[图书][B] Lifting modules: supplements and projectivity in module theory

J Clark, C Lomp, N Vanaja, R Wisbauer - 2008 - books.google.com
Extending modules are generalizations of injective modules and, dually, lifting modules
generalize projective supplemented modules. There is a certain asymmetry in this duality …

Projective covers of flat contramodules

S Bazzoni, L Positselski… - International Mathematics …, 2022 - academic.oup.com
We show that a direct limit of projective contramodules (over a right linear topological ring) is
projective if it has a projective cover. A similar result is obtained for-strictly flat contramodules …

Closure properties of lim⟶⁡ C

L Positselski, P Příhoda, J Trlifaj - Journal of Algebra, 2022 - Elsevier
Let C be a class of modules and L= lim→ C the class of all direct limits of modules from C.
The class L is well understood when C consists of finitely presented modules: L then enjoys …

[HTML][HTML] On locally pure-injective modules

W Zimmermann - Journal of Pure and Applied Algebra, 2002 - Elsevier
The subject of this article are the modules M over a ring R such that every element of M is
contained in a pure-injective direct summand of M. For obvious reasons we call these …

Covers and envelopes via endoproperties of modules

L Angeleri-Hügel - Proceedings of the London Mathematical Society, 2003 - cambridge.org
Covers and Envelopes via Endoproperties of Modules Page 1 COVERS AND ENVELOPES VIA
ENDOPROPERTIES OF MODULES LIDIA ANGELERI-HUÈ GEL Precovers and preenvelopes …

[PDF][PDF] Big direct sums of copies of a module have well behaved indecomposable decompositions

JLG Pardo, PAG Asensio - Journal of Algebra, 2000 - academia.edu
In the study of indecomposable decompositions of a module, there are several properties
which play a significant role. A condition that is very useful in practice for checking whether a …

[图书][B] On some precovers and preenvelopes

LA Hügel - 2000 - Citeseer
Precovers and preenvelopes were introduced in the early eighties by Enochs [48] and,
independently, by Auslander and Smalø [16]. Enochs gave a general definition in terms of …

[图书][B] Categories of modules over endomorphism rings

TG Faticoni - 1993 - books.google.com
The goal of this work is to develop a functional transfer of properties between a module A
and the category* M* E of right modules over its endomorphism ring* E that is more sensitive …

Coreflexive modules and semidualizing modules with finite projective dimension

X Tang, Z Huang - Taiwanese Journal of Mathematics, 2017 - projecteuclid.org
Let $ R $ and $ S $ be rings and $ _S\omega_R $ a semidualizing bimodule. For a subclass
$\mathcal {T} $ of the class of $\omega $-coreflexive modules and $ n\geq 1$, we introduce …

Strict Mittag-Leffler modules and purely generated classes

P Rothmaler - … and Combinatorial Methods in Algebras, Contemp …, 2020 - books.google.com
We study versions of strict Mittag-Leffler modules relativized to a class K (of modules), that is,
strict versions (in the technical sense of Raynaud and Gruson) of K-Mittag-Leffler modules …