Search for dissertations about: "free resolutions of modules"

Found 3 swedish dissertations containing the words free resolutions of modules.

2. 1. Residue Currents and their Annihilator Ideals

   Author : Elizabeth Wulcan; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; residue currents; Bochner-Martinelli formula; ideals of holomorphic functions; monomial ideals; coherents sheaves; free resolutions of modules; cellular resolutions; coherents sheaves;

   Abstract : This thesis presents results in multidimensional residue theory. From a generically exact complex of locally free analytic sheaves $\mathcal C$ we construct a vector valued residue current $R^\mathcal C$, which in a sense measures the exactness of $\mathcal C$. READ MORE

4. 2. Cofinality Properties of Categories of Chain Complexes

   Author : Fredrik Nordström; Wojciech Chachólski; Kathryn Hess; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

   Abstract : This thesis treats a family of categories, the chain categories of an A-module M, and functors indexed by them. Among the chain categories are two classical constructions; the category of finitely generated projective Amodules, and the category of finitely generated free A-modules, here denoted by P0(0) and Sing(0) respectively. READ MORE

5. 3. Formal Languages and Automata in Computational Algebra

   Author : Jonas Månsson; Algebra; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; control; Datalogi; Talteori; algebraisk geometri; algebra; gruppteori; Computer science; numerical analysis; systems; group theory; field theory; algebraic geometry; finite automata; Number Theory; Gröbner bases; SAGBI bases; numerisk analys; system; kontroll; fältteori;

   Abstract : This thesis is a collection of six papers in computational algebra. In particular, we study noncommutative Gröb- ner bases, SAGBI bases and similar algebraic objects which can be represented as a graph or an automaton. READ MORE