Preradicals and characteristic submodules: connections and operations

• Datum: 2010
• 1. Verfasser: Kashu, A.I.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2010
• Schriftenreihe: Algebra and Discrete Mathematics
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/154603
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Preradicals and characteristic submodules: connections and operations / A.I. Kashu // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 59–75. — Бібліогр.: 8 назв. — англ.

For an arbitrary module M∈R-Mod the relation between the lattice Lch(RM) of characteristic (fully invariant) submodules of M and big lattice R-pr of preradicals of R-Mod is studied. Some isomorphic images of Lch(RM) in R-pr are constructed. Using the product and coproduct in R-pr four operations...