… normal ring R is Köthe (ie, each right and left R-module is a direct sum of cyclic R-modules) …
FC-purity and I-purity of modules and Köthe rings, Comm. Algebra 42 (2014) 2061–2081. 3. …

… either a local left perfect ring or a normal left perfect ring, we have obtained results which
state that to check whether every left R-module is RD-injective (or, R is Köthe), it suffices to test …

… Recall that a right Köthe ring is a ring R such that each right R-module is a direct sum of
cyclic right R-modules. In Theorem 2.17, we show that a ring R is Köthe if and only if \(\underline{…

… that R is a two-sided Köthe ring provided that every right R-module is min-pure projective
(… and SH Shojaee, On FC-Purity and I-Purity of Modules and Köthe Rings, Comm. in Algebra …

… coherent rings and left singly injective rings… rings and left PP rings are given. Finally, we
study the singly flatness and singly injectivity of homomorphism modules over a commutative ring…

… R-module is ⊕-sa-supplemented if and only if there is a ring … Finally, we prove that, over
commutative C rings, any module … , On FC-purity and I-purity of modules and Köthe rings, Comm…

… rings whose injective modules are min-pure projective are considered. Finally, we consider
the rings whose all modules … , On FC-Purity and I-Purity of Modules and Kothe Rings, Comm. …