Existence of Covers and Envelopes of a Left Orthogonal Class and Its Right Orthogonal Class of Modules

A Umamaheswaran, R Udhayakumar… - Journal of …, 2022 - Wiley Online Library
In this paper, we investigate the notions of X⊥‐projective, X‐injective, and X‐flat modules
and give some characterizations of these modules, where X is a class of left modules. We …

Right orthogonal class of pure projective modules over pure hereditary rings

U Arunachalam, U Ramalingam, S Chelliah… - arXiv preprint arXiv …, 2016 - arxiv.org
We denote by $\mathcal {W} $ the class of all pure projective modules. Present article we
investigate $\mathcal {W} $-injective modules and these modules are defined via the …