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Critical Modules of the Ring of Differential Operators of an Affine Semigroup Algebra

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Title: Critical Modules of the Ring of Differential Operators of an Affine Semigroup Algebra
Authors: Saito, Mutsumi Browse this author
Keywords: Affine semigroup algebras
Critical modules
Rings of differential operators
Issue Date: Feb-2010
Publisher: Taylor & Francis
Journal Title: Communications in Algebra
Volume: 38
Issue: 2
Start Page: 618
End Page: 631
Publisher DOI: 10.1080/00927870902828603
Abstract: Let D be the ring of differential operators of an affine semigroup algebra. Regarding the Krull dimension of finitely generated Zd-graded D-modules, we characterize critical Zd-graded D-modules. Moreover we explicitly describe cyclic ones.
Rights: This is an electronic version of an article published in Communications in Algebra, 38(2), Feb. 2010, 618-631. Communications in Algebra is available online at: http://www.informaworld.com/openurl?genre=article&issn=0092-7872&volume=38&issue=2&spage=618
Type: article (author version)
URI: http://hdl.handle.net/2115/44781
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 齋藤 睦

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