Some properties of residual mapping and convexity in ∧-hyperlattices

Authors

  • Reza Ameri School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, P.O. Box 14155-6455, Teheran, Iran
  • Mohsen Amiri-Bideshki Department of Mathematics, Payame-Noor University, Tehran, Iran
  • A. Borumand Saeid Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran,

DOI:

https://doi.org/10.23755/rm.v27i1.30

Keywords:

residuated map, convex, down-set, hyperideal, hy- perfilter

Abstract

The aime of this paper is the study of residual mappings and convexity in hyperlattices. To get this point, we study principal down set in hyperlattices and we give some conditions for a mapping between two hyperlattices to be equivalent with a residual maping. Also, we investigate convex subsets in ∧-hyperlattices.

References

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Published

2014-12-14

Issue

Vol. 27 (2014)

Section

Volume 27-2014

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