On the separability of the restriction functor

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Authors: Theohari-Apostolidi, Th., Vavatsoulas, H.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155703
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the separability of the restriction functor / Th. Theohari-Apostolidi, H. Vavatsoulas // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 3. — С. 95–101. — Бібліогр.: 9 назв. — англ.

Let G be a group, Λ = L σ∈G Λσ a strongly graded ring by G, H a subgroup of G and ΛH = L σ∈H Λσ. We give a necessary and sufficient condition for the ring Λ/ΛH to be separable, generalizing the corresponding result for the ring extension Λ/Λ1. As a consequence of this result we give a conditio...