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Injective hulls are not natural
Algebra Universalis, 2002The question whether a given category has enough injectives (so that every object may be embedded into an injective one) or even injective hulls (so that such embeddings may be chosen to be essential), has been investigated for many categories, particularly in commutative and homological algebra, algebraic geometry, topology and in functional analysis.
Jiří Rosicky +2 more
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Canadian Mathematical Bulletin, 1996 AbstractThe mutual injective hull of an arbitrary family of modules is constructed. Applications to the calculations of quasi-injective and π-injective hulls of direct sums are given.
Jain, S. K. +2 more
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On the injective hulls of quantum B-algebras
Fuzzy Sets and Systems, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sheng-Wei Han
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Results in Mathematics, 1999
The known results about injective objects in the category of join semilattices are generalized to the category \(\text{POS}_V\) of posets and \(V\)-homomorphisms. Any \(V\)-homomorphism is isotone and, on join semilattices, \(V\)-homomorphisms coincide with join preserving maps.
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The known results about injective objects in the category of join semilattices are generalized to the category \(\text{POS}_V\) of posets and \(V\)-homomorphisms. Any \(V\)-homomorphism is isotone and, on join semilattices, \(V\)-homomorphisms coincide with join preserving maps.
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Injective Hulls of Torsion Free Modules
Canadian Journal of Mathematics, 1971 In § 1, we begin with a basic theorem which describes a convenient embedding of a nonsingular left R-module into a complete direct product of copies of the left injective hull of R (Theorem 2). Several applications follow immediately. Notably, the injective hull of a finitely generated nonsingular left R-module is isomorphic to a direct sum of ...
J. Zelmanowitz
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CARTESIAN CLOSED TOPOLOGICAL HULLS AS INJECTIVE HULLS
Quaestiones Mathematicae, 1986Abstract It is shown that (concretely) Cartesian closed topological hulls can be characterized as injective hulls in a rather natural setting. The characterization of locale hulls as injective hulls in the category of (meet-) semilattices by Bruns & Lakser and Born & Kimura constitutes a special case.
G E Strecker
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Injective hulls for ordered algebras
Algebra Universalis, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Valdis Laan
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Injective Hulls of Modules [PDF]
, 1966 Doctor of Philosophy (PhD)
Tiwary, Awadhesh Kumar
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On stability of ultrametrically injective hulls
Topology and Its ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Injective Hulls are Completions of Ordered Algebras
Order, 2023Let \(P\) be a poset. A subset \(S\subseteq P\) is called a \textit{lower subset} if \(\downarrow\!\! S=S\). An ordered \(\Omega\)-algebra \(\mathcal{A}= (A,\Omega_{\mathcal{A}}, \leq_{\mathcal{A}})\) is called a \textit{sup-algebra} if the poset \((A, \leq_{\mathcal{A}} )\) is a complete lattice and all elementary translations preserve joins. Denoting
Xia Zhang, Valdis Laan, Jianjun Feng
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