Engineering↗
Splitting Separable Algebras over Finite Fields
Decomposing a finite-dimensional commutative algebra over a finite field into its simple components, generalising polynomial factorisation.
Tag
idempotent
Every page in the KEVOS library tagged idempotent. 3 pages.
Engineering↗
The Buchmann-Lenstra Prime Decomposition Method
Decomposing any prime, including those dividing the index, by splitting the algebra of the order modulo that prime.
Engineering↗
Boolean Rings and the Boolean Algebra-Ring Correspondence
Boolean rings, the mutual translation with Boolean algebras, term equivalence as the precise relationship, and why the ring picture makes ideals and the prime spectrum available.
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