Classifies (σ, τ)-derivations on integral extensions and algebraic number fields, conjectures inner/outer status for cyclotomic rings of integers with specific n, and constructs Hom-IDD codes.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2024 2verdicts
UNVERDICTED 2representative citing papers
Characterizes (σ, τ)-derivations on algebraic integer rings of quadratic, cyclotomic, and bi-quadratic fields; solves twisted derivation problem in some cases; conjectures for cyclotomic; applies to Hom-IDD code construction.
citing papers explorer
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Twisted Derivations in Algebraic Number Fields
Classifies (σ, τ)-derivations on integral extensions and algebraic number fields, conjectures inner/outer status for cyclotomic rings of integers with specific n, and constructs Hom-IDD codes.
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$({\sigma}, {\tau})$-Derivations of Number Rings with Coding Theory Applications
Characterizes (σ, τ)-derivations on algebraic integer rings of quadratic, cyclotomic, and bi-quadratic fields; solves twisted derivation problem in some cases; conjectures for cyclotomic; applies to Hom-IDD code construction.