|
Algebra and Discrete Mathematics, 2003, Issue 3, Pages 95–101
(Mi adm387)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
RESEARCH ARTICLE
On the separability of the restriction functor
Th. Theohari-Apostolidi, H. Vavatsoulas Department of Mathematics, Aristotle University of
Thessaloniki, Thessaloniki 54124, Greece
Abstract:
Let G be a group, Λ=⨁σ∈GΛσ a strongly graded ring by G, H a subgroup of G and ΛH=⨁σ∈HΛσ. 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 condition for Λ to be a hereditary order in case Λ is a strongly graded by finite group R-order in a separable K-algebra, for R a Dedekind domain with quotient field K.
Keywords:
separable algebras, strongly graded algebras, restriction functor, induction functor.
Received: 12.05.2003 Revised: 23.10.2003
Citation:
Th. Theohari-Apostolidi, H. Vavatsoulas, “On the separability of the restriction functor”, Algebra Discrete Math., 2003, no. 3, 95–101
Linking options:
https://www.mathnet.ru/eng/adm387 https://www.mathnet.ru/eng/adm/y2003/i3/p95
|
Statistics & downloads: |
Abstract page: | 130 | Full-text PDF : | 64 | References: | 5 | First page: | 1 |
|