منابع مشابه
Approximate 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...
متن کاملApproximate Maps Characterizing Injectivity and Surjectivity of Maps
In the theory of inverse systems, in order to study the properties of a space X or a map f : X → Y between spaces, one expands X to an inverse system X or expands f to a map f : X → Y between the inverse systems, and then work on X or f . In this paper, we define approximate injectivity (resp., surjectivity) for approximate maps, and show that a map f : X → Y between compact metric spaces is in...
متن کاملSome Comments on Injectivity and P-injectivity
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...
متن کاملOn Injectivity
Suppose we are given a pseudo-linearly convex triangle F . In [30], the main result was the construction of totally universal triangles. We show that S (π, ι̃) ∼ { 1 ‖Ī‖ : √ 2 −4 = ⋂ X ( R′ )}
متن کاملOn p-injectivity, YJ-injectivity and quasi-Frobeniusean rings
A new characteristic property of von Neumann regular rings is proposed in terms of annihilators of elements. An ELT fully idempotent ring is a regular ring whose simple left (or right) modules are either injective or projective. Artinian rings are characterized in terms of Noetherian rings. Strongly regular rings and rings whose two-sided ideals are generated by central idempotents are characte...
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ژورنال
عنوان ژورنال: Applied Categorical Structures
سال: 2017
ISSN: 0927-2852,1572-9095
DOI: 10.1007/s10485-017-9510-2