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math.AG2009
The group of automorphisms of the algebra of one-sided inverses of a polynomial algebra, II
V. V. Bavula
Explicit generators are found for the group of automorphisms of the algebra of one-sided inverses of a polynomial algebra in variables. An analogue of the polynomial Jacobian h…
math.AG2009★ 7 cited
The group of automorphisms of the algebra of one-sided inverses of a polynomial algebra
V. V. Bavula
The algebra $\mS_n$ in the title is obtained from a polynomial algebra in variables by adding commuting, {\em left} (but not two-sided) inverses of the canonical generato…
math.AG2007
Generalizations of two theorems of Ritt on decompositions of polynomial maps
V. V. Bavula
Two theorems of J. F. Ritt on decompositions of polynomials maps are generalized to a more general situation: for, so-called, reduction monoids ( and $(K[x^2]x, \cir…