Almost projective modules and generalized projective modules
I Kikumasa, Y Kuratomi, Y Shibata - Communications in Algebra, 2022 - Taylor & Francis
Almost N-projective modules and generalized N-projective modules play an important role
in the study of lifting modules and artinian rings. In this paper, we study a relationship …
in the study of lifting modules and artinian rings. In this paper, we study a relationship …
On modules and rings having large absolute direct summands
T Dao Thi, T M. Koşan, Ö Taşdemir… - Communications in …, 2023 - Taylor & Francis
An ADS module is a direct sum of mutually injective modules, and an e-ADS module is a
direct sum of mutually automorphism-invariant modules. In this paper, we introduce and …
direct sum of mutually automorphism-invariant modules. In this paper, we introduce and …
On generalized injective modules and almost injective modules
H Fuchigami, Y Kuratomi, Y Shibata - Journal of Algebra and Its …, 2024 - World Scientific
A module M is called N-almost-invariant for a module N if, for any homomorphism α: F→ E,
either α (N)⊆ M, or there exist nonzero direct summands F′ of F and E′ of E such that α …
either α (N)⊆ M, or there exist nonzero direct summands F′ of F and E′ of E such that α …