|
%I #8 Nov 06 2022 12:27:57
%S 1,1,9,106,1597,29720,663897,17747907,620659554
%N Number of balanced quantales on n elements, up to isomorphism.
%C For definition of quantale see A354493.
%C A quantale is balanced if T * T = T, where T denotes the top element of the underlying lattice.
%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), 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.
%K nonn,more
%O 1,3
%A _Arman Shamsgovara_, Sep 22 2022
|
