| Title | On preimages of ideals in certain non-commutative algebras |
| Author(s) | Viktor Levandovskyy |
| Text | On preimages of ideals in certain non-commutative algebras |
| Type | Article in Conference Proceedings |
| Abstract | In this paper we present new algorithms for
non--commutative Groebner ready algebras,
which enable one to perform advanced operations
with ideals and modules. In spite of the big interest
in algorithmic treatment of related problems,
preimage of ideal and central character decomposition
were not discussed before.
An important algorithm for computation of the kernel
of a homomorphism of left modules is described in the
form, optimized for performance.
We present these algorithms together with their
implementation in computer algebra system \textsc{Singular:Plural}
and detailed applications. |
| Keywords | Non-commutative algebra, PBW algebras, Groebner bases, Morphisms of non-commutative algebras, Central character decomposition, Intersection with subalgebra, Kernel of homomorphism |
| Length | 19 |
| ISBN | 1-58603-505-3 |
| Language | English |
| Series | NATO Science Series: Computer & Systems Sciences |
| Volume | 196 |
| Pages | 44-62 |
| Publisher | IOS Press |
| Address | Nieuwe Hemweg 6B, 1013 BG Amsterdam, The Netherlands |
| Year | 2005 |
| Month | April |
| Editor | G. Pfister, S. Cojocaru and V. Ufnarovski |
| Edition | 0 |
| Translation |
No |
| Refereed |
Yes |
| Book | Computational Commutative and Non-Commutative Algebraic Geometry |
| Sponsors | NATO |
| Conferencename | Computational Commutative and Non-Commutative Algebraic Geometry |
