高贵领导
发表于 2025-3-27 00:13:20
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
Debark
发表于 2025-3-27 04:22:52
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
AORTA
发表于 2025-3-27 06:19:49
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,
潜移默化
发表于 2025-3-27 11:33:08
Synthesis Lectures on Data Managementrita 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
DUCE
发表于 2025-3-27 17:37:56
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Adornment
发表于 2025-3-27 21:05:34
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不在灌木丛中
发表于 2025-3-28 00:06:11
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.
贪婪的人
发表于 2025-3-28 05:40:36
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悲痛
发表于 2025-3-28 09:15:56
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路标
发表于 2025-3-28 13:41:36
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