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Finiteness conditions and sums of rings

Citation

Kelarev, AV, Finiteness conditions and sums of rings, Publicationes Mathematicae, 57, (1-2) pp. 115-119. ISSN 0033-3883 (2000) [Refereed Article]

Abstract

Let R be a ring, which is a sum of its additive subgroups Rs, s ∈ S. Suppose that all rings among the Rs satisfy one of the following classical finiteness properties: right or left Artinian or Noetherian, right or left perfect, semilocal or semiprimary. We provide new conditions on the interaction of the Rs sufficient for the whole ring R to enjoy the same property.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Algebra and Number Theory
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Kelarev, AV (Dr Andrei Kelarev)
ID Code:18653
Year Published:2000
Deposited By:Mathematics
Deposited On:2000-08-01
Last Modified:2001-05-03
Downloads:0

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