Results 141 to 150 of about 26,347 (170)

Injective hulls of chains

Archiv Der Mathematik, 1973
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Injective Hulls of Semilattices

Canadian Mathematical Bulletin, 1970
A (meet-) semilattice is an algebra with one binary operation ∧, which is associative, commutative and idempotent. Throughout this paper we are working in the category of semilattices. All categorical or general algebraic notions are to be understood in this category. In every semilattice S the relationdefines a partial ordering of S.
Bruns, G., Lakser, H.
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The metric injective hulls of normed spaces [PDF]

Topology and Its Applications, 1992
Let M denote the category of metric spaces with contractions as morphisms and N denote the category of real normed spaces with linear contractions as morphisms.
Rao, N.V.
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Injective hulls of flat modules

Communications in Algebra, 1980
E Enochs
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On injective hulls of $$S$$ S -posets

Semigroup Forum, 2014
The authors describe injectives in the category of \(S\)-posets with \(S\)-submultiplicative morphisms and construct injective hulls of \(S\)-posets with respect to a specific class \({\mathcal E}_{\leq}\) of morphisms. The main theorem reads as follows: For every \(S\)-poset \(A_S\), the quantal \({\mathcal Q}(A)_S\) is the \({\mathcal E}_{\leq ...
Zhang, Xia, Laan, Valdis
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Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras [PDF]

Journal of Algebra, 2012
We show that the finite dimensional nilpotent complex Lie superalgebras g whose injective hulls of simple U(g)-modules are locally Artinian are precisely those whose even part g0 is isomorphic to a nilpotent Lie algebra with an abelian ideal of ...
Can Hatipoğlu, Christian Lomp
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On the Annihilators of the Injective Hull of a Module

Canadian Mathematical Bulletin, 1969
In [2, page 151], J. Lambek proposes the following exercise: With any maximal right ideal M of a ring R with 1 associate the ideal . Show that OM, is the right annihilator of the injective hull of the right R-module R/M. The purpose of this note is to show that the above statement is true for a much larger class of right ideals than that of maximal ...
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Constructing pure injective hulls

Journal of Symbolic Logic, 1980
Let A be an abelian group and B a pure injective pure extension of A. Then there is a homomorphic image C of B over A which is a pure injective hull of A; C can be constructed by using Zorn's lemma to find a suitable congruence on B. In a paper [4] which greatly generalises this and related facts about pure injectives, Walter Taylor asks (Problem 1.5 ...
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On $\tau$-injective hulls of modules

Publicationes Mathematicae Debrecen, 2002
Let \(R\) 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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A New Construction of the Injective Hull

Canadian Mathematical Bulletin, 1968
The definition of injectivity, and the proof that every module has an injective extension which is a subextension of every other injective extension, are due to R. Baer [B]. An independent proof using the notion of essential extension was given by Eckmann-Schopf [ES]. Both proofs require the p reliminary construction of some injective overmodule. In [F]
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