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Finiteness conditions and sums of rings
journal contribution
posted on 2023-05-16, 12:04 authored by Kelarev, AVLet 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.
History
Publication title
Publicationes MathematicaeVolume
57Issue
1-2Pagination
115-119ISSN
0033-3883Department/School
School of Natural SciencesPublisher
Institute of Mathematics, University DebrecenPlace of publication
HungaryRepository Status
- Restricted