Results 281 to 290 of about 2,932,262 (319)
Some of the next articles are maybe not open access.
Canadian Mathematical Bulletin, 1972
The purpose of this note is to generalize a result of Gulliksen, Ribenboim and Viswanathan which characterized local group rings when both the ring and the group are commutative.We assume throughout that all rings are associative with identity. If R is a ring we call R local if R/J(R) is a division ring where J(R) denotes the Jacobson radical of R.
openaire +1 more source
The purpose of this note is to generalize a result of Gulliksen, Ribenboim and Viswanathan which characterized local group rings when both the ring and the group are commutative.We assume throughout that all rings are associative with identity. If R is a ring we call R local if R/J(R) is a division ring where J(R) denotes the Jacobson radical of R.
openaire +1 more source
LOCALLY INVARIANT ORDERS ON GROUPS
International Journal of Algebra and Computation, 2006Recent work by T. Delzant and S. Hair shows that certain groups are unique product groups. In effect, they show that the groups have a locally invariant order, an idea introduced by D. Promislow in the early eighties. Having a locally invariant order implies the group is a unique product group, and a strict left (or right) ordering on a group is a ...
openaire +1 more source
Interconnection Locality and Group Locality
EUROCON 2005 - The International Conference on "Computer as a Tool", 2005The interconnection locality is the behavior of a network around the origin and it is firstly understood as neighborhood. The group locality, which we try to define in this paper, is another point of view on the networks locality, opposite, in some way, to the globality.
C. Lupu, T. Niculiu
openaire +1 more source
Infinite locally dihedral groups as automorphism groups
Ricerche di Matematica, 2014It is well-known that there exist groups which cannot be realized as full automorphism group of any group, obvious examples being the (non-trivial) cyclic groups of odd order and (non-trivial) free groups. It was proved by \textit{D. J. S. Robinson} [Q. J. Math., Oxf. II. Ser.
CELENTANI, MARIA ROSARIA +2 more
openaire +2 more sources
On a Group Acting Locally Freely on an Abelian Group
Siberian Mathematical Journal, 2003A group \(G\) acts freely on a nontrivial Abelian group \(V\) if \(vg\neq v\) for all \(g\in G\), \(g\neq1\), and all \(v\in V\), \(v\neq 1\). The author uses the coset enumeration algorithm and calculations in the discrete computational algebra system GAP [\textit{M. Schönert} et al.
openaire +2 more sources
A New Group Algebra for Locally Compact Groups
American Journal of Mathematics, 1964When an abstract group is represented by linear transformations on a vector space, the group of transformations generates an algebra. In the case of finite dimensional representations of a finite group, the algebra consists of linear combinations of elements in the range of the representation.
openaire +1 more source
Locally Bicompact Abelian Groups and Their Character Groups
The Annals of Mathematics, 1935The theory of character groups of Abelian groups, long at a standstill near the beginning, has been taken up recently by L. Pontrjagin.1 He showed how the well known simple isomorphism of a finite Abelian group and its character group is a very special case of a dual one-to-one correspondence between compact separable Abelian groups and discrete ...
openaire +1 more source
Local hyperthermia therapy induces browning of white fat and treats obesity
Cell, 2022Yu Li, Li Jin, Meiyao Meng
exaly