n-fold Obstinate Filters in Pseudo-Hoop Algebras

Authors

  • A. Namdar Department of Mathematics‎, ‎Zarrin Dasht Branch‎, ‎Islamic Azad university‎, ‎Zarrin Dasht‎, ‎Iran.
  • M. Ally Kologani‎ Department of Mathematics‎, ‎Shahid Beheshti University‎, ‎Tehran‎, ‎Iran.
  • R. A. Borzooei Department of Mathematics‎, ‎Shahid Beheshti University‎, ‎Tehran‎, ‎Iran.
Abstract:

In this paper, we introduce the concepts of n-fold obstinate pseudo-hoop and n-fold obstinate filter in pseudo-hoops. Then we investigated these notions and proved some properties of them. Also, we discussed the relationship between n-fold obstinate pseudo-hoop and n-fold obstinate filter and other types of n-fold pseudo-hoops and n-fold filters such as n-fold (positive) implicative filter and n-fold fantastic filter in pseudo-hoops.

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Journal title

volume 12  issue 2

pages  147- 157

publication date 2020-04-01

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