Quasi-injectivity of partially ordered acts

M Yavari, MM Ebrahimi - Journal of Algebra and Its Applications, 2022 - World Scientific
… Also, quasi-injective modules and acts have been studied by many categorists. In this paper,
we study quasi-injectivity in the category of … For a simple example, take S to be the one …

[PDF][PDF] ON ENDOMORPHISM RINGS OF AUTOMORPHISM-INVARIANT MODULES.

DT Trang - … de Rolando Eötvös Nominatae. Sectio Computatorica, 2022 - ac.inf.elte.hu
… and module theory. In 1961, Johnson and Wong ([8]) studied quasi-injective modules, a
module M is called quasi-injective … Next, we show that every simple right ideal of R2 is nilpotent. …

-Rigid Modules for Algebras with Radical Square Zero

X Zhang - Algebra Colloquium, 2021 - World Scientific
… Because Λ is self-injective, we see that r is simple by [15, … (⇐) By Lemma 2.2, one sees that
P is projective and injective… Λ the associate module category modulo injective modules, and …

Homological objects of min-pure exact sequences

Y Alagöz, A Moradzadeh-dehkordı - Hacettepe Journal of …, 2023 - dergipark.org.tr
… Motivated by min-pure injective modules, we introduce the homological objects which
are … , whence R is Artinian by [2, Theorem 1] and the fact that simple injectives are min-injective. …

Relative FP-injective and FP-flat complexes and their model structures

T Zhao, MA Pérez - Communications in Algebra, 2019 - Taylor & Francis
… -modules and R-homomorphisms will be simply referred to as complexes. We will distinguish
left R-modules from right R-modules … concept of FP n -injective modules. Below we present …

[HTML][HTML] Infinitely generated pseudocompact modules for finite groups and Weiss' Theorem

JW MacQuarrie, P Symonds, PA Zalesskii - Advances in Mathematics, 2020 - Elsevier
… lattices could be proved using a simple limit argument, but this does … modules are the same
as injective modules, so that every abstract module is an inverse limit of projective modules

-Rickart modules

G Lee, M Medina-Bárcenas - Journal of Algebra and Its Applications, 2020 - World Scientific
injective modules and we extend the known result that over a right hereditary ring factor
modules of injective modules are injectivemodules P(1) and P(2) and two nonisomorphic simple

Homological algebra of modules over posets

E Miller - arXiv preprint arXiv:2008.00063, 2020 - arxiv.org
modules to simpler ones by less restrictive decomposition, such as primary decomposition,
or by resolution, such as by projective or injective modules… Zn-module, and there is simply no …

[PDF][PDF] Strongly Weakly Supplement Extending Modules

AA Al-Rubaye, SA Al-Saadi - Al-Mustansiriyah Journal of Science, 2019 - iasj.net
… supplement extending modules, a semi-simple module need … For example, M=𝑍2⨁𝑍2 as
Z-module is semi-simple module … in injective hull of M, then N ⨁ K is essential in injective hull of …

On Galois corings

R Wisbauer - Hopf algebras in noncommutative geometry and …, 2019 - taylorfrancis.com
… While his radical did not contribute to the classification of simple algebras, it certainly deepened
… M-injective module V G a[M] is M-generated, this map is surjective for such modules. To …