Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Carvalho, Paula A. A. B."'
This paper is a continuation of a project to determine which skew polynomial algebras $S = R[\theta; \alpha]$ satisfy property $(\diamond)$, namely that the injective hull of every simple $S$-module is locally artinian, where $k$ is a field, $R$ is a
Externí odkaz:
http://arxiv.org/abs/2403.09239
Let $R$ be a commutative local $k$-algebra of Krull dimension one, where $k$ is a field. Let $\alpha$ be a $k$-algebra automorphism of $R$, and define $S$ to be the skew polynomial algebra $R[\theta; \alpha]$. We offer, under some additional assumpti
Externí odkaz:
http://arxiv.org/abs/2206.10872
The purpose of this paper is to give a partial positive answer to a question raised by Khurana et al. as to whether a ring $R$ with stable range one and central units is commutative. We show that this is the case under any of the following additional
Externí odkaz:
http://arxiv.org/abs/1910.04410
Publikováno v:
International Electronic Journal of Algebra 24 (2018) 91-106
Matlis showed that the injective hull of a simple module over a commutative Noetherian ring is Artinian. Many non-commutative Noetherian rings whose injective hulls of simple modules are locally Artinian have been extensively studied recently. This p
Externí odkaz:
http://arxiv.org/abs/1711.10580
Let $R$ be a commutative Noetherian ring and $\alpha$ an automorphism of $R$. This paper addresses the question: when does the skew polynomial ring $S = R[\theta; \alpha]$ satisfy the property $(\diamond)$, that for every simple $S$-module $V$ the in
Externí odkaz:
http://arxiv.org/abs/1705.06596
Publikováno v:
Journal of Algebra 476 (2017) 494-518
As a generalisation of Graham and Lehrer's cellular algebras, affine cellular algebras have been introduced in [12] in order to treat affine versions of diagram algebras like affine Hecke algebras of type A and affine Temperley-Lieb algebras in a uni
Externí odkaz:
http://arxiv.org/abs/1609.01771
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Publikováno v:
Comm. Algebra 43 (2015), no. 10, 4221-4230
We study injective hulls of simple modules over differential operator rings $R[\theta; d]$, providing necessary conditions under which these modules are locally Artinian. As a consequence we characterize Ore extensions of $S=K[x][\theta;\sigma, d]$ f
Externí odkaz:
http://arxiv.org/abs/1211.2592
We study finiteness conditions on essential extensions of simple modules over the quantum plane, the quantized Weyl algebra and Noetherian down-up algebras. The results achieved improve the ones obtained in [arXiv:0906.2930] for down-up algebras.
Externí odkaz:
http://arxiv.org/abs/1001.1466
Motivated by the construction of new examples of Artin-Schelter regular algebras of global dimension four, J.J. Zhang and J. Zhang (2008) introduced an algebra extension $A_P[y_1,y_2;\sigma,\delta,\tau]$ of $A$, which they called a double Ore extensi
Externí odkaz:
http://arxiv.org/abs/0909.3238