Results 21 to 30 of about 75,128 (199)

A Note on Additive Groups of Some Specific Torsion-Free Rings of Rank Three and Mixed Associative Rings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
doaj   +1 more source

Locally Quasi-Convex Compatible Topologies on a Topological Group

open access: yesAxioms, 2015
For a locally quasi-convex topological abelian group (G,τ), we study the poset \(\mathscr{C}(G,τ)\) of all locally quasi-convex topologies on (G) that are compatible with (τ) (i.e., have the same dual as (G,τ) ordered by inclusion.
Lydia Außenhofer   +2 more
doaj   +1 more source

On the K-theory of twisted higher-rank-graph C*-algebras [PDF]

open access: yes, 2012
We investigate the K-theory of twisted higher-rank-graph algebras by adapting parts of Elliott's computation of the K-theory of the rotation algebras.
Aidan Sims   +24 more
core   +3 more sources

Automatic Structures: Richness and Limitations [PDF]

open access: yesLogical Methods in Computer Science, 2007
We study the existence of automatic presentations for various algebraic structures. An automatic presentation of a structure is a description of the universe of the structure by a regular set of words, and the interpretation of the relations by ...
Bakhadyr Khoussainov   +3 more
doaj   +1 more source

A Chern-Simons theory for dipole symmetry

open access: yesSciPost Physics, 2023
We present effective field theories for dipole symmetric topological matters that can be described by the Chern-Simons theory. Unlike most studies using higher-rank gauge theory, we develop a framework with both $U(1)$ and dipole gauge fields.
Xiaoyang Huang
doaj   +1 more source

On decomposable pseudofree groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
An Abelian group is pseudofree of rank ℓ if it belongs to the extended genus of ℤℓ, i.e., its localization at every prime p is isomorphic to ℤpℓ.
Dirk Scevenels
doaj   +1 more source

When the intrinsic algebraic entropy is not really intrinsic

open access: yesTopological Algebra and its Applications, 2015
The intrinsic algebraic entropy ent(ɸ) of an endomorphism ɸ of an Abelian group G can be computed using fully inert subgroups of ɸ-invariant sections of G, instead of the whole family of ɸ-inert subgroups.
Goldsmith Brendan, Salce Luigi
doaj   +1 more source

Rings associated to coverings of finite p-groups [PDF]

open access: yes, 2016
In general the endomorphisms of a non-abelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group which are endomorphisms when restricted to the ...
Walls, Gary, Wang, Linhong
core   +1 more source

Association schemes in which the thin residue is an elementary abelian p-group of rank 2

open access: yesJournal of Algebra, 2016
In this article, we investigate the existence and schurity problem of association schemes whose thin residues are isomorphic to an elementary abelian $p$-group of rank $2$.
Hirasaka, Mitsugu, Kim, Kijung
openaire   +2 more sources

Separability in consistent truncations

open access: yesJournal of High Energy Physics, 2021
The separability of the Hamilton-Jacobi equation has a well-known connection to the existence of Killing vectors and rank-two Killing tensors. This paper combines this connection with the detailed knowledge of the compactification metrics of consistent ...
Krzysztof Pilch   +2 more
doaj   +1 more source

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