On eJU-Algebras: An
Extension of JU-Algebras
Azeem Haider, Muhammad Imran Qureshi, Rimsha Jamil, Abdul Mueed
This article introduces a class of algebraic structures, called
eJU-algebras, as a natural extension of JU-algebras using structural
hypotheses. The extension arises by replacing classical notion of a constant
unit element in JU-algebras with a framework based on non-empty subsets,
leading to a broader and more flexible algebraic model. We investigate
fundamental properties of eJU-algebras and establish their theoretical
foundation by deriving them from traditional JU-algebras. This extension not
only enhances the structural richness of JU-algebras but also opens new
directions for the development of algebraic systems beyond conventional
constraints.
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