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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

Original entry on oeis.org

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

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Author

Arman Shamsgovara, Aug 03 2022

Keywords

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

Cf. A354493, A354496.

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