English

On the Chang's group of BL-algebras

Logic 2013-01-04 v2

Abstract

For an arbitrary BL-algebra L, we construct an associated lattice Abelian group that coincides with Chang's group 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 compute examples of this group.

Keywords

Cite

@article{arxiv.1212.5660,
  title  = {On the Chang's group of BL-algebras},
  author = {Jean B. Nganou and Celestin Lele},
  journal= {arXiv preprint arXiv:1212.5660},
  year   = {2013}
}

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20 pages