Sökning: "Johan Öinert"

Hittade 5 avhandlingar innehållade orden Johan Öinert.

  1. 1. 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

  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. 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

  5. 4. Kähler-Poisson Algebras

    Författare :Ahmed Al-Shujary; Joakim Arnlind; Milagros Izquierdo; Johan Öinert; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The focus of this thesis is to introduce the concept of Kähler-Poisson algebras as analogues of algebras of smooth functions on Kähler manifolds. We first give here a review of the geometry of Kähler manifolds and Lie-Rinehart algebras. After that we give the definition and basic properties of Kähler-Poisson algebras. LÄS MER

  7. 5. Ramification numbers and periodic points in arithmetic dynamical systems

    Författare :Jonas Nordqvist; Karl-Olof Lindahl; Johan Öinert; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; ramification numbers; local fields; arithmetic dynamics; periodic points; Nottingham group; Mathematics; Matematik;

    Sammanfattning : The field of discrete dynamical systems is a rich and active field of research within mathematics, with applications ranging from biology to computer science, finance, engineering and various others. In this thesis properties of certain discrete dynamical systems are studied together with number theoretic properties of the functions defining these systems. LÄS MER