一类具有右布尔提升性质的伪bl -代数

IF 0.3 Q4 MATHEMATICS

Transactions of A Razmadze Mathematical Institute Pub Date : 2018-08-01 DOI:10.1016/j.trmi.2017.09.003

B. Barani nia , A. Borumand Saeid

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引用次数: 1

摘要

本文将伪bl -代数的右布尔提升性质(左布尔提升性质)RBLP (LBLP)定义为所有布尔元素都可以模取每个右滤波器(左滤波器)的提升性质，然后研究了RBLP (LBLP)对伪bl -代数的直积的行为。我们分别引入了RBLP (LBLP)的强化和弱化条件，为伪bl -代数中RBLP (LBLP)的研究开辟了新的途径。

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Classes of pseudo BL-algebras with right Boolean lifting property

In this paper, we define the right Boolean lifting property (left Boolean lifting property) RBLP (LBLP) for pseudo BL-algebra to be the property that all Boolean elements can be lifted modulo every right filter (left filter) and next we study the behavior of RBLP (LBLP) with respect to direct products of pseudo BL-algebra. We introduce some conditions, which turn out to be a strengthening and a weakling of RBLP (LBLP) respectively and which open new ways of approaching the study of the RBLP (LBLP) in pseudo BL-algebras.

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来源期刊

Transactions of A Razmadze Mathematical Institute MATHEMATICS-

CiteScore

0.50

自引率

50.00%

发文量

审稿时长

22 weeks