Viktor Levandovskyy,
"Intersection of Ideals with Non-commutative Subalgebras"
, Serie SFB F013 Reports, Nummer 2006-14, 4-2006
Original Titel:
Intersection of Ideals with Non-commutative Subalgebras
Sprache des Titels:
Englisch
Original Kurzfassung:
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 Gr\"obner bases together with the constructive treatment of opposite algebras and the utilization of a special bimodule structure
Sprache der Kurzfassung:
Englisch
Serie:
SFB F013 Reports
Number:
2006-14
Erscheinungsmonat:
4
Erscheinungsjahr:
2006
Anzahl der Seiten:
16
Notiz zur Publikation:
the final version has been accepted for the Proceedings ISSAC 2006
SFB Report