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Number of unital quantales on n elements, up to isomorphism.
2

%I #16 Jun 23 2022 13:24:18

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

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

%C For definition of quantale see A354493.

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

%D P. Eklund, J. G. García, U. Höhle, and J. Kortelainen, (2018). Semigroups in complete lattices. In Developments in Mathematics (Vol. 54). Springer Cham.

%D K. I. Rosenthal, Quantales and their applications. Longman Scientific and Technical, 1990.

%D 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.

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

%Y Cf. A354493, A354494.

%K nonn,more

%O 1,3

%A _Arman Shamsgovara_, May 28 2022