Rings graded by polycyclic-by-finite groups
W Chin, D Quinn - Proceedings of the American Mathematical Society, 1988 - ams.org
… groupgraded rings. Our work extends several results on skew group rings, crossed products
and group… We begin by considering the Krull dimension of the Ä{G}-modules ColGM and M. …
and group… We begin by considering the Krull dimension of the Ä{G}-modules ColGM and M. …
A note on the Krull dimension of certain algebras
BAF Wehrfritz - Mathematika, 1992 - cambridge.org
… Krull dimension k = K-dim (Qop0 Q) • of Qop® Q. In [7] Stafford shows that if R is the universal
enveloping algebra of the finite dimensional … D, so e extends to the skew group ring S(x) = …
enveloping algebra of the finite dimensional … D, so e extends to the skew group ring S(x) = …
Iterated Skew Polynomial Rings
DA Jordan - Abelian Groups and Noncommutative Rings: A …, 1992 - books.google.com
… results on Krull dimension and projective dimension in these … reviewed in Section 2 and the
Krull dimension of R will be studied … (sl (2, k)) have Krull dimension 2, provided the field k has …
Krull dimension of R will be studied … (sl (2, k)) have Krull dimension 2, provided the field k has …
On Krull dimension of Ore extensions
E Rtveliashvili - Georgian Mathematical Journal, 1996 - Springer
… Then 6 is the c~-differentiation of R, and thus we obtain the ring of skew polynomials R[x;
e; 6] which can be considered as the Weyl algebra over K. Its Krull dimension is equal to 1 [2]. …
e; 6] which can be considered as the Weyl algebra over K. Its Krull dimension is equal to 1 [2]. …
Global and Krull dimensions of quantum Weyl algebras
H Fujita, E Kirkman, J Kuzmanovich - Journal of Algebra, 1999 - Elsevier
… Here we compute the global and Krull dimensions in the cases that were left open; namely,
… an iterated skew polynomial extension. We will write elements of the skew polynomial ring R…
… an iterated skew polynomial extension. We will write elements of the skew polynomial ring R…
Dimension theory in iterated local skew power series rings
B Woods - Algebras and Representation Theory, 2023 - Springer
… We will calculate the right Krull dimension of S, but the calculation of the left Krull dimension
is identical. Let θ continue to denote the map Ir (R) → Ir (S) of Proposition 3.1. When n = 0, …
is identical. Let θ continue to denote the map Ir (R) → Ir (S) of Proposition 3.1. When n = 0, …
[引用][C] Maximal orders of global dimension and Krull dimension two
M Artin - Inventiones mathematicae, 1986 - Springer
… Let R be a complete normal ring of Krull dimension 2. Let A be a maximal R-order of finite
representation type in a … The point is that the skew group ring does have the 2-sided splitting …
representation type in a … The point is that the skew group ring does have the 2-sided splitting …
Noetherian skew inverse power series rings
ES Letzter, L Wang - Algebras and representation theory, 2010 - Springer
… skew power series rings R[[y;τ,δ]] recently studied in [10, 12]. In the present paper we study
the inverse skew power … , global dimension, and classical Krull dimension all equal to 2n. …
the inverse skew power … , global dimension, and classical Krull dimension all equal to 2n. …
On Ore and skew-Laurent extensions of Noetherian rings
T Hodges, JC McConnell - Journal of algebra, 1981 - Elsevier
… skew-Laurent extension of a ring K of finite Krull dimension in the sense of [3] or [5]. We
investigate the Krull dimension … Z(M) denote the Krull dimension of M. We relate the conditions .iv(…
investigate the Krull dimension … Z(M) denote the Krull dimension of M. We relate the conditions .iv(…
Krull dimension of Malcev-Neumann rings
C Sonin - Communications in Algebra, 1998 - Taylor & Francis
… skew-Laurent series division ring to prove that the skew … group rings over arbitrary rings
was initiated in [lo] by Lorenz while investigating properties of group algebras of nilpotent groups…
was initiated in [lo] by Lorenz while investigating properties of group algebras of nilpotent groups…