In this article we consider rings R with a partial action α of an infinite cyclic group G on R. We
generalize the well-known results about Jacobson rings and strongly Jacobson rings in …

In this paper we consider partial actions of groups on rings, partial skew group rings and
partial fixed rings. We study a Morita context associated to these rings, $\alpha $-partial …

Addendum to “prine kernel functors in the skew group rings of finite groups” Page 1
COMMUNICATIONS IN ALGEBRA, 16(3), 503-513 (1988) ADDENDUM TO " PRIE KERNEL …

More on Crossed Product over the Support of Graded Rings1 Introduction Page 1
International Mathematical Forum, 5, 2010, no. 63, 3121 - 3126 More on Crossed Product …

We prove that if R is a semiprime ring and α is a partial action of an infinite cyclic group on R,
then R is right Goldie if and only if R [x; α] is right Goldie if and only if R⟨ x; α⟩ is right …

We investigate skew power series of $\alpha $-rigid pp-rings, where $\alpha $ is an
endomorphism of a ring R which is not assumed to be surjective. For an $\alpha $-rigid ring …

For a totally ordered cancellative semigroup $\Gamma $, a skew field $ K $, let $ K
[\Gamma;\phi] $ be a skew semigroup ring. If $ x\in\Gamma, k\in K $, then $ kx= x {k^ x} …

Introduction. In 151, M. Lorenz and DS Passmran set up a correspondence between the set
of prime ideals of R and that of the skew group ring. In this paper we extend the relationship …

We determine the commutant of homogeneous subrings in strongly groupoid graded rings in
terms of an action on the ring induced by the grading. Thereby we generalize a classical …

The aim of this note is to study the class group of a central Ω-Krull ring and to determine in
some cases whether a twisted (semi) group ring is a central Ω-Krull ring. In [8] we defined an …