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ArticleOriginal scientific text

Title

bi-BL-algebra

Authors 1, 2

Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran
  2. Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

In this paper, we introduce the notion of a bi-BL-algebra, bi-filter, bi-deductive system and bi-Boolean elements of a bi-BL-algebra and deal with bi-filters in bi-BL-algebra. We study this structure and construct the quotient of bi-BL-algebra. Also present a classification for examples of proper bi-BL-algebras.

Keywords

ENG
bi-BL-algebra, bi-filter, bi-deductive system, bi-Boolean elements of a bi-BL-algebra

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2011/31/2
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Pages:
231-260
Main language of publication
English
Received
2011-08-14
Accepted
2011-09-21
Published
2011

DOI: 10.7151/dmgaa.1185

Exact and natural sciences