Results 81 to 90 of about 1,179,667 (236)

Twisted conjugacy in soluble arithmetic groups

Mathematische Nachrichten, Volume 298, Issue 3, Page 763-793, March 2025.
Abstract Reidemeister numbers of group automorphisms encode the number of twisted conjugacy classes of groups and might yield information about self‐maps of spaces related to the given objects. Here, we address a question posed by Gonçalves and Wong in the mid‐2000s: we construct an infinite series of compact connected solvmanifolds (that are not ...
Paula M. Lins de Araujo, Yuri Santos Rego   +1 more
wiley   +1 more source

Cyclic Codes over a Non-Commutative Non-Unital Ring

Mathematics
In this paper, we investigate cyclic codes over the ring E of order 4 and characteristic 2 defined by generators and relations as E=⟨a,b∣2a=2b=0,a2=a,b2=b,ab=a,ba=b⟩. This is the first time that cyclic codes over the ring E are studied.
Adel Alahmadi, Malak Altaiary, Patrick Solé   +2 more
doaj   +1 more source

Rigidity of quantum algebras

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
wiley   +1 more source

A Hitchhiker's Guide to Endomorphisms and Automorphisms of Cuntz Algebras [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2021
We present a broad selection of results on endomorphisms and automorphisms of the Cuntz algebras On that have been obtained in the last decades. A wide variety of open problems is also included.
Valeriano Aiello, Roberto Conti, Stefano Rossi   +2 more
doaj  

Noncommutative localization and chain complexes I. Algebraic K- and L-theory [PDF]

, 2001
The noncommutative (Cohn) localization S^{-1}R of a ring R is defined for any collection S of morphisms of f.g. projective left R-modules. We exhibit S^{-1}R as the endomorphism ring of R in an appropriate triangulated category. We use this expression to
Neeman, Amnon, Ranicki, Andrew
core   +2 more sources

On the Complexity of Noncommutative Polynomial Factorization

, 2015
In this paper we study the complexity of factorization of polynomials in the free noncommutative ring $\mathbb{F}\langle x_1,x_2,\dots,x_n\rangle$ of polynomials over the field $\mathbb{F}$ and noncommuting variables $x_1,x_2,\ldots,x_n$.
Arvind, V., Joglekar, Pushkar S, Rattan, Gaurav   +2 more
core   +1 more source

Fully noncentral Lie ideals and invariant additive subgroups in rings

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We prove conditions ensuring that a Lie ideal or an invariant additive subgroup in a ring contains all additive commutators. A crucial assumption is that the subgroup is fully noncentral, that is, its image in every quotient is noncentral. For a unital algebra over a field of characteristic ≠2$\ne 2$ where every additive commutator is a sum of
Eusebio Gardella, Tsiu‐Kwen Lee, Hannes Thiel   +2 more
wiley   +1 more source

The Cohen Macaulay Property for Noncommutative Rings [PDF]

Algebras and Representation Theory, 2017
Let R be a noetherian ring which is a fifinite module over its centre\ud Z(R). This paper studies the consequences for R of the hypothesis that it is a\ud maximal Cohen Macaulay Z(R)-module. A number of new results are proved,\ud for example projectivity over regular commutative subrings and the direct sum\ud decomposition into equicodimensional rings ...
Brown, Ken A., Macleod, Marjory J.
openaire   +3 more sources

ON THE PRIME RADICAL OF A MODULE OVER A NONCOMMUTATIVE RING

, 2004
Let $R$ be a ring and $M$ a left $R-$module. The radical of $M$ is the intersection of all prime submodules of $M.$ It is proved that if $R$ is a hereditary, noetherian, prime and non right artinian and $M$ a finitely generated $R-$module then the ...
F. Çallıalp, Ünsal Teki̇r
semanticscholar   +1 more source

Linear independence of coherent systems associated to discrete subgroups

Bulletin of the London Mathematical Society, Volume 57, Issue 2, Page 315-329, February 2025.
Abstract This note considers the finite linear independence of coherent systems associated to discrete subgroups. We show by simple arguments that such coherent systems of amenable groups are linearly independent whenever the associated twisted group ring does not contain any nontrivial zero divisors.
Ulrik Enstad, Jordy Timo van Velthoven
wiley   +1 more source