See A354493 for the definition of a quantale and A354496 for the definition of left- and right-sided quantales.

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, A354496.

Sequence in context: A102009 A254747 A298698 * A135904 A145846 A317366

Adjacent sequences: A354495 A354496 A354497 * A354499 A354500 A354501

Keyword

nonn,more

Author

Arman Shamsgovara, Aug 03 2022

Status

approved