… module of an n-strongly Gorenstein flat module is n-strongly Gorenstein injective; and that
the character module of an n-strongly Gorenstein injective module is n-strongly Gorenstein flat …

… As applications, we first get two model structures related to Gorenstein flat modules over
a right coherent ring. Secondly, for any non-negative integer n, we construct a cofibrantly …

… with any injective module. We use G F to denote the class of Gorenstein flat modules. It is …
were defined in [Citation7] as a relative version of the Gorenstein flat modules. They are the …

… Since F is a Gorenstein flat module, we obtain that is a strongly Gorenstein flat complex by
the definition. From the hypothesis, the sequence (*) splits in the category of complexes, so …

… These involve the concept of a Hovey triple in exact additive categories, the basics on
Gorenstein flat and PGF-modules, and the notion of relative injectivity of linear maps with respect …

… question when Gorenstein flat modules are Gorenstein projective. … Gorenstein projective
modules and Gorenstein flat modules by employing strict Mittag–Leffler conditions and modules. …

… In preparation, we recall a result about colimits of Gorenstein flat modules: … of Gorenstein
flat modules is Gorenstein flat, so it remains to see that the modules V − 1 M are Gorenstein flat. …

… of any G-Gorenstein flat module is Gorenstein injective. This means … “M+ is Gorenstein
injective ⇒ M is Gorenstein flat” is true, … relative to the behavior of the generalized Gorenstein flat …

… Gorenstein projective (resp. injective) module [4, Theorem 2.7], and every Gorenstein flat
module is a direct summand of a strongly Gorenstein flat module [4, Theorem 3.5]. Later, Yang …

… modules over any commutative 1-Gorenstein ring R (Example 4.1). In the particular case of a
Dedekind domain, these are the only tilting and cotilting modules … of Gorenstein flat modules…