Finite approximate subrings in general rings admit a structure theorem where nilpotent quotients obstruct additive and multiplicative growth, yielding a general sum-product framework and a ring-theoretic analogue of Gromov's polynomial growth theorem.
Berlin etc.: Springer-Verlag, 1991 (cit
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On the structure of approximate rings
Finite approximate subrings in general rings admit a structure theorem where nilpotent quotients obstruct additive and multiplicative growth, yielding a general sum-product framework and a ring-theoretic analogue of Gromov's polynomial growth theorem.