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http://hdl.handle.net/123456789/165
Title: | On strongly graded Gorestein orders |
Authors: | Theohari-Apostolidi, Th. Vavatsoulas, H. |
Keywords: | алгебра математика |
Issue Date: | 2005 |
Publisher: | Луганский национальный университет им. Т. Шевченко |
Abstract: | Let G be a finite group and let = g2G g be a strongly G-graded R-algebra, where R is a commutative ring with unity. We prove that if R is a Dedekind domain with quotient field K, is an R-order in a separable K-algebra such that the algebra 1 is a Gorenstein R-order, then is also a Gorenstein R-order. Moreover, we prove that the induction functor ind : Mod H ! Mod defined in Section 3, for a subgroup H of G, commutes with the standard duality functor |
URI: | http://hdl.handle.net/123456789/165 |
Appears in Collections: | Статті |
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