Some Types of σ-filters in BL-algebras

被引:0
|
作者
Parvizi, Zahra [1 ]
Motamed, Somayeh [2 ]
Haghani, Farhad Khaksar [1 ]
机构
[1] Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran
[2] Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran
来源
Journal of Applied Logics | 2024年 / 11卷 / 05期
关键词
Bandpass filters - Boolean algebra - Wiener filtering;
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摘要
In this paper, we define σ-normal filters, σ-fantastic filters, σ-obstinate filters, σ-integral filters, σ-semi-integral filters in BL-algebras, then we state and prove some theorems to characterize these concepts. In this paper, we begin an algebraic investigation of new types of σ-filters in BL-algebras; which contains definitions, and their relationship. Finally, equivalent conditions are provided for easier study of these types of filters in BL-algebras and some important classes of BL-algebras and their connections are presented. © 2024, College Publications. All rights reserved.
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页码:595 / 614
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