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Injective Hulls of Various Graph Classes
Graphs and Combinatorics, 2022 A graph is Helly if its disks satisfy the Helly property, i.e., every family of pairwise intersecting disks in G has a common intersection. It is known that for every graph G, there exists a unique smallest Helly graph H(G) into which G isometrically embeds; H(G) is called the injective hull of G.
Heather Guarnera, Feodor F Dragan
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Non-self-injective injective hulls with compatible multiplication
Journal of Algebra, 2007 Let \(R\) be a ring and \(S\) the injective hull of the regular right module \(R\). The module \(S\) can often be made into a ring with multiplication compatible with that of \(R\). This happens, for instance, when \(R\) is right non-singular and then \(S\) is the maximal right ring of quotients of \(R\). Also, if \(S\) is a rational extension of \(R\),
VΓctor Camillo +2 more
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On injective objects and existence of injective hulls in π-TOP/(π, π) [PDF]
Categories and General Algebraic Structures with Applications, 2022 In this paper, motivated by Cagliari and Mantovani, we have obtained a characterization of injective objects (with respect to the class of embeddings in the category π-TOP of π-topological spaces) in the comma category π-TOP/(π,π), when (π,π) is a ...
Harshita Tiwari, Rekha Srivastava
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Finiteness of the injective hull
Mathematische Zeitschrift, 1958 Rosenberg, Alex, Zelinsky, Daniel
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The ideal of Lipschitz classical p-compact operators and its injective hull
Moroccan Journal of Pure and Applied Analysis, 2022 We introduce and investigate the injective hull of the strongly Lipschitz classical p-compact operator ideal defined between a pointed metric space and a Banach space.
Tiaiba Toufik, Achour Dahmane
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Injective hulls for posemigroups; pp. 372β378 [PDF]
Proceedings of the Estonian Academy of Sciences, 2014 We show that injectives with respect to a specific class of order embeddings in the category of posemigroups with submultiplicative morphisms are quantales and construct injective hulls for a certain class of posemigroups with respect to this specific ...
Xia Zhang, Valdis Laan
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Injective Hulls of Quantale-Enriched Multicategories [PDF]
Applied Categorical Structures, 2021 In this communication we generalize some recent results of Rump to categories enriched in a commutative quantale V. Using these results, we show that every quantale-enriched multicategory admits an injective hull. Finally, we expose a connection between the Isbell adjunction and the construction of injective hulls for topological spaces made by ...
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Correction to: Injective hulls for ordered algebras [PDF]
Algebra universalis, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Xia +3 more
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Lattice-Ordered Injective Hulls [PDF]
Transactions of the American Mathematical Society, 1972 It is well known that the injective hull of a lattice-ordered group ( l l -group)
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On the injective hulls of semisimple modules [PDF]
Transactions of the American Mathematical Society, 1971 Let R be a ring. Let T= (?., E(R/Mi) and W= 17ic, E(R/Mi), where each Mi is a maximal right ideal and E(A) is the injective hull of A for any R-module A. We show the following: If R is (von Neumann) regular, E(T) = T iff {R/MJ}., contains only a finite number of nonisomorphic simple modules, each of which occurs only a finite number of times, or if it ...
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