Add to ORKGAfter a brief introduction of the basic properties of group rings, some famous theorems on traces of idempotent elements of group rings will be presented. Next we consider some famous conjectures stated by Irving Kaplansky, among them the zero-divisor conjecture. The conjecture asserts that if a group ring is constructed from a field (or an integral domain) and a torsion-free group, then it does not contain any non-trivial zero-divisors. Here we show how a confirmation of the conjecture for certain fields implies its validity for other fields
AbstractWe consider a condition on a group G, that was studied by Strebel and independently by Stroj...
The aim of this thesis is to investigate the circumstances under which group rings over fields have ...
Let N and H be groups, and let G be an extension of H by N. In this article, we describe the structu...
The three famous problems concerning units, zero-divisors and idempotents in group rings of torsion-...
The three famous problems concerning units, zero-divisors and idempotents in group rings of torsion-...
Kaplansky's zero divisor conjecture envisions that for a torsion-free groupG and an integral domainR...
Let $G$ be a group and $X(G)$ its Sidki Double. The idempotent conjecture says that there should be ...
The Zero Divisor Problem is the following:- lf G is a torsion-free group and R is a commutative doma...
AbstractS. V. Ivanov recently discovered a surprising connection between asphericity of certain spac...
TEZ8447Tez (Yüksek Lisans) -- Çukurova Üniversitesi, Adana, 2011.Kaynakça (s. 87-88) var.v, 89 s. : ...
Let \Gamma be a group, and let C \Gamma be the group ring of \Gamma over C . We first give a simplif...
AbstractThis paper contains two results which bear upon the zero-divisor conjecture for group rings....
Let R be a commutative ring and let G be an abelian group. Basic ways to control zero-divisors in a...
AbstractThe authors use K-theoretic methods to prove that if F is a field of char 0 and G is a torsi...
Let R be a commutative ring and let G be an abelian group. Basic ways to control zero-divisors in a...
AbstractWe consider a condition on a group G, that was studied by Strebel and independently by Stroj...
The aim of this thesis is to investigate the circumstances under which group rings over fields have ...
Let N and H be groups, and let G be an extension of H by N. In this article, we describe the structu...
The three famous problems concerning units, zero-divisors and idempotents in group rings of torsion-...
The three famous problems concerning units, zero-divisors and idempotents in group rings of torsion-...
Kaplansky's zero divisor conjecture envisions that for a torsion-free groupG and an integral domainR...
Let $G$ be a group and $X(G)$ its Sidki Double. The idempotent conjecture says that there should be ...
The Zero Divisor Problem is the following:- lf G is a torsion-free group and R is a commutative doma...
AbstractS. V. Ivanov recently discovered a surprising connection between asphericity of certain spac...
TEZ8447Tez (Yüksek Lisans) -- Çukurova Üniversitesi, Adana, 2011.Kaynakça (s. 87-88) var.v, 89 s. : ...
Let \Gamma be a group, and let C \Gamma be the group ring of \Gamma over C . We first give a simplif...
AbstractThis paper contains two results which bear upon the zero-divisor conjecture for group rings....
Let R be a commutative ring and let G be an abelian group. Basic ways to control zero-divisors in a...
AbstractThe authors use K-theoretic methods to prove that if F is a field of char 0 and G is a torsi...
Let R be a commutative ring and let G be an abelian group. Basic ways to control zero-divisors in a...
AbstractWe consider a condition on a group G, that was studied by Strebel and independently by Stroj...
The aim of this thesis is to investigate the circumstances under which group rings over fields have ...
Let N and H be groups, and let G be an extension of H by N. In this article, we describe the structu...