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Titlebook: Algebras and Representation Theory; Karin Erdmann,Thorsten Holm Textbook 2018 Springer Nature Switzerland AG 2018 MSC (2010) 16-XX, 16G10,

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https://doi.org/10.1057/9781137343215elements in an algebra, or more generally, in a ring. We introduce many examples, and study the fundamental notions of submodules, factor modules and module homomorphisms. For group algebras, and for path algebras of quivers we make the correspondence between modules and representations explicit.
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Robert G. Boatright,Molly Brigid McGrathdean types. As for some background, we give a short account of root systems as they occur in Lie theory, and we show that the set of roots, as defined in the setting of representation theory, is a root system in this sense. We finish with an informal account of Morita equivalence.
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Modules and Representations,elements in an algebra, or more generally, in a ring. We introduce many examples, and study the fundamental notions of submodules, factor modules and module homomorphisms. For group algebras, and for path algebras of quivers we make the correspondence between modules and representations explicit.
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