On the finiteness of Gröbner bases computation in quotients of the free algebra
Författare
Summary, in English
We investigate, for quotients of the non-commutative polynomial
ring, a property that implies finiteness of Gröbner bases
computation, and examine its connection with Noetherianity.
We propose a Gröbner bases theory for our factor algebras, of particular interest for
one-sided ideals, and show a few
applications, e.g. how to compute (one-sided) syzygy modules.
ring, a property that implies finiteness of Gröbner bases
computation, and examine its connection with Noetherianity.
We propose a Gröbner bases theory for our factor algebras, of particular interest for
one-sided ideals, and show a few
applications, e.g. how to compute (one-sided) syzygy modules.
Avdelning/ar
- Matematik LTH
- Algebra
Publiceringsår
2001
Språk
Engelska
Sidor
157-180
Publikation/Tidskrift/Serie
Applicable Algebra in Engineering, Communication and Computing
Volym
11
Issue
3
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Mathematics
Nyckelord
- non-commutative algebras
- Grobner bases
- Dickson's lemma
- Noetherianity
- syzygies
- POLYNOMIAL-RINGS
Status
Published
Forskningsgrupp
- Algebra
ISBN/ISSN/Övrigt
- ISSN: 1432-0622