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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…
math.KT2010★ 1 cited
The group ${\rm K}_1(\mS_n)$ of the algebra of one-sided inverses of a polynomial algebra
V. V. Bavula
The algebra $\mS_n$ of one-sided inverses of a polynomial algebra in variables is obtained from by adding commuting, {\em left} (but not two-sided) inverses of the…