Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 9 of 9 for “"group rings"”.
-
Idempotents in group rings
The von Neumann finiteness problem for k[G] is still open. Kaplansky proved it in characteristic zero. He used the nonvanishing of the trace: tr(e) = 0 implies e = 0 for any idempotent e ∊ k[G]. Assume now that char k = p > 0. Now tr can vanish on nonzero idempotents. Instead, we study the lifted …
-
Characterizing Zero Divisors of Group Rings
… certain topological invariants attached to a group 𝐺. There are examples showing that the conjecture does not hold in general. These examples involve something like the lamplighter group (the wreath product ℤ/2ℤ ≀ ℤ). We are interested in looking at examples where this is not the case. We are …
-
Multiplication in Grothendieck Rings of Integral Group Rings
Made available in DSpace on 2014-12-09T22:17:33Z (GMT). No. of bitstreams: 1 6612431.pdf: 2028922 bytes, checksum: 195226a98ae570af26c664bab83e5930 (MD5) Previous issue date: 1966
-
Torsion Units of Integral Group Rings and Scheme Rings
… Z with nice bases. These include integral group rings, integral adjacency algebras of association schemes and integral C-algebras. Torsion units of group rings have been studied extensively since the 1960’s. Much of the attention has been devoted to the Zassenhaus conjecture for normalized …
-
Computational problems in algebra: units in group rings and subalgebras of real simple Lie algebras
… algorithm for obtaining generators of the unit group of the integral group ring ZG of finite abelian group G. We use our implementation in MAGMA of this algorithm to compute the unit group of ZG for G of order up to 110. In the second part of the thesis I show how to construct multiplication …
-
* - Limpeza em anéis de grupo comutativos
… são ∗-limpos, baseados no artigo Some ∗-clean group rings. Posteriormente, seguindoo artigo On ∗-clean group rings, estendemos nossa investigação para anéis de grupo FG, onde G é um grupo cíclico de ordem prima e F um corpo. A partir desses resultados, apresentamos uma caracterização completa …
-
Actions of finite dimensional non-commutative, non-cocommutative Hopf algebras on rings
… if $A$ is a polynomial ring and $G$ is a finite group acting as automorphisms on $A$, then the ring of invariants $A^G=\{a\in A : g\cdot a = a, \forall g\in G\}$ is again a polynomial ring exactly when $G$ is generated by reflections. The major goal of this thesis is the computation of several …
-
Ideals and Maximal Commutative Subrings of Graded Rings
… 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 …