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

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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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