Smarandache Strong Hoop-algebras

Authors

  • Reza Tayebi Khorami Department of Mathematic, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
  • Arsham Borumand Saeid Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.

DOI:

https://doi.org/10.30495/jme.v13i0.807

Keywords:

Hoop-algebra, BL-algebra, MV -algebra, Smarandache hoop-algebra, Q-Smarandache filter, Smarandache 2-structure, Smarandache 2-filter.

Abstract

In this paper we define the Smarandache hoop-algebras
and Q-Smarandache filters, we obtain some related results. After that,
by considering the notions of these filters we determine relationships
between filters in hoop-algebras and Q-Smarandache filters in hoop-
algebras. Finally, we introduce the concept of Smarandache 2-structure
and Smarandache 2-filter on hoop-algebras.

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Published

2019-03-13

Issue

Vol. 13

Section

Vol. 13, No. 3, (2019)

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