18 citations · 24 across the 10 of their papers we have counts for
15 papers
Affine cellular algebras and asymptotic algebras
Paula A. A. B. Carvalho, Steffen Koenig, Christian Lomp
The theory of affine cellular algebras is extended to incorporate their asymptotic algebras , clarifying unexpected differences between classical and affine situations…
Critical and injective modules over skew polynomial rings
Ken Brown, Paula A. A. B. Carvalho, Jerzy Matczuk
Let be a commutative local -algebra of Krull dimension one, where is a field. Let be a -algebra automorphism of , and define to be the skew polynomial alge…
On the Randić energy of caterpillar graphs
Domingos M. Cardoso, Paula Carvalho, Roberto C. Díaz +1
A caterpillar graph of order , , is a tree such that removing all its pendent vertices gives rise to a path of order . In t…
Stable range one for rings with central units
Paula A. A. B. Carvalho, Christian Lomp, Jerzy Matczuk
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 with stable range one and central units is commutativ…
A note on simple modules over quasi-local rings
Paula A. A. B. Carvalho, Christian Lomp, Patrick F. Smith
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 modul…
Simple modules and their essential extensions for skew polynomial rings
Ken Brown, Paula A. A. B. Carvalho, Jerzy Matczuk
Let be a commutative Noetherian ring and an automorphism of . This paper addresses the question: when does the skew polynomial ring satisfy the property $(…