Search for dissertations about: "polynomial rings"
Showing result 1 - 5 of 16 swedish dissertations containing the words polynomial rings.
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1. The Theory of Polynomial Functors
Abstract : Polynomial functors were introduced by Professors Eilenberg and Mac Lane in 1954, who used them to study certain homology rings. Strict polynomial functors were invented by Professors Friedlander and Suslin in 1997, in order to develop the theory of group schemes. READ MORE
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2. A graded subring of an inverse limit of polynomial rings
Abstract : We study the power series ring R= K[[x1,x2,x3,...]]on countably infinitely many variables, over a field K, and two particular K-subalgebras of it: the ring S, which is isomorphic to an inverse limit of the polynomial rings in finitely many variables over K, and the ring R', which is the largest graded subalgebra of R. READ MORE
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3. Properties of powers of monomial ideals
Abstract : .... READ MORE
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4. The Diamond Lemma for Power Series Algebras
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
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5. Period integrals and other direct images of D-modules
Abstract : This thesis consists of three papers, each touching on a different aspect of the theory of rings of differential operators and D-modules. In particular, an aim is to provide and make explicit good examples of D-module directimages, which are all but absent in the existing literature. READ MORE