Results 1 to 10 of about 1,236 (31)

Simple Semigroup Graded Rings [PDF]

, 2014
We show that if $R$ is a, not necessarily unital, ring graded by a semigroup $G$ equipped with an idempotent $e$ such that $G$ is cancellative at $e$, the non-zero elements of $eGe$ form a hypercentral group and $R_e$ has a non-zero idempotent $f$, then $
Nystedt, Patrik, Öinert, Johan
core   +1 more source

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

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., Cohen M., Cohen M., Dade E. C., Fisher J. W., Formanek E., Johan Öinert, Lang S., Le Bruyn L., Lorenz M., Lorenz M., Lorenz M., Lundström P., Lundström P., Lundström P., Montgomery S., Nauwelaerts E., Nǎstǎsescu C., Passman D. S., Patrik Lundström, Öinert J., Öinert J., Öinert J., Öinert J., Öinert J., Öinert J.   +25 more
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

Globalization of twisted partial actions

, 2010
Let A be a unital ring which is a product of possibly infinitely many indecomposable rings. We establish criteria for the existence of a globalization for a given twisted partial action of a group on A.
Dokuchaev, M., Exel, R., Simón, J. J.
core   +2 more sources

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

Crossed products by twisted partial actions and graded algebras

, 2008
For a twisted partial action \Theta of a group G on an (associative non-necessarily unital) algebra A over a commutative unital ring k, the crossed product A X_\Theta G is proved to be associative.
Dokuchaev, M., Exel, R., Simon, J. J.
core   +1 more source

Bimodules in group graded rings

, 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.
Öinert, Johan
core   +1 more source

Simplicity of skew group rings of abelian groups

, 2012
Given a group G, a (unital) ring A and a group homomorphism $\sigma : G \to \Aut(A)$, one can construct the skew group ring $A \rtimes_{\sigma} G$. We show that a skew group ring $A \rtimes_{\sigma} G$, of an abelian group G, is simple if and only if its
Öinert, Johan
core   +1 more source

Simplicity of Partial Crossed Products [PDF]

, 2013
In this article, we consider a twisted partial action $\alpha$ of a group $G$ on a ring $R$ and it is associated partial crossed product $R*_{\alpha}^wG$.
Baraviera, Alexandre, Cortes, Wagner, Soares, Marlon   +2 more
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