Sökning: "polynomial rings"

Visar resultat 1 - 5 av 16 avhandlingar innehållade orden polynomial rings.

1. 1. The Theory of Polynomial Functors

   Författare :Qimh Xantcha; Torsten Ekedahl; Vincent Franjou; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 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;

   Sammanfattning : 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. LÄS MER

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

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

   Sammanfattning : 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. LÄS MER

4. 3. Properties of powers of monomial ideals

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

   Sammanfattning : .... LÄS MER

5. 4. The Diamond Lemma for Power Series Algebras

   Författare :Lars Hellström; Umeå universitet; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

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

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

   Sammanfattning : 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. LÄS MER