Non-commutative factorizations and finite-dimensional representations of
free algebras
Non-commutative factorizations and finite-dimensional representations of
free algebras
A very first step to develop non-commutative algebraic geometry is the arithmetic of polynomials in non-commuting variables over a commutative field, that is, the study of elements in free associative algebras. This investigation is presented as a natural extension of the classical theory in one variable by using Leavitt algebras, …