Coproducts of Distributive Lattice based Algebras

1 pages•Published: July 28, 2014

Leonardo Manuel Cabrer and Hilary Priestley

Abstract

The analysis of coproducts in varieties of algebras has generally been variety-specific, relying on tools tailored to particular classes of algebras. A recurring theme, however, is the use of a categorical duality. Among the dualities and topological representations in the literature, natural dualities are particularly well behaved with respect to coproduct. Since (multisorted) natural dualities are based on hom-functors, they send coproducts into cartesian products.
We carry out a systematic study of coproducts for finitely generated quasivarieties A that admit a (term) reduct in the variety D of bounded distributive lattices.

In: Nikolaos Galatos, Alexander Kurz and Constantine Tsinakis (editors). TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic, vol 25, pages 4.

Links:	https://easychair.org/publications/paper/gP
	https://doi.org/10.29007/vx1v

BibTeX entry

@inproceedings{TACL2013:Coproducts_Distributive_Lattice_based,
  author    = {Leonardo Manuel Cabrer and Hilary Priestley},
  title     = {Coproducts of Distributive Lattice based Algebras},
  booktitle = {TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic},
  editor    = {Nikolaos Galatos and Alexander Kurz and Constantine Tsinakis},
  series    = {EPiC Series in Computing},
  volume    = {25},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/gP},
  doi       = {10.29007/vx1v},
  pages     = {4},
  year      = {2014}}

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