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Canonical subalgebra bases in non-commutative polynomial rings

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Author

Editor

  • Oliver Gloor

Summary, in English

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.

Publishing year

1998

Language

English

Pages

140-146

Publication/Series

Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation

Document type

Conference paper

Publisher

Association for Computing Machinery (ACM)

Topic

  • Mathematics

Keywords

  • polynomials
  • non-commutative polynomial rings
  • canonical bases
  • SAGBI bases
  • subalgebra reduction
  • Grobner bases
  • homogeneous subalgebras

Conference name

Proceedings of ISSAC '98. International Symposium on Symbolic and Algebraic Computation

Conference date

1998-08-13 - 1998-08-15

Status

Published

Research group

  • Algebra

ISBN/ISSN/Other

  • ISBN: 1-58113-002-3