[PDF][PDF] SKEVV GROUP RINGS WITH KRULL, DIMENSION

JK Park - Math. J. Okayama Univ, 1983 - math.okayama-u.ac.jp
… the condition for the group G whose skew group ring to have Krull dimension. When the …
the skew group ring RG may not have Krull dimension even if either R has Krull dimension and …

Krull dimension of skew-Laurent extensions

K Goodearl, T Lenagan - Pacific Journal of Mathematics, 1984 - msp.org
… the Krull dimensions of induced modules over a skew-… Krull dimension of A ®R T in terms of
the Krull dimensions of … subf actors of A with lower Krull dimension than AΛί A happens to be …

[PDF][PDF] The coefficient ring of the skew group ring

J Osterburg - Czechoslovak Mathematical Journal, 1979 - dml.cz
… has Krull dimension as a left R module^ it has Krull dimension as a left R* G module* (if) Clearly
as a left R^ G module R has Krull dimension… that the fixed ring has Krull dimension by [5, …

Partial skew group rings over polycyclic by finite groups

PAAB Carvalho, W Cortes, M Ferrero - Algebras and Representation …, 2011 - Springer
skew group rings of polycyclic by finite groups over a right noetherian ring is reduced to the
description of prime ideals of a usual skew group … for the classical Krull dimension of R ⋆α G. …

[引用][C] Iterated skew polynomial rings of Krull dimension two

DA Jordan - Archiv der Mathematik, 1993 - Springer
… U (sl (2, (12)), all finite-dimensional modules are semisimple. In [2, Theorem 3.7] we …
skew polynomiai rings R but were unable to avoid including this condition on the finite-dimensional

Krull dimension of generalized Weyl algebras and iterated skew polynomial rings: commutative coefficients

V Bavula, F Van Oystaeyen - Journal of Algebra, 1998 - Elsevier
… In the paper we develop techniques for calculating dimensions, here mainly the Krull
dimension in the sense of RentschlerGabriel, of such generalized Weyl algebras and specify the …

[PDF][PDF] State spaces, finite algebras, and skew group rings

R Alfaro - Journal of Algebra, 1991 - academia.edu
… Stafford [St] shows that for commutative rings and for noetherian rings of finite Krull dimension,
the extreme points are given by the “generalized rank functions.” Let P be a prime ideal of …

[PDF][PDF] A rank two indecomposable projective module over a Noetherian domain of Krull dimension one

TJ Hodges, J Osterburg - Bulletin of the London Mathematical …, 1987 - academia.edu
… In this note we show that the Krull dimension of R is not a … of a Noetherian domain U with
Krull dimension one such that U … a group Gof automorphisms of R such that the skew group ring …

[PDF][PDF] Partial skew group rings and applications to modules

J Ávila, J Lazzarin - JP J. Algebra Number Theory Appl, 2014 - researchgate.net
… α R Particularly, we prove that the Krull dimension of R V exists iff the Krull dimension of … In
this section, we present some results related to the partial actions and partial skew group rings…

Questions on skew fields

AH Schofield - Methods in ring theory, 1984 - Springer
… In particular, if Dl is the first Weyl skew field, and E is a skew subfield, does [Dl:EJl Another
possible use for the Krull dimension of DO~kD is in the study of embeddings of skew fields. …