ON INVERSE LIMIT OF A PROJECTIVE SYSTEM OF BL-ALGEBRAS

Document Type : Original Manuscript

Author

Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.

Abstract

In this paper, the inverse limits of a projective system of basic logic algebras (BL-algebras) are introduced, and their basic properties are studied. The set of congruences of a BL-algebra
is considered as a poset. Then, a quotient inverse system and a quotient inverse limit on it are constructed. Moreover, by setting filters of a BL-algebra, quotient projective and inverse systems are
constructed.

Keywords

References

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Journal of Algebraic Systems
Volume 12, Issue 1
September 2024
Pages 123-133

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