On Prime Hyperfilters (Hyperideals) in ^-Hyperlattices

Authors

  • Mohsen Amiri Bideshki Payame-Noor University
  • Reza Ameri University of Tehran
  • Arsham Broomand Saeid Shahid Bahonar University of Kerman

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i1.2660

Keywords:

Meet-hyperlattice, Strong meet-hyperlattice, Prime hyperideal, Prime hyperfilter, good complemented

Abstract

In this paper, we introduce the notions of strong †∧ â€-hyperlattices, hyperideals and hyperfilters in strong â€âˆ§â€-hyperlattices. Also, we give equivalence conditions for prime hyperfilters (hyperideal) in strong ∧-hyperlattices. Distributivity (dual distributivity) in â€âˆ§â€-hyperlattices,IA-hyperideals and prime hyperfilters in strong †∧ â€-hyperlattices are investigated.

Author Biographies

  • Mohsen Amiri Bideshki, Payame-Noor University
    Mathematics
  • Reza Ameri, University of Tehran
    Mathematics, Pofessor
  • Arsham Broomand Saeid, Shahid Bahonar University of Kerman
    Mathematics

Downloads

Published

2018-01-30

Issue

Section

Wave Theory

How to Cite

On Prime Hyperfilters (Hyperideals) in ^-Hyperlattices. (2018). European Journal of Pure and Applied Mathematics, 11(1), 169-188. https://doi.org/10.29020/nybg.ejpam.v11i1.2660