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

A Umamaheswaran, R Udhayakumar… - Journal of …, 2022 - hindawi.com
In this paper, we investigate the notions of-projective,-injective, and-flat modules and give
some characterizations of these modules, where is a class of left modules. We prove that the …

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 …