On some basic applications of Gröbner bases in non-commutative polynomial rings

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Sammanfattning

In this paper we generalize some basic applications of Gröbner bases
in commutative polynomial rings to the non-commutative case. We define
a non-commutative elimination order. Methods
of finding the intersection of two ideals are given. If both the
ideals are monomial we deduce a finitely written basis for their intersection. We find the kernel of a
homomorphism, and decide membership of the image. Finally we show how to obtain a Gröbner basis for an
ideal by considering a related homogeneous ideal.
Originalspråkengelska
Titel på värdpublikationLondon Math. Soc. Lecture Note Ser.
RedaktörerBruno Buchberger, Franz Winkler
FörlagCambridge University Press
Sidor463-472
Volym251
ISBN (tryckt)0-521-63298-6
StatusPublished - 1998
Evenemang33 Years of Gröbner Bases - Linz
Varaktighet: 1998 feb. 2 → …

Publikationsserier

Namn
Volym251

Konferens

Konferens33 Years of Gröbner Bases
Period1998/02/02 → …

Ämnesklassifikation (UKÄ)

  • Matematik

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