Some results on semi maximal filters in BL−algebras

Document Type : Special Issue Dedicated to Prof. Esfandiar Eslami

Authors

1 Department of Pure Mathematics and Calculations, Faculty of Mathematics, Higher Education Complex of Bam, Kerman, Iran.

2 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.

Abstract

In this article, we present an equivalent definition for the concept of the semi maximal filter in $BL-$algebras and some of their properties are studied. At first, we focus on elucidating the relationship between semi maximal filters and minimal prime filters. By conducting this analysis, some classifications for semi maximal filters are given.

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Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 13, Issue 4 - Serial Number 29
Special issue dedicated to Professor Esfandiar Eslami
December 2024
Pages 131-141

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History

  • Receive Date: 03 June 2024
  • Revise Date: 10 June 2024
  • Accept Date: 27 September 2024

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