… define quite flat and almost cotorsion modules, and show that, … modules are quite flat and
all almost cotorsion modules are … flat modules and overclasses of Enochs cotorsion modules …

… We will call C a Σ -cotorsion pair if we only assume that the class of kernel modules is closed
under (arbitrarily … Hence it follows at once that the summands of Q/R are 1-tilting modules⊕ …

… the 1-tilting cotorsion pairs over a … 1-tilting cotorsion pairs arising from flat injective ring
epimorphisms. Explicitly, if 𝒢 is the Gabriel topology associated to the 1-tilting cotorsion pair ( 𝒜 , …

… ” of the constructed 1-tilting modules and provide an elementary … Finally, in the last section
we show that a 1-tilting module … about cotorsion pairs generated by sets of modules will be …

… tilting module T is said to be of finite type if the cotorsion pair … R and 1-tilting R-module T, that
T is of finite type whenever T … Prüfer domain R, that every 1-tilting module is of finite type. For …

… tilting and cotilting modules which agree with the classical notions of tilting and cotilting
modules of … We recall the notion of cotorsion pair introduced by Salce [14]. Given a class M of …

To a big $n$ -tilting object in a complete, cocomplete abelian category ${\textsf{A}}$ with an
injective cogenerator we assign a big $n$ -cotilting object in a complete, cocomplete abelian …

… Thus, as a corollary of Theorem 2.8, we obtain that if U is a cotilting Rmodule, then the
cotorsion theory generated by U is perfect; in particular Cogen U is a cover class. We could get …

… the following new characterization of tilting cotorsion pairs. … Then ℭ is an n-tilting cotorsion
pair if and only if ℭ is hereditary… Since the cotorsion pair ℭ is hereditary, we have X α / X β ∈ β …

… Since GP, Pfi is a complete cotorsion pair with P º I º In, we know from [2, Theorem 4.2] that
GP, Pfi is a cotilting cotorsion pair iff its kernel GP XP is closed under products. By [20, 10.2…