Canonical subalgebra bases in non-commutative polynomial rings

Nordbeck, Patrik (1998). Canonical subalgebra bases in non-commutative polynomial rings. Gloor, Oliver (Ed.). , 140 - 146. Proceedings of ISSAC '98. International Symposium on Symbolic and Algebraic Computation. Rostock: ACM
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Conference Proceeding/Paper | Published | English
Authors:
Nordbeck, Patrik
Editors:
Gloor, Oliver
Department:
Mathematics (Faculty of Engineering)
Algebra
Research Group:
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
ISBN:
1-58113-002-3
LUP-ID:
f8d96817-f12d-4053-ae53-2b12b0172964 | Link: https://lup.lub.lu.se/record/f8d96817-f12d-4053-ae53-2b12b0172964 | Statistics

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