1. CJM 2015 (vol 67 pp. 1144)
 Nystedt, Patrik; Öinert, Johan

Outer Partial Actions and Partial Skew Group Rings
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.
We show that if $\alpha$ is an outer partial
action of an abelian group $G$,
then its associated partial skew group
ring $A \star_\alpha G$ is simple if and only if
$A$ is $G$simple.
This result is applied to partial skew group rings associated with two different types of partial dynamical systems.
Keywords:outer action, partial action, minimality, topological dynamics, partial skew group ring, simplicity Categories:16W50, 37B05, 37B99, 54H15, 54H20 

2. CJM 2008 (vol 60 pp. 379)
 rgensen, Peter J\o

Finite CohenMacaulay Type and Smooth NonCommutative Schemes
A commutative local CohenMacaulay ring $R$ of finite CohenMacaulay type is known to be an isolated
singularity; that is, $\Spec(R) \setminus \{ \mathfrak {m} \}$ is smooth.
This paper proves a noncommutative analogue. Namely, if $A$ is a
(noncommutative) graded ArtinSchelter \CM\ algebra which is fully
bounded Noetherian and
has finite CohenMacaulay type, then the noncommutative projective scheme determined by
$A$ is smooth.
Keywords:ArtinSchelter CohenMacaulay algebra, ArtinSchelter Gorenstein algebra, Auslander's theorem on finite CohenMacaulay type, CohenMacaulay ring, fully bounded Noetherian algebra, isolated singularity, maximal CohenMacaulay module, noncommutative Categories:14A22, 16E65, 16W50 

3. CJM 1999 (vol 51 pp. 488)
 Burgess, W. D.; Saorín, Manuel

Homological Aspects of Semigroup Gradings on Rings and Algebras
This article studies algebras $R$ over a simple artinian ring $A$,
presented by a quiver and relations and graded by a semigroup $\Sigma$.
Suitable semigroups often arise from a presentation of $R$.
Throughout, the algebras need not be finite dimensional. The graded
$K_0$, along with the $\Sigma$graded Cartan endomorphisms and Cartan
matrices, is examined. It is used to study homological properties.
A test is found for finiteness of the global dimension of a
monomial algebra in terms of the invertibility of the Hilbert
$\Sigma$series in the associated path incidence ring.
The rationality of the $\Sigma$Euler characteristic, the Hilbert
$\Sigma$series and the Poincar\'eBetti $\Sigma$series is studied
when $\Sigma$ is torsionfree commutative and $A$ is a division ring.
These results are then applied to the classical series. Finally, we
find new finite dimensional algebras for which the strong no loops
conjecture holds.
Categories:16W50, 16E20, 16G20 
