On strongly graded Gorestein orders

dc.contributor.author	Theohari-Apostolidi, Th.
dc.contributor.author	Vavatsoulas, H.
dc.date.accessioned	2019-06-18T17:55:03Z
dc.date.available	2019-06-18T17:55:03Z
dc.date.issued	2005
dc.identifier.citation	On strongly graded Gorestein orders / Th. Theohari-Apostolidi, H. Vavatsoulas // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 2. — С. 80–89. — Бібліогр.: 11 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 16H05, 16G30, 16S35, 16G10, 16W50.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/156618
dc.description.abstract	Let G be a finite group and let Λ = ⊕g∈GΛg 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, Λ is an R-order in a separable K-algebra such that the algebra Λ1 is a Gorenstein R-order, then Λ is also a Gorenstein R-order. Moreover, we prove that the induction functor ind : ModΛH → ModΛ defined in Section 3, for a subgroup H of G, commutes with the standard duality functor.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On strongly graded Gorestein orders	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA