The Krull-Gabriel dimension of the representation theory of a tame hereditary Artin algebra and applications to the structure of exact sequences

W Geigle - manuscripta mathematica, 1985 - Springer
… In this paper we show that the Krull dimension of A-mod for an Artin Algebra A of tame …
to the category of all finite dimensional right vector spaces over the skew field End(AQ) …

Down-up algebras defined over a polynomial base ring $\K [t_ {1},\cdots, t_ {n}] $

X Tang - arXiv preprint arXiv:1403.6539, 2014 - arxiv.org
… Besides, we will obtain some results on the Krull dimension, isomorphisms and … Following
the idea in [22], we can embed the algebra A(α,β,φ) into a skew group ring. We will spell out …

[HTML][HTML] Skew group algebras of piecewise hereditary algebras are piecewise hereditary

J Dionne, M Lanzilotta, D Smith - Journal of Pure and Applied Algebra, 2009 - Elsevier
… study the skew group algebra A [ G ] (see Section 1.1), in case A is a piecewise hereditary
algebra. Our main result (Theorem 2) shows that under standard assumptions, the skew group

Skew group algebras of deformed preprojective algebras

B Hou, S Yang - Journal of Algebra, 2011 - Elsevier
Skew group algebras appear in connection with the … of skew group algebras, the readers
refer to [17] (see also [4]). Let Λ be a k-algebra with a group G acting on Λ, then the skew group

On when a graded ring is graded equivalent to a crossed product

J Haefner - Proceedings of the American Mathematical Society, 1996 - ams.org
… 476] that if T is a commutative, Noetherian ring of Krull dimension d and P is a faithful, finitely
… We first show that any group G can appear as Comp(R) for some skew group ring R. We …

Cleanness of skew generalized power series rings

K Paykan - Bulletin of the Korean Mathematical Society, 2020 - koreascience.kr
… right Krull dimension, or is a ring with ACC on both right and left annihilators. The results
were motivated by [46, Theorem 2.5] of Zhou and Ziembowski. Finally, we prove that R[[S, ω]] is …

Nilpotent elements of skew Hurwitz series rings

K Paykan - Rendiconti del Circolo Matematico di Palermo Series 2, 2016 - Springer
… is either right Goldie, or has right Krull dimension, or is a ring with … skew Hurwitz series ring
\((HR,\alpha )\) is inherited from R. In particular we obtain some characterizations for the skew

Krull dimension of differential operator rings. III. Noncommutative coefficients

KR Goodearl, TH Lenagan - Transactions of the American Mathematical …, 1983 - ams.org
… This paper is concerned with the Krull dimension (in the sense of Gabriel and … Krull
dimension n and S is a derivation on S. The main theorem states that S[9; S] has Krull dimension n …

[PDF][PDF] Modules graded by G-sets: duality and finiteness conditions

D Bulacu, S Dascalescu, L Grunenfelder - Journal of Algebra, 1997 - academia.edu
… A the skew group ring RA Aut … Ž .ii If M has Krull dimension as an R-module, then M
also has Krull … For the Krull dimension part, we find similarly that M …

A note on skew group categories

Z Zhenqiang - Hokkaido Mathematical Journal, 2017 - projecteuclid.org
… Let G be a finite group, and C a G-abelian category. We prove that the skew group category
C(G) is an abelian category under the condition that the order |G| is invertible in C. When the …