Results 91 to 100 of about 12,863,172 (309)
On Wiener's lemma for locally compact abelian groups [PDF]
Eike Schulte
openalex +1 more source
In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
doaj +1 more source
Corrigendum to "On the dimension of an Abelian group" [Notes on Number Theory and Discrete Mathematics, 2022, Volume 27, Number 4, Pages 267-275] [PDF]
Timo Tossavainen, Pentti Haukkanen
openalex +1 more source
Torsion classes of extended Dynkin quivers over commutative rings
Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
wiley +1 more source
Discrete sets definable in strong expansions of ordered Abelian groups [PDF]
Alfred Dolich, John Goodrick
openalex +1 more source
Radical preservation and the finitistic dimension
Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley +1 more source
ON THE SUBGROUP LATTICE OF AN ABELIAN FINITE GROUP
The aim of this paper is to give some connections between the structure of an abelian finite group and the structure of its subgroup lattice,
Marius Tarnauceanu
doaj
An Example of Length Computation for a Group Algebra of a Noncyclic Abelian Group in the Modular Case [PDF]
О. В. Маркова
openalex +1 more source
Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +1 more source
Abelian Livšic theorems for Anosov flows
Abstract We give two short proofs of the abelian Livšic theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livšic theorems for positive density sets of null‐homologous orbits and for amenable covers.
Richard Sharp
wiley +1 more source

