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A354498
Number of two-sided quantales on n elements, up to isomorphism.
0
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.
CROSSREFS
Sequence in context: A102009 A254747 A298698 * A135904 A145846 A317366
KEYWORD
nonn,more
AUTHOR
Arman Shamsgovara, Aug 03 2022
STATUS
approved