Canonical subalgebra bases in non-commutative polynomial rings

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Sammanfattning

Canonical bases, also called SAGBI bases, for subalgebras of
the non-commutative polynomial ring are investigated. The process of
subalgebra reduction is defined. Methods, including generalizations of
the standard Gröbner bases techniques, are developed for the test whether
bases are canonical, and for the completion procedure of constructing canonical
bases. The special case of homogeneous subalgebras is discussed.
Originalspråkengelska
Titel på värdpublikationProceedings of the 1998 International Symposium on Symbolic and Algebraic Computation
RedaktörerOliver Gloor
FörlagAssociation for Computing Machinery (ACM)
Sidor140-146
ISBN (tryckt)1-58113-002-3
DOI
StatusPublished - 1998
EvenemangProceedings of ISSAC '98. International Symposium on Symbolic and Algebraic Computation - Rostock
Varaktighet: 1998 aug. 131998 aug. 15

Konferens

KonferensProceedings of ISSAC '98. International Symposium on Symbolic and Algebraic Computation
Period1998/08/131998/08/15

Ämnesklassifikation (UKÄ)

  • Matematik

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