Chang-Mundici construction of an enveloping unital lattice-group of a BL-algebra

Celestin Lele; Jean Bernard Nganou

doi:10.29007/8hz9

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Chang-Mundici construction of an enveloping unital lattice-group of a BL-algebra

4 pages•Published: July 28, 2014

Celestin Lele and Jean Bernard Nganou

Abstract

For any BL-algebra L, we construct an associated lattice ordered Abelian group that coincides with the Chang’s l-group of an MV-algebra when the BL-algebra is an MV-algebra. We prove that the Chang’s group of the MV-center of any BL-algebra L is a direct summand in the above group. We also find a direct description of the complement of the Chang’s group of the MV-center in terms of the filter of dense elements of L. Finally, we compute some examples of the introduced group.

Keyphrases: BL-algebra, good sequence, l-group, MV-algebra, o-group

In: Nikolaos Galatos, Alexander Kurz and Constantine Tsinakis (editors). TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic, vol 25, pages 167--170

Links:	https://easychair.org/publications/paper/gG
	https://doi.org/10.29007/8hz9

BibTeX entry

@inproceedings{TACL2013:Chang_Mundici_construction_of_an,
  author    = {Celestin Lele and Jean Bernard Nganou},
  title     = {Chang-Mundici construction of an enveloping unital lattice-group of a BL-algebra},
  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},
  pages     = {167--170},
  year      = {2014},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {https://easychair.org/publications/paper/gG},
  doi       = {10.29007/8hz9}}

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