Algebraic Foundations and Applications of Boolean and Matrix Rings
Author: Chinibas Mahato DOI Link: https://doi.org/10.70798/Bijmrd/03070025 Abstract: Boolean rings and matrix rings represent two distinct yet foundational structures in ring theory, each contributing uniquely to both theoretical and applied mathematics. Boolean rings, characterised by idempotent elements and characteristic two, offer a categorical equivalence to Boolean algebras and model logical operations algebraically. Their structure is inherently …
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