拟补BE代数

Q4 Mathematics

Discussiones Mathematicae - General Algebra and Applications Pub Date : 2021-09-06 DOI:10.7151/dmgaa.1365

V. V. Kumar, M. S. Rao, S. Vali

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引用次数: 0

摘要

摘要在交换BE代数中引入了O-滤子的概念。导出了BE代数的每个强正则滤波器成为O-滤波器的等价条件。引入了拟补BE代数的概念，并用对偶零化子刻画了这几类BE代数。引入了强正则滤子的概念，然后用强正则滤器和O-滤子刻画了拟补BE代数和强BE代数。

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Quasi-Complemented BE-Algebras

Abstract The concept of O-filters is introduced in commutative BE-algebras. An equivalent condition is derived for every strong regular filter of a BE-algebra to become an O-filter. The concept of quasi-complemented BE-algebras is introduced and also characterized these classes of BE-algebras in terms of dual annihilators. The concept of strong regular filter is introduced and then quasi-complemented BE-algebras and strong BE-algebras are characterized in terms of strong regular filters and O-filters.

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来源期刊

Discussiones Mathematicae - General Algebra and Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

26 weeks