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Titlebook: Algebra; Rings, Modules and C Carl Faith Book 1973 Springer-Verlag, Berlin · Heidelberg 1973 Autodesk Maya.Coproduct.Kategorie.Modul.algebr

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https://doi.org/10.1007/978-3-658-27149-7hism theorems), semigroup, category, functor are introduced in Chapter 1. Products, coproducts, and the free object functors in various categories constitute Chapter 2. Rings, modules, ideals, and the Baer-Eckmann-Schopf notions of injectivity, essential extension, and injective hull are introduced
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Big Data und die Frage nach der Anerkennungtain undefined or primitive objects, called sets, together with symbols and axioms governing their use. A graphic analogy can be made with geometry where there are given undefined objects called points, lines, and planes, together with a collection of axioms relating these objects to each other. An
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Jason Eisner,Nathaniel W. Filardo simplicity in categories (e.g. simple groups, simple modules, simple rings), representations of simple rings in complete rings of linear transformations (the prelude to the Chevalley-Jacobson density theorem proved in Chapter 19), matrix rings, dual modules, dual basis lemma for projective modules,
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Synthesis Lectures on Data Managementrita [58] characterizing similarity of two rings . and ., that is, when there is an equivalence mod-. ≈ mod-. of categories. Morita’s characterization 4.29 predicates the existence of a finitely generated projective module . which is a generator of the category mod-. such that . is isomorphic to End
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Datamining und Computational Financebecause many properties of a module are characterizable by properties of its endomorphism ring. Indeed, some modules over certain rings are determined by their endomorphism rings, which is a way of saying that the modules are isomorphic if and only if their endomorphism rings are isomorphic . rings.
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