Canonical subalgebra bases in non-commutative polynomial rings
Nordbeck, Patrik (1998). Canonical subalgebra bases in non-commutative polynomial rings. Gloor, Oliver (Ed.). Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation, 140 - 146. Proceedings of ISSAC '98. International Symposium on Symbolic and Algebraic Computation: Association for Computing Machinery (ACM)
Conference Proceeding/Paper
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Published
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English
Authors:
Nordbeck, Patrik
Department:
Mathematics (Faculty of Engineering)
Algebra
Abstract:
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.
Keywords:
polynomials ;
non-commutative polynomial rings ;
canonical bases ;
SAGBI bases ;
subalgebra reduction ;
Grobner bases ;
homogeneous subalgebras
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