Weak n-injective and weak n-fat modules
U Arunachalam, S Raja, S Chelliah… - Czechoslovak …, 2022 - Springer
We introduce and study the concepts of weak n-injective and weak n-flat modules in terms of
super finitely presented modules whose projective dimension is at most n, which generalize
the n-FP-injective and n-flat modules. We show that the class of all weak n-injective R-
modules is injectively resolving, whereas that of weak n-flat right R-modules is projectively
resolving and the class of weak n-injective (or weak n-flat) modules together with its left (or
right) orthogonal class forms a hereditary (or perfect hereditary) cotorsion theory.
super finitely presented modules whose projective dimension is at most n, which generalize
the n-FP-injective and n-flat modules. We show that the class of all weak n-injective R-
modules is injectively resolving, whereas that of weak n-flat right R-modules is projectively
resolving and the class of weak n-injective (or weak n-flat) modules together with its left (or
right) orthogonal class forms a hereditary (or perfect hereditary) cotorsion theory.
[PDF][PDF] Weak -injective and weak -fat modules
A Umamaheswaran, R Saravanan… - Czechoslovak …, 2022 - researchgate.net
In this paper, we introduce and study the concepts of weak n-injective and weak n-flat
modules in terms of super finitely presented modules whose projective dimension is at most
n, which generalize the n-FP-injective and n-flat modules. We show that the class of all weak
n-injective R-modules is injectively resolving whereas that of weak n-flat right R-modules is
projectively resolving and the class of weak n-injective (resp., weak n-flat) modules together
with its left (resp., right) orthogonal class forms a hereditary (resp., perfect hereditary) …
modules in terms of super finitely presented modules whose projective dimension is at most
n, which generalize the n-FP-injective and n-flat modules. We show that the class of all weak
n-injective R-modules is injectively resolving whereas that of weak n-flat right R-modules is
projectively resolving and the class of weak n-injective (resp., weak n-flat) modules together
with its left (resp., right) orthogonal class forms a hereditary (resp., perfect hereditary) …
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