English

BL-rings

Logic 2016-09-20 v1

Abstract

The main goal of this article is to introduce BL-rings, i.e., commutative rings whose lattices of ideals can be equipped with a structure of BL-algebra. We obtain a description of such rings, and study the connections between the new class and well known classes such as multiplications rings, Baer rings, Dedekind rings.

Keywords

Cite

@article{arxiv.1609.05261,
  title  = {BL-rings},
  author = {O. A. Heubo-kwegna and C. Lele and J. B. Nganou},
  journal= {arXiv preprint arXiv:1609.05261},
  year   = {2016}
}

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11 pages