Results 11 to 20 of about 1,482 (184)
Crossed products by twisted partial actions and graded algebras [PDF]
, 2008 For a twisted partial action Θ of a group G on an (associative non-necessarily unital) algebra A over a commutative unital ring k, the crossed product A ⋊ Θ G is proved to be associative.
M. Dokuchaev, R. Exel, J. Simón
semanticscholar +3 more sources
Bimodules in Group Graded Rings
Algebras and Representation Theory, 2017 In this article we introduce the notion of a controlled group graded ring. Let $G$ be a group, with identity element $e$, and let $R=\oplus_{g\in G} R_g$ be a unital $G$-graded ring.
Johan Öinert
semanticscholar +4 more sources
Simple Rings and Degree Maps [PDF]
, 2013 For an extension A/B of neither necessarily associative nor necessarily unital rings, we investigate the connection between simplicity of A with a property that we call A-simplicity of B.
Nystedt, Patrik, Öinert, Johan
core +1 more source
Outer partial actions and partial skew group rings [PDF]
, 2014 We extend the classicial notion of an outer action $\alpha$ of a group $G$ on a unital ring $A$ to the case when $\alpha$ is a partial action on ideals, all of which have local units.
Nystedt, Patrik, Öinert, Johan
core +1 more source
The Ideal Intersection Property for Groupoid Graded Rings [PDF]
, 2010 We show that if a groupoid graded ring has a certain nonzero ideal property, then the commutant of the center of the principal component of the ring has the ideal intersection property, that is it intersects nontrivially every nonzero ideal of the ring ...
Caenepeel S. +25 more
core +1 more source
Recent developments around partial actions
, 2018 We give an overview of publications on partial actions and related concepts, paying main attention to some recent developments.Comment: New bibliography added and ...
Dokuchaev, Mikhailo
core +1 more source
Partial crossed products as equivalence relation algebras [PDF]
, 2013 For a free partial action of a group in a set we realize the associated partial skew group ring as an algebra of functions with finite support over an equivalence relation and we use this result to characterize the ideals in the partial skew group ring ...
Viviane Beuter, D. Gonccalves
semanticscholar +1 more source
On the structure of crossed products of groups and simple rings
Publicationes mathematicae (Debrecen), 1996 Let K ∗G be a crossed product of the group G over the ring K with a factor set ρ : G × G → U(K) and a map σ : G → Aut K, and let Gker = {g ∈ G | gσ is inner} be the kernel of σ.
S. Mihovski
semanticscholar +1 more source
On the K-theoretic classification of topological phases of matter [PDF]
, 2014 We present a rigorous and fully consistent $K$-theoretic framework for studying gapped topological phases of free fermions such as topological insulators. It utilises and profits from powerful techniques in operator $K$-theory.
Thiang, Guo Chuan
core +2 more sources
Advanced Functional Materials, EarlyView.This study presents a dynamic interaction between liquid resins and photopolymerized structures enabled by an in situ light‐writing setup. By controlling a three‐phase interface through localized photopolymerization, which provides physical confinement for the remaining uncured resin regions, the approach establishes a programmable pathway that ...
Kibeom Kim +3 more
wiley +1 more source