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Non-self-injective injective hulls with compatible multiplication [PDF]
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 \(R\),
Víctor Camillo +2 more
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Categorical Properties of Soft Sets [PDF]
The Scientific World Journal, 2014 The present study investigates some novel categorical properties of soft sets. By combining categorical theory with soft set theory, a categorical framework of soft set theory is established.
Min Zhou, Shenggang Li, Muhammad Akram
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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 M. Guarnera +2 more
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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 ...
exaly +5 more sources
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)
Stuart A. Steinberg
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Injective hulls of many-sorted ordered algebras
Open Mathematics, 2019 This paper is devoted to the study of injectivity for ordered universal algebras. We first characterize injectives in the category OALΣ⩽$\begin{array}{} \displaystyle {\mathsf{OAL}_{{\it\Sigma}}^{\leqslant}} \end{array}$ of ordered Σ-algebras with lax ...
Xia Zhang, Wolfgang Rump
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On injective objects and existence of injective hulls in 𝑄-TOP/(𝑌, 𝜎) [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 𝑄-TOP of 𝑄-topological spaces) in the comma category 𝑄-TOP/(𝑌,𝜎), when (𝑌,𝜎) is a ...
Harshita Tiwari, Rekha Srivastava
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Injective hulls for posemigroups; pp. 372–378 [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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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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Ziegler partial morphisms in additive exact categories
Bulletin of Mathematical Sciences, 2020 We develop a general theory of partial morphisms in additive exact categories which extends the model theoretic notion introduced by Ziegler in the particular case of pure-exact sequences in the category of modules over a ring.
Manuel Cortés-Izurdiaga +3 more
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