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This subtopic studies differential and difference algebra, connecting algebraic structures with derivations, automorphisms, and functional equations.
12H05 treats differential algebra in differential and difference algebra. It emphasizes canonical definitions, core structural results, and methods used in modern algebra and arithmetic research.
Differential algebra (Wikipedia)
Used to frame rigorous statements, choose suitable extension or valuation tools, and support both theoretical proofs and symbolic computation workflows.
12H10 treats difference algebra in differential and difference algebra. It emphasizes canonical definitions, core structural results, and methods used in modern algebra and arithmetic research.
Difference algebra (Wikipedia)
Used to frame rigorous statements, choose suitable extension or valuation tools, and support both theoretical proofs and symbolic computation workflows.
12H20 treats abstract differential equations in differential and difference algebra. It emphasizes canonical definitions, core structural results, and methods used in modern algebra and arithmetic research.
Abstract differential equations (Wikipedia)
Used to frame rigorous statements, choose suitable extension or valuation tools, and support both theoretical proofs and symbolic computation workflows.
12H25 treats p-adic differential equations in differential and difference algebra. It emphasizes canonical definitions, core structural results, and methods used in modern algebra and arithmetic research.
p-adic differential equations (Wikipedia)
Used to frame rigorous statements, choose suitable extension or valuation tools, and support both theoretical proofs and symbolic computation workflows.