Results 171 to 180 of about 204,304 (200)
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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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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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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.
R. Herrlich, G. E. Strecker
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On $\tau$-injective hulls of modules
Publicationes Mathematicae Debrecen, 2002Let \(R\) be a ring and \(p\) be a prime ideal. The paper under review studies injective hulls of \(R/p\) with respect to torsion theories \(\tau\). A \(\tau\)-injective module is then a module which is injective with respect to monomorphisms with \(\tau\)-torsion cokernel. A module \(M\) is \(\tau\)-cocritical if \(M\) is \(\tau\)-torsion free and all
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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.
Shengwei Han, Rongrong Wang, Xiaoting Xu
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On Ring Properties of Injective Hulls
Canadian Mathematical Bulletin, 1975Let R be an associative ring and denote by the injective hull of the right module RR. If can be endowed with a ring multiplication which extends the existing module multiplication, we say that is a ring and the statement that R is a ring will always mean in this sense.It is known that is a regular ring (in the sense of von Neumann) if and only if ...
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Injective Hulls in the Category of Mildly Distributive Semilattices
Order, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rings whose Injective Hulls are Cogenerators
Acta Mathematica Hungarica, 1998Let \(R\) be an associative ring with \(1\), and assume that \(R\) is right noetherian. The authors give necessary and sufficient conditions under which \(R\) is right artinian, in terms of the existence of nonzero linear maps from an arbitrary nonzero (right) \(R\)-module into a projective or flat module. This paper is motivated by similar results of \
Wu, Zhixiang, Xu, Yonghua
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Rings with cyclic injective hulls
Communications in Algebra, 2020We study the rings R whose injective hull E(RR) is cyclic, extending and simplifying many of the known results on the subject, and obtaining new ones.
Yasser F. Ibrahim, Mohamed F. Yousif
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ALGEBRAIC HULLS OF ADJOINT FUNCTORS AS INJECTIVE HULLS
Quaestiones Mathematicae, 1997Abstract For each adjoint functor U: A → X where X is an (ϵ, M)-category having enough ϵ-projectives, we construct an (ϵ, M)-algebraic hull E: (A, U) → (Â, U), i.e., (Â, U) is (epsiv; M)-algebraic and E has a certain denseness property. We show that there is a conglomerate of functors over X with respect to which the (ϵ M)-algebraic categories are ...
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Injective hulls for ordered algebras
Algebra universalis, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Xia, Laan, Valdis
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