Search for dissertations about: "polynomial rings"

Showing result 1 - 5 of 16 swedish dissertations containing the words polynomial rings.

  1. 1. The Theory of Polynomial Functors

    Author : Qimh Xantcha; Torsten Ekedahl; Vincent Franjou; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; numerical ring; polynomial map; strict polynomial map; numerical map; polynomial functor; strict polynomial functor; numerical functor; maze; multi-set; multation; Algebra and geometry; Algebra och geometri; Mathematics; matematik;

    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

  2. 2. A graded subring of an inverse limit of polynomial rings

    Author : Jan Snellman; Jörgen Backelin; Guillermo Moreno Socias; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; Gröbner bases; generic forms; inverse limit; Algebra and geometry; Algebra och geometri;

    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

  3. 3. Properties of powers of monomial ideals

    Author : Oleksandra Gasanova; Veronica Crispin Quiñonez; Volodymyr Mazorchuk; Alexander Engström; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; powers of monomial ideals; polynomial rings; Mathematics; Matematik;

    Abstract : .... READ MORE

  4. 4. The Diamond Lemma for Power Series Algebras

    Author : Lars Hellström; Umeå universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; 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

  5. 5. Period integrals and other direct images of D-modules

    Author : Ketil Tveiten; Rikard Bøgvad; Uli Walther; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; D-modules; Rings of differential operators; Period integrals; Mathematics; matematik;

    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