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 …
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. …
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 …
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. …
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 …
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…
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 injective… modules P(1) and P(2) and two nonisomorphic simple …
modules of injective modules are injective… modules 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 …
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 …
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 …
… M-injective module V G a[M] is M-generated, this map is surjective for such modules. To …