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math.RA2010★ 3 cited
An analogue of the Conjecture of Dixmier is true for the algebra of polynomial integro-differential operators
V. V. Bavula
Let be the Weyl algebra and $\mI_1:= K\langle x, \frac{d}{dx}, \int \rangle$ be the algebra of polynomial integro-differential operators ove…
math.RA2010
An analogue of Hilbert's Syzygy Theorem for the algebra of one-sided inverses of a polynomial algebra
V. V. Bavula
An analogue of Hilbert's Syzygy Theorem is proved for the algebra $\mS_n (A)$ of one-sided inverses of the polynomial algebra over an arbitrary ring : $$ \lgl…