On residual finiteness of direct products of algebraic systems

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Preliminaries. An operator group with a principal series can obviously be written as a direct product of finitely many directly indecomposable admissible subgroups, and the classical WedderburnRemak-Krull-Schmidt theorem asserts that this representation is unique up to isomorphism. Numerous generalizations of this theorem are known in the literature. Thus it follows from the results in Baer [l;...

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ژورنال

عنوان ژورنال: Monatshefte für Mathematik

سال: 2008

ISSN: 0026-9255,1436-5081

DOI: 10.1007/s00605-008-0036-4