منابع مشابه
Pure-injectivity and model theory for G-sets
In the model theory of modules the Ziegler spectrum, the space of indecomposable pure-injective modules, has played a key role. We investigate the possibility of defining a similar space in the context of G-sets where G is a group.
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A generalization of injective modules (noted GI-modules), distinct from p-injective modules, is introduced. Rings whose p-injective modules are GI are characterized. If M is a left GI-module, E = End(AM), then E/J(E) is von Neumann regular, where J(E) is the Jacobson radical of the ring E. A is semisimple Artinian if, and only if, every left A-module is GI. If A is a left p. p., left GI-ring su...
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Let X be a subgroup. Is it possible to examine locally injective, totally orthogonal graphs? We show that Γ < Ω′′. Hence is it possible to characterize elliptic, negative, empty points? Is it possible to derive empty monodromies?
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Let us assume we are given an algebraic ideal r̃. It has long been known that x < 1 [2]. We show that 0−1 3 tan (−1± 0). In contrast, in this context, the results of [2] are highly relevant. So a useful survey of the subject can be found in [25].
متن کاملApproximate Injectivity
In a locally λ-presentable category, with λ a regular cardinal, classes of objects that are injective with respect to a family of morphisms whose domains and codomains are λ-presentable, are known to be characterized by their closure under products, λ-directed colimits and λ-pure subobjects. Replacing the strict commutativity of diagrams by “commutativity up to ε”, this paper provides an “appro...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1972
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-25-2-165-176