Soju Filters in Hoop Algebras

Rajab Ali Borzooei; Gholam Reza Rezaei; Mona Aaly Kologhani; Young Bae  Jun

doi:10.18778/0138-0680.2020.28

Authors

Rajab Ali Borzooei Shahid Beheshti University, Department of Mathematics, Tehran, Iran Author http://orcid.org/0000-0001-7538-7885
Gholam Reza Rezaei University of Sistan and Baluchestan, Department of Mathematics, Zahedan, Iran Author http://orcid.org/0000-0001-5693-402X
Mona Aaly Kologhani Hatef Higher Education Institute Iran, Zahedan, Iran Author http://orcid.org/0000-0002-5234-2876
Young Bae Jun Shahid Beheshti University, Department of Mathematics, Tehran, Iran; Gyeongsang National University, Department of Mathematics Education, Jinju 52828, Korea Author http://orcid.org/0000-0002-0181-8969

DOI:

https://doi.org/10.18778/0138-0680.2020.28

Keywords:

Soju sub-hoop, soju filter, implicative soju filter

Abstract

The notions of (implicative) soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions for a soju filter to be implicative are displayed, and characterizations of an implicative soju filters are considered. The extension property of an implicative soju filter is established.

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