Sökning: "Graded ring"

Visar resultat 1 - 5 av 13 avhandlingar innehållade orden Graded ring.

1. 1. 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

3. 2. 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

4. 3. Complexes and Diffrerential Graded Modules

   Författare :Dmitri Apassov; Matematik (naturvetenskapliga fakulteten); []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; algebraic geometry; field theory; Number Theory; fiber of a local homomorphism; DG dualizing module; homological dimensions; differential graded rings; almost finite module; Cohen-Macaulay rings; local homomorphism; Gorenstein rings; annihilator; complex of modules; algebra; group theory; Talteori; fältteori; algebraisk geometri; gruppteori;

   Sammanfattning : The main topic of the thesis is the generalization of some traditional module-theoretic homological applications to complexes of modules and to differential graded modules over differential graded rings. We introduce three possible generalizations of the classical notion of annihilator of an R-module. LÄS MER

5. 4. Ideals and Maximal Commutative Subrings of Graded Rings

   Författare :Johan Öinert; Matematik LTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; ideals; simple rings; maximal commutativity; Crossed products; graded rings;

   Sammanfattning : This thesis is mainly concerned with the intersection between ideals and (maximal commutative) subrings of graded rings. The motivation for this investigation originates in the theory of C*-crossed product algebras associated to topological dynamical systems, where connections between intersection properties of ideals and maximal commutativity of certain subalgebras are well-known. LÄS MER

7. 5. Around minimal Hilbert series problems for graded algebras

   Författare :Lisa Nicklasson; Samuel Lundqvist; Christian Gottlieb; Uwe Nagel; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Graded algebras; Hilbert series; Lefschetz properties; Exterior algebra; Linear resolution; Mathematics; matematik;

   Sammanfattning : The Hilbert series of a graded algebra is an invariant that encodes the dimension of the algebra's graded compontents. It can be seen as a tool for measuring the size of a graded algebra. This gives rise to the idea of algebras with a "minimal Hilbert series", among the algebras within a certain family. LÄS MER