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Weak $n$ -injective and weak $n$ -fat modules

Umamaheswaran Arunachalam, Saravanan Raja, Selvaraj Chelliah, Joseph Kennedy Annadevasahaya Mani (2022)

Czechoslovak Mathematical Journal

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...

When is a quasi-p-projective module discrete?

Talebi, Y., Khalili Gorji, I. (2008)

The Journal of Nonlinear Sciences and its Applications

When is the category of flat modules abelian?

J. García, J. Martínez Hernández (1995)

Fundamenta Mathematicae

Let Fl(R) denote the category of flat right modules over an associative ring R. We find necessary and sufficient conditions for Fl(R) to be a Grothendieck category, in terms of properties of the ring R.

Displaying 1 – 3 of 3

Weak n -injective and weak n -fat modules

When is a quasi-p-projective module discrete?

When is the category of flat modules abelian?

Currently displaying 1 – 3 of 3

Weak $n$ -injective and weak $n$ -fat modules