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Communications in Algebra Volume 31, 2003 - Issue 9
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Original Articles

Graded Semiartinian Rings: Graded Perfect Rings

C. Năstăsescu University of Bucharest, Faculty of Mathematics, Bucharest, Romania; Faculty of Mathematics, University of Bucharest, Str. Academiei 14, RO-70109, Bucharest 1, RomaniaCorrespondence[email protected]
,
L. Dăuş Department of Mathematics, Technical University of Civil Engineering, Bucharest, Romania; Department of Mathematics, Technical University of Civil Engineering, Bdul. Lacul Tei 124, RO-72302, Bucharest 2, RomaniaCorrespondence[email protected]
&
B. Torrecillas Departamento de Algebra y Análisis, Universidad de Almería, Almeria, Spain; Departamento de Algebra y Análisis, Universidad de Almería, 04071, Almeria, SpainCorrespondence[email protected]
Pages 4525-4531 | Received 01 Apr 2002, Published online: 01 Feb 2007
 
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Abstract

We study graded left semiartinian rings with finite support. It is shown that the semiartinian property is preserved when we pass to the smash product in the sense of Quinn. We apply these results to investigate left perfect graded rings.

Keywords:

Acknowledgments

The third author was partially supported by Ministerio de Ciencia y Tecnología of Spain Grant BFM2002-02717. The authors wish to thank the referee for useful remarks.

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