On the finiteness of Gröbner bases computation in quotients of the free algebra

Nordbeck, P. (2001). On the finiteness of Gröbner bases computation in quotients of the free algebra. Applicable Algebra in Engineering, Communication and Computing. Springer.
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| Published | English
Authors:
Nordbeck, Patrik
Department:
Mathematics (Faculty of Engineering)
Algebra
Research Group:
Algebra
Abstract:
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.
Keywords:
non-commutative algebras ; Grobner bases ; Dickson's lemma ; Noetherianity ; syzygies ; POLYNOMIAL-RINGS
ISSN:
1432-0622
LUP-ID:
8baf3599-93f1-4097-b903-2cba6608ea0e | Link: https://lup.lub.lu.se/record/8baf3599-93f1-4097-b903-2cba6608ea0e | Statistics

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