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) …
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 …
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 …
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 …
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 …
… 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 …
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 …
\((HR,\alpha )\) 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 …
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 …
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 …
C(G) is an abelian category under the condition that the order |G| is invertible in C. When the …