Lifting modules with finite internal exchange property and direct sums of hollow modules
Y Kuratomi - Journal of Algebra and Its Applications, 2021 - World Scientific
… lifting module over a right perfect ring is a direct sum of a d-square-free module and a dual
square full module… Jónson, Refinements for infinite direct decompositions of algebraic systems…
square full module… Jónson, Refinements for infinite direct decompositions of algebraic systems…
Lifting of modular forms
J Bajpai - Publications mathématiques de Besançon. Algèbre et …, 2019 - numdam.org
… lift associates vvmf for a Weil representation to automorphic forms on orthogonal groups with
infinite product … , some efforts have been made to lift to vvmf, classical results like dimension …
infinite product … , some efforts have been made to lift to vvmf, classical results like dimension …
Finite presentation, the local lifting property, and local approximation properties of operator modules
J Crann - Journal of Functional Analysis, 2021 - Elsevier
… operator modules … modules by introducing analogues of the local lifting property, nuclearity,
and semi-discreteness. For a large class of operator modules we prove that the local lifting …
and semi-discreteness. For a large class of operator modules we prove that the local lifting …
On FI-t-lifting modules
R Tribak, Y Talebi, M Hosseinpour, M Abdi - Boletín de la Sociedad …, 2020 - Springer
… lifting modules and FI-lifting modules. We show that a direct sum of FI-t-lifting modules is not
FI-t-lifting… is an FI-t-lifting module, then \({\overline{Z}}^2(M)\) is a direct summand of M and \({\…
FI-t-lifting… is an FI-t-lifting module, then \({\overline{Z}}^2(M)\) is a direct summand of M and \({\…
A lifting problem for DG modules
M Ono, Y Yoshino - Journal of Algebra, 2021 - Elsevier
… B-module N, we can consider its semi-free resolution F N over B. If the semi-free DG B-module
F N has a lifting semi-free DG A-module M … the lifting problem only for semi-free modules. …
F N has a lifting semi-free DG A-module M … the lifting problem only for semi-free modules. …
A monoid-theoretical approach to infinite direct-sum decompositions of modules
Z Nazemian, D Smertnig - arXiv preprint arXiv:2401.08203, 2024 - arxiv.org
… infinite direct sums of projective modules are induced from relations between countable direct
sums of countably generated projective modules. … , our results allow the lifting of the KRSA …
sums of countably generated projective modules. … , our results allow the lifting of the KRSA …
Naïve liftings of DG modules
S Nasseh, M Ono, Y Yoshino - Mathematische Zeitschrift, 2022 - Springer
… lifting property of DG modules in … module which is an infinite direct sum of shifts of N in its
nature. However, weak liftability in the sense of [22, Definition 5.1] requires a finite direct sum …
nature. However, weak liftability in the sense of [22, Definition 5.1] requires a finite direct sum …
[PDF][PDF] A homological approach to⊕-supplemented modules
SK Sany, ARM Hamzekolaee, Y Talebi - Novi Sad J. Math, 2020 - sites.dmi.uns.ac.rs
… direct summand of M. In [1], the author studied a new generalization of both lifting and dual
Rickart modules namely I-lifting modules. … If M is an infinite direct sum of copies of the Prüfer p-…
Rickart modules namely I-lifting modules. … If M is an infinite direct sum of copies of the Prüfer p-…
Decompositions of dual automorphism invariant modules over semiperfect rings
Y Kuratomi - Siberian Mathematical Journal, 2019 - Springer
… module over a semiperfect ring with the projective lifting cover is a direct sum of cyclic
indecomposable d-square free modules… module M over a semiperfect ring with the projective lifting …
indecomposable d-square free modules… module M over a semiperfect ring with the projective lifting …
Many finite-dimensional lifting bundle gerbes are torsion
DM Roberts - Bulletin of the Australian Mathematical Society, 2022 - cambridge.org
… Recall that a locally finite group is a discrete group that is the filtered colimit of finite groups
or, equivalently, the direct limit of its finite subgroups. For instance, an infinite direct sum of …
or, equivalently, the direct limit of its finite subgroups. For instance, an infinite direct sum of …