4 papers
SS-Injective Modules and Rings
Adel Salim Tayyah, Akeel Ramadan Mehdi
We introduce and investigate ss-injectivity as a generalization of both soc-injectivity and small injectivity. A module M is said to be ss-N-injective (where N is a module) if ever…
On L-Injective Modules
Akeel Ramadan Mehdi
Jirásko introduced the concepts of L-injective module as a generalization of injective module. The aim of this paper is to study L-injective modules and some related concepts.
Almost dual pairs and definable classes of modules
Akeel Ramadan Mehdi, Mike Prest
Holm (H. Holm, Modules with cosupport and injective functors, Algebr. Represent. Theor., 13 (2010), 543-560) considers categories of right modules dual to those with support in a s…
Purity Relative to Classes of Finitely Presented Modules
Akeel Ramadan Mehdi
We investigate purities determined by classes of finitely presented modules including the correspondence between purities for left and right modules. We show some cases where purit…