GORENSTEIN T-SPREAD VERONESE ALGEBRAS

Dinu, Rodica

doi:https://doi.org/10.18910/77237

GORENSTEIN T-SPREAD VERONESE ALGEBRAS

Dinu, Rodica

Osaka Journal of Mathematics, 2020, 57(4), 935-947

アクセス数:129件（2025-07-06 09:23 集計）

固定URL: https://doi.org/10.18910/77237

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タイトル	GORENSTEIN T-SPREAD VERONESE ALGEBRAS
著者	著者名 Dinu, Rodica
抄録	Let S = K[x_1, x_2, . . . , x_n] be the polynomial ring in n variables over a field K. We fix integers d and t. A monomial x_＜i1＞ x_＜i2＞ · · · x_＜id＞ with i_1 ≤ i_2 ≤ · · · ≤ i_d is t-spread if i_j − i_＜j−1＞ ≥ t, for any 2 ≤ j ≤ n. Let I_＜n,d,t＞ be the ideal generated by all t-spread monomials of degree d and let K[I_＜n,d,t＞] be the toric algebra generated by the monomials v with v ∈ G(I_＜n,d,t＞). This generalizes the classical (squarefree)Veronese algebras. The aim of this paper is to characterize the algebras K[I_＜n,d,t＞] which are Gorenstein.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(4)
ページ	935-947
刊行年月	2020-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/77237
DOI	https://doi.org/10.18910/77237
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 57, Number 4 （2020-10）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2020, 57(4), p. 935-947
DC.title	GORENSTEIN T-SPREAD VERONESE ALGEBRAS
DC.creator	Dinu, Rodica
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2020-10
DCTERMS.abstract	Let S = K[x_1, x_2, . . . , x_n] be the polynomial ring in n variables over a field K. We fix integers d and t. A monomial x_＜i1＞ x_＜i2＞ · · · x_＜id＞ with i_1 ≤ i_2 ≤ · · · ≤ i_d is t-spread if i_j − i_＜j−1＞ ≥ t, for any 2 ≤ j ≤ n. Let I_＜n,d,t＞ be the ideal generated by all t-spread monomials of degree d and let K[I_＜n,d,t＞] be the toric algebra generated by the monomials v with v ∈ G(I_＜n,d,t＞). This generalizes the classical (squarefree)Veronese algebras. The aim of this paper is to characterize the algebras K[I_＜n,d,t＞] which are Gorenstein.
DC.identifier	10.18910/77237
DC.format	77237
citation_title	GORENSTEIN T-SPREAD VERONESE ALGEBRAS
citation_author	Dinu, Rodica
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	4
citation_firstpage	935
citation_lastpage	947
citation_public_url	https://hdl.handle.net/11094/77237
citation_doi_detail	10.18910/77237
citation_doi	https://doi.org/10.18910/77237

GORENSTEIN T-SPREAD VERONESE ALGEBRAS

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