@article{oai:u-ryukyu.repo.nii.ac.jp:02006998,
 author = {Yamashiro, Yasukazu and 山城, 康一},
 journal = {Ryukyu mathematical journal},
 month = {Dec},
 note = {In [5], we considered the equivalent class of desending chains of subrings. In this note, we consider Hirata separable extension (H-separable extension) over the desending chain of subrings. Let Λ be a ring, Γ a subring of Λ, C the center of Λ and Δ the commutater of Γ in Λ. Λ is a Hirata separabale extension over Γ if and only if Δ is C-finitely generated projective and Λ ⊗_γ Λ ≅ Hom_c(Δ , Λ) by the map a ⊗ b → [d → adb], where a ⊗ b ∈ Λ ⊗_γ Λ and d ∈ Δ (Theorem 1.1 in [3])., 紀要論文},
 pages = {117--121},
 title = {HIRATA SEPARABLE EXTENSION OVER THE DESCENDING CHAIN OF SUBRINGS},
 volume = {24},
 year = {2011}
}