Quasi-duo partial skew polynomial rings

W Cortes, M Ferrero, L Gobbi - Algebra and Discrete …, 2011 - dspace.nbuv.gov.ua
In this paper we consider rings R with a partial action α of Z on R. We give necessary and
sufficient conditions for partial skew polynomial rings and partial skew Laurent polynomial …

Projective socles

PN Stewart - Canadian Mathematical Bulletin, 1989 - cambridge.org
Nicholson and Watters have recently investigated rings with projective socles and they have
shown, among other things, that a ring R has a projective socle if and only if each matrix ring …

[PDF][PDF] Grothendieck groups of invariant rings and of group rings

KA Brown, M Lorenz - Journal of Algebra, 1994 - euclid.temple.edu
0. 1. Let G be a finite group acting as automorphisms of the ring S, and let R= S “be the fixed
ring under this action. It is well known that there is a Morita context linking the skew group …

[PDF][PDF] On commutativity of skew polynomials at zero

HL Jin, F Kaynarca, TK Kwak, Y Lee - Bulletin of the Korean …, 2017 - researchgate.net
We, in this paper, study the commutativity of skew polynomials at zero as a generalization of
an α-rigid ring, introducing the concept of strongly skew reversibility. A ring R is be said to be …

Group actions on quasi-Baer rings

HL Jin, J Doh, JK Park - Canadian Mathematical Bulletin, 2009 - cambridge.org
A ring R is called quasi-Baer if the right annihilator of every right ideal of R is generated by
an idempotent as a right ideal. We investigate the quasi-Baer property of skew group rings …

[引用][C] Some results on rings with finite group actions

JW Fisher, J Osterburg - Lecture Notes in Pure and Appl. Math, 1976

Annihilator properties of skew monoid rings

M Habibi, A Moussavi - Communications in Algebra, 2014 - Taylor & Francis
Let R be a ring with an endomorphism σ and F∪{0} the free monoid generated by U={u 1,…,
ut} with 0 added, and M a factor of F setting certain monomial in U to 0, enough so that, for …

On some properties of group rings

G Karpilovsky - Journal of the Australian Mathematical Society, 1980 - cambridge.org
Let Out (RG) be the set of all outer R-automorphisms of a group ring RG of arbitrary group G
over a commutative ring R with 1. It is proved that there is a bijective correspondence …

[引用][C] Products of idempotents in separative regular rings

KC O'Meara - Journal of Algebra and Its Applications, 2014 - World Scientific
Products of idempotents in separative regular rings Page 1 Journal of Algebra and Its
Applications Vol. 13, No. 8 (2014) 1450071 (14 pages) c© World Scientific Publishing Company …

Group-graded rings and duality

D Quinn - Transactions of the American Mathematical Society, 1985 - ams.org
We give an alternative construction of the duality between finite group actions and group
gradings on rings which was shown by Cohen and Montgomery in [1]. This duality is then …