Stabilizers of direct composition series

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Stabilizers of direct composition series

Let R be a domain, V a left R-module, and L a composition series of direct summands of V . Our main results show that if U is a stabilizer group of L containing the McLaingroup associated with L, then U determines the chain (L,⊆) uniquely up to isomorphism or anti-isomorphism.

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ژورنال

عنوان ژورنال: Algebra universalis

سال: 2009

ISSN: 0002-5240,1420-8911

DOI: 10.1007/s00012-010-0057-4