Graded semiartinian rings: Graded perfect rings

C. Nǎstǎsescu; L. Dǎuş; B. Torrecillas

doi:10.1081/AGB-120022807

Graded semiartinian rings: Graded perfect rings

C. Nǎstǎsescu
, L. Dǎuş
, B. Torrecillas

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	4525-4531
Number of pages	7
Journal	Communications in Algebra
Volume	31
Issue number	9
DOIs	https://doi.org/10.1081/AGB-120022807
Publication status	Published - Sept 1 2003
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1081/AGB-120022807

Cite this

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title = "Graded semiartinian rings: Graded perfect rings",

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.",

author = "C. Nǎstǎsescu and L. Dǎu{\c s} and B. Torrecillas",

note = "Funding Information: The third author was partially supported by Ministerio de Ciencia y Tecnolog{\'i}a of Spain Grant BFM2002-02717. The authors wish to thank the referee for useful remarks.",

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T2 - Graded perfect rings

AU - Nǎstǎsescu, C.

AU - Dǎuş, L.

AU - Torrecillas, B.

N1 - Funding Information: 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.

PY - 2003/9/1

Y1 - 2003/9/1

N2 - 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.

AB - 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.

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UR - https://www.scopus.com/pages/publications/0041382216#tab=citedBy

U2 - 10.1081/AGB-120022807

DO - 10.1081/AGB-120022807

M3 - Article

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EP - 4531

JO - Communications in Algebra

JF - Communications in Algebra

IS - 9

ER -

Graded semiartinian rings: Graded perfect rings

Abstract

ASJC Scopus subject areas

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