Results 11 to 20 of about 26,347 (170)

Injective Hulls of Infinite Totally Split-Decomposable Metric Spaces

Axioms
We extend the theory of splits in finite metric spaces to infinite ones. Within this more general framework, we investigate the class of spaces having metrics that are integer-valued and totally split-decomposable, as well as the polyhedral complex ...
Maël Pavón
doaj   +2 more sources

Equivalence of Almost N-Automorphism-Invariant and Almost N-Pseudo-Injective Modules

Journal of Mathematics
The objective of this work is to generalize a result of Fuchigami, Kuratomi, and Shibata, published in the Journal of Algebra and Its Applications, Vol. 23, No. 2, 24500272024.
Amnah A. Alkinani, Ahmad M. Alghamdi
doaj   +2 more sources

Injective hulls with distinct ring structures [PDF]

Journal of Pure and Applied Algebra, 2009
If \(R\) is a ring with \(E=E_R=E(R_R)\) an injective hull and \(\iota\colon R_R\to E_R\) an essential embedding, then the ring structure on \(E(R_R)\) is said to be compatible if the ring multiplication extends the scalar multiplication. It is well known that if \(E(R_R)\) is a rational extension of \(R_R\), then \(E(R_R)\) has a unique compatible ...
Birkenmeier, Gary F., Osofsky, Barbara L., Park, Jae Keol, Rizvi, S. Tariq   +3 more
openaire   +3 more sources

On injective hulls of simple modules [PDF]

Journal of Algebra, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hirano, Y.
openaire   +2 more sources

FP-GR-INJECTIVE MODULES [PDF]

, 2011
In this paper, we give some characterizations of FP-grinjective R-modules and graded right R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr-injective envelopes and FP-gr-injective covers.
Yang, Xiaoyan, Liu, Zhongkui
core   +1 more source

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 ...
openaire   +1 more source

Injective symmetric quantaloid-enriched categories [PDF]

, 2023
We characterize injective objects, injective hulls and essential embeddings in the category of symmetric categories enriched in a small, integral and involutive quantaloid.
Shen, Lili, Yang, Hang
core   +1 more source

Convexity in quasi-metric spaces [PDF]

, 2012
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core   +1 more source

Pure-injective hulls of modules over valuation rings [PDF]

, 2006
If R̂ is the pure-injective hull of a valuation ring R, it is proved that R̂⊗RM is the pure-injective hull of M, for every finitely generated R-module M. Moreover R̂⊗RM≅⊕1≤k≤nR̂/AkR̂, where (Ak)1≤k≤n is the annihilator sequence of M.
Couchot, F., Couchot, Francois, François Couchot   +2 more
core   +1 more source

Relative natural classes and relative injectivity

International Journal of Mathematics and Mathematical Sciences, 2005
Let τ be a hereditary torsion theory on the category R-Mod of left R-modules over an associative unitary ring R. We introduce the notion of τ-natural class as a class of modules closed under τ-dense submodules, direct sums, and τ-injective hulls.
Septimiu Crivei
doaj   +1 more source