intersection of ideals with non-commutative subalgebras
Computation of an intersection of a left ideal with a subalgebra, which is not fully investigated until now, is important for different areas of mathematics.We present an algorithm for the computation of the preimage of a left ideal under a morphism of non-commutative GR -algebras, and show both its abilities and limitations.The main computational tools are the elimination of variables by means of Grbner bases together with the constructive treatment of opposite algebras and the utilization of a special bimodule structure.
elimination homomorphism of algebras non-commutative algebra intersection with subalgebra groebner bases preimage of ideal restriction