TY - THES
A1 - Motsak, Oleksandr
T1 - Computation of the central elements and centralizers of sets of elements in non-commutative polynomial algebras
N2 - In this thesis we present the implementation of libraries center.lib and perron.lib for the non-commutative extension Plural of the Computer Algebra System Singular. The library center.lib was designed for the computation of elements of the centralizer of a set of elements and the center of a non-commutative polynomial algebra. It also provides solutions to related problems. The library perron.lib contains a procedure for the computation of relations between a set of pairwise commuting polynomials. The thesis comprises the theory behind the libraries, aspects of the implementation and some applications of the developed algorithms. Moreover, we provide extensive benchmarks for the computation of elements of the center. Some of our examples were never computed before.
KW - Algebraische AbhÃ¤ngigkeit der kommutierende Elementen
KW - Computeralgebra System
KW - Algebraic dependence of commuting elements
KW - Computer Algebra System
Y1 - 2006
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/2308
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-16934
ER -