Search for dissertations about: "factor algebras"

Found 3 swedish dissertations containing the words factor algebras.

2. 1. Canonical Bases for Algebraic Computations

   Author : Patrik Nordbeck; Algebra; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; gruppteori; algebra; algebraisk geometri; fältteori; Talteori; group theory; algebraic geometry; field theory; Matematik; Number Theory; regular languages; Mathematics; composition of polynomials; factor algebras; Gröbner bases; SAGBI bases;

   Abstract : This thesis deals with computational methods in algebra, mainly focusing on the concept of Gröbner and SAGBI bases in non-commutative algebras. The material has a natural division into two parts. The first part is a rather extensive treatment of the basic theory of Gröbner bases and SAGBI bases in the non-commutative polynomial ring. READ MORE

4. 2. Canoniical involutions and bosonic representations of three-dimensional lie colour algebras

   Author : Gunnar Sigurdsson; KTH; []
   Keywords : generalized lie algebra; grading group; commutation factor;

   Abstract : .... READ MORE

5. 3. The Diamond Lemma for Power Series Algebras

   Author : Lars Hellström; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; diamond lemma; power series algebra; Gröbner basis; embedding into skew fields; archimedean element in semigroup; q-deformed Heisenberg--Weyl algebra; polynomial degree; ring norm; Birkhoff orthogonality; filtered structure; Matematisk analys; Mathematical analysis; Analys; Mathematics; matematik;

   Abstract : The main result in this thesis is the generalisation of Bergman's diamond lemma for ring theory to power series rings. This generalisation makes it possible to treat problems in which there arise infinite descending chains. READ MORE