Sökning: "Partial algebra"

Visar resultat 1 - 5 av 27 avhandlingar innehållade orden Partial algebra.

1. 1. On Constructive Sets and Partial Structures

   Författare :Olov Wilander; Erik Palmgren; Viggo Stoltenberg-Hansen; Bas Spitters; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical Logic; Matematisk logik;

   Sammanfattning : The first three papers in this thesis study the formalisation of a set in type theory as a data type with an equivalence relation – an object usually known as a setoid. The corresponding formalisation of a locally small category is called an E-category. LÄS MER

3. 2. The structure of epsilon-strongly group graded rings

   Författare :Daniel Lännström; Johan Öinert; Stefan Wagner; Patrik Lundström; Gene Abrams; Blekinge Tekniska Högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; group graded ring; Leavitt path algebra; partial crossedproduct; Cuntz-Pimsner ring; von Neumann regular ring; non-unital ring; Mathematics and applications; Matematik med tillämpningar;

   Sammanfattning : The development of a general theory of strongly group graded rings was initiated by Dade, Năstăsescu and Van Oystaeyen in the 1980s, and since then numerous structural results have been established.  In this thesis we develop a general theory of so-called (nearly) epsilon-strongly group graded rings which were recently introduced by Nystedt, Öinert and Pinedo and which generalize strongly group graded rings. LÄS MER

4. 3. Around power ideals : From Fröberg's conjecture to zonotopal algebra

   Författare :Gleb Nenashev; Boris Shapiro; Volkmar Welker; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

   Sammanfattning : In this thesis we study power algebras, which are quotient of polynomial rings by power ideals. We will study Hilbert series of such ideals and their other properties. We consider two important special cases, namely, zonotopal ideals and generic ideals. Such ideals have a lot combinatorial properties. LÄS MER

5. 4. Finitary Partial Inductive Definitions and General Logic

   Författare :Lars-Henrik Eriksson; Kungl. Tekniska Högskolan; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Computing Science; Datalogi;

   Sammanfattning : .... LÄS MER

7. 5. The structure of epsilon-strongly graded rings with applications to Leavitt path algebras and Cuntz-Pimsner rings

   Författare :Daniel Lännström; Johan Öinert; Stefan Wagner; Patrik Nystedt; Eduard Ortega; Blekinge Tekniska Högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; group graded ring; epsilon-strongly graded ring; chain conditions; Leavitt path algebra; partial crossed product; Cuntz-Pimsner rings;

   Sammanfattning : The research field of graded ring theory is a rich area of mathematics with many connections to e.g. the field of operator algebras. In the last 15 years, algebraists and operator algebraists have defined algebraic analogues of important operator algebras. LÄS MER