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<p>In this article, with the aim of further investigating <i>BL</i>-algebras, the concepts of a prime less filter is introduced and discussed. Also, for the faster study of prime less filters in <i>BL</i>-algebras, some equivalent conditions are obtained. We prove some relations between this filter and other types of filters in <i>BL</i>-algebras. Also, some results that proven for prime filters in <i>BL</i>-algebras, to the case of prime less filters are proven. In this way, we find new properties for the primary filters in <i>BL</i>-algebras. Also, the notions of prime less <i>BL</i>-algebras (<i>Pls</i>–<i>BL</i>-algebras) are introduced and investigated.</p>

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Some results on primary filters in BL-algebras

  • 期刊论文

  • 发表日期：

    2025年2月11日

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  • Javad Moghaderi

摘要

In this article, with the aim of further investigating BL-algebras, the concepts of a prime less filter is introduced and discussed. Also, for the faster study of prime less filters in BL-algebras, some equivalent conditions are obtained. We prove some relations between this filter and other types of filters in BL-algebras. Also, some results that proven for prime filters in BL-algebras, to the case of prime less filters are proven. In this way, we find new properties for the primary filters in BL-algebras. Also, the notions of prime less BL-algebras (Pls–BL-algebras) are introduced and investigated.