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Research in Mathematics Volume 11, 2024 - Issue 1
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Research article

Some Results on Filters and Congruence Relations of Hoops

Gezahagne Mulat AddisDepartment of Mathematics, University of Gondar, Gondar, EthiopiaCorrespondence[email protected]
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Derso Abeje EngidawDepartment of Mathematics, University of Gondar, Gondar, EthiopiaView further author information
,
Litegebe WondieDepartment of Mathematics, University of Gondar, Gondar, EthiopiaView further author information
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Wondwosen Zemene NorahunDepartment of Mathematics, University of Gondar, Gondar, EthiopiaView further author information
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Menalu BazezewDepartment of Mathematics, University of Gondar, Gondar, EthiopiaView further author information
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Natnael TeshaleDepartment of Mathematics, University of Gondar, Gondar, EthiopiaView further author information
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Eyerusalem WoldeyohannesDepartment of Mathematics, University of Gondar, Gondar, EthiopiaView further author information
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Article: 2378544 | Received 30 Jul 2023, Accepted 05 Jul 2024, Published online: 22 Jul 2024

References

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  • Aglianó, P., Ferreirim, I. M. A., & Montagna, F. (2007). Basic hoops: An algebraic study of continuous t-norm. Studia Logica, 87(1), 73–98. https://doi.org/10.1007/s11225-007-9078-1
  • Alavi, S. Z., Borzooei, R. A., & Aaly Kologani, M. (2017). Filter theory of pseudo hoop-algebras. Italian Journal of Pure and Applied Mathematics, 37, 619–632.
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  • Bosbach, B. (1969). Komplementäre Halbgruppen. Axiomatik und Arithmetik. Axiomatik und Arithmetik, Fundamenta Mathematicae, 64(3), 257–287. https://doi.org/10.4064/fm-64-3-257-287
  • Bosbach, B. (1970). Komplementäre Halbgruppen Kongruenzen und Quotienten. Kongruenzen und Quotienten, Fundamenta Mathematicae, 69(1), 1–14. https://doi.org/10.4064/fm-69-1-1-14
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  • Chajda, I., Eigenthaler, G., & Langer, H.(2003). Congruence classes in universal algebras (Vol. 26. Research and Exposition in Mathematics.
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  • Haveshki, M., Saeid, A. B., & Eslami, E. (2006). Some types of filters in BL-algebras. Soft Computing, 10(8), 657–664. https://doi.org/10.1007/s00500-005-0534-4
  • Kondo, M., & Dudek, W. A. (2008). Filter theory of BL-algebras. Soft Computing, 12(5), 419–423. https://doi.org/10.1007/s00500-007-0178-7
  • Mal’cev, A. I. (1954). On the general theory of algebraic systems (Russian). Mathematical Sbornik, 35, 3–20.
  • Namdar, A., Borzooei, R. A., Borumand Saeid, A., & Aaly Kologani, M. (2017). Some results in hoop algebras. Journal of Intelligent & Fuzzy Systems, 32(3), 1805–1813. https://doi.org/10.3233/JIFS-152553

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