derivations 1differential algebra 1exponential map 1formal power series 1holonomic series 1smooth germs 1
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math.AC2026
When does a derivation of a ring admit the exponential?
Genrich Belitskii, Alberto F. Boix, Dmitry Kerner
The paper investigates when the exponential of an x‑adically nilpotent derivation defines a formal automorphism that preserves various subrings of formal power series, providing cr…
math.AC2026
Block-diagonal reduction of matrices over commutative rings I. (Decomposition of modules vs decomposition of their support)
Dmitry Kerner, Victor Vinnikov
Consider rectangular matrices over a commutative ring R. Assume the ideal of maximal minors factorizes, I_m(A)=J_1*J_2. When is A left-right equivalent to a block-diagonal matrix?…