Rings with finite decomposition of identity

A criterion for semiprime rings with finite decomposition of identity to be prime is given. We also give a short survey on some finiteness conditions related to the decomposition of identity. We consider the notion of a net of a ring and show that the lattice of all two-sided ideals of a right semid...

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Datum:2011
Hauptverfasser: Dokuchaev, M.A., Gubareni, N.M., Kirichenko, V.V.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2011
Schriftenreihe:Український математичний журнал
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/166010
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Rings with finite decomposition of identity / M.A. Dokuchaev, N.M. Gubareni, V.V. Kirichenko // Український математичний журнал. — 2011. — Т. 63, № 3. — С. 319–340. — Бібліогр.: 48 назв. — англ.

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