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On Covers and Envelopes in Some Functor Categories
, 2013We study the existence of covers and envelopes by some special functors on the category of finitely presented modules. As an application, we characterize some important rings using these functors.
L. Mao
semanticscholar +1 more source
2015
We define the concepts of category, functor, and morphism of functors (‘natural transformation’). The set-theoretic difficulty in treating cases like the category of all sets is handled using Grothendieck’s Axiom of Universes. Epimorphisms, monomorphisms, and similar concepts are investigated. The concept of “enriched categories” (for example, additive
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We define the concepts of category, functor, and morphism of functors (‘natural transformation’). The set-theoretic difficulty in treating cases like the category of all sets is handled using Grothendieck’s Axiom of Universes. Epimorphisms, monomorphisms, and similar concepts are investigated. The concept of “enriched categories” (for example, additive
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Functor - Category Semantics of Programming Languages and Logics
Category Theory and Computer Science, 1985R. D. Tennent
semanticscholar +1 more source
An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne T Penberthy+2 more
exaly
An attention‐based category‐aware GRU model for the next POI recommendation
International Journal of Intelligent Systems, 2021Aixiang Pei, Yihong Yang, Yuwen Liu
exaly
Bidirectional GRU networks‐based next POI category prediction for healthcare
International Journal of Intelligent Systems, 2022Jun Shen+2 more
exaly
Triangulated Categories and Functors
2019We start with the abstract theory of triangulated categories and triangulated functors. Because the octahedral axiom plays no role in our book, we give it minimal attention. Then we introduce the homotopy category K(A,M), which has the same objects as C(A,M), and its morphisms are the degree 0 cohomology classes of the morphisms of C(A,M).
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A Typology of Functors and Categories
1988Recent work on visual cognition by Hoffman (e.g. 1983) challenges the traditional notion that the basic units in visual analysis, the cognitive primitives, are geometric figures.2 He argues, rather, that the cognitive primitives for vision are properties of boundaries.
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On closed categories of functors
1970Brian Day Received November 7, 19~9 The purpose of the present paper is to develop in further detail the remarks, concerning the relationship of Kan functor extensions to closed structures on functor categories, made in "Enriched functor categories" | 1] §9.
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