Phantom Envelopes and -Phantom Covers of Modules
L Mao - Bulletin of the Iranian Mathematical Society, 2020 - Springer
… existence of Ext-phantom preenvelopes is a special case of [14… monomorphism is a phantom
envelope of a left R-module, then … {Ext}\)-phantom cover of a left R-module, then its kernel is …
envelope of a left R-module, then … {Ext}\)-phantom cover of a left R-module, then its kernel is …
Precovers and preenvelopes by phantom and Ext-phantom morphisms
L Mao - Communications in Algebra, 2016 - Taylor & Francis
… module has a phantom preenvelope if R is a right coherent ring and every left R-module has
an Ext-phantom cover … the existence of (pre)covers and (pre)envelopes with respect to some …
an Ext-phantom cover … the existence of (pre)covers and (pre)envelopes with respect to some …
Higher phantom and Ext-phantom morphisms
L Mao - Journal of Algebra and Its Applications, 2018 - World Scientific
… left R-module has an n-Ext-phantom cover and n-Ext-phantom … terms of envelopes and covers
by n-phantom and n-Ext-phantom … with identity and all modules are unitary. The character …
by n-phantom and n-Ext-phantom … with identity and all modules are unitary. The character …
On n-phantom and n-Ext-phantom Morphisms
K Lan, B Lu - Taiwanese Journal of Mathematics, 2021 - JSTOR
… conclusions based on phantom envelopes and Ext-phantom covers of modules, and we find
… after replacing phantom and Ext-phantom with n-phantom and n-Ext-phantom respectively. …
… after replacing phantom and Ext-phantom with n-phantom and n-Ext-phantom respectively. …
On covers and envelopes in some functor categories
L Mao - Communications in Algebra, 2013 - Taylor & Francis
… modules in terms of, among others, torsion theories. We also describe the relationship
between phantoms and Ext-phantoms … We prove that every left R-module M has an Ext-phantom …
between phantoms and Ext-phantoms … We prove that every left R-module M has an Ext-phantom …
RD-phantom and RD-Ext-phantom Morphisms
L Mao - Filomat, 2018 - doiserbia.nb.rs
… module has an epic RD-phantom cover with the kernel RD-injective and has a monic RD-Ext-phantom …
In ideal approximation theory, the concepts of classical covers and envelopes for …
In ideal approximation theory, the concepts of classical covers and envelopes for …
Higher phantom morphisms with respect to a subfunctor of Ext
L Mao - Algebras and Representation Theory, 2019 - Springer
… -phantom morphisms by n and the ideal of n-Ext-phantom morphisms by n. The category of
morphisms of modules … We first recall the definitions of (pre)covers and (pre)envelopes. Let A …
morphisms of modules … We first recall the definitions of (pre)covers and (pre)envelopes. Let A …
Neat-phantom and clean-cophantom morphisms
L Mao - Journal of Algebra and Its Applications, 2021 - World Scientific
… R-modules is called a cophantom morphism or Ext-phantom … ring R, every R-module has a
neatphantom cover with a neat-… of neat-injective envelope of a module, we need the following …
neatphantom cover with a neat-… of neat-injective envelope of a module, we need the following …
[PDF][PDF] --phantom and --cophantom morphisms
M KHATTARI, D BENNIS - International Electronic Journal of Algebra - dergipark.org.tr
… phantom if Torn(A, α) = 0 for any finitely presented right module A and α is said to be an n-Ext-phantom …
This theory is a generalization of the classical theory of covers and envelopes (…
This theory is a generalization of the classical theory of covers and envelopes (…
[PDF][PDF] MORPHISMS THAT FACTOR THROUGH A COTORSION MODULE
L Mao - Mathematical Reports, 2022 - imar.ro
… M → N of left R-modules an Ext-phantom morphism [11] if the … of modules, just as we know
that a phantom morphism may … An I-preenvelope ϕ : M → N is called an I-envelope if every …
that a phantom morphism may … An I-preenvelope ϕ : M → N is called an I-envelope if every …