マツオカ　ナオユキ   MATSUOKA Naoyuki   松岡　直之    所属   明治大学  理工学部    職種   専任教授
言語種別	英語
発行・発表の年月	2013/04
形態種別	学術雑誌
標題	Almost Gorenstein rings
執筆形態	共著(その他)
掲載誌名	Journal of Algebra
掲載区分	国外
巻・号・頁	379,pp.355-381
著者・共著者	Shiro Goto, Naoyuki Matsuoka, Tran Thi Phuong
概要	Barucci and Fröberg (1997) [2]introduced the notion of an almost Gorenstein ring in the case of an analytically unramified local ring (R,m). In this work we provide a framework that allows us to generalize this notion to include the analytically ramified case. As a consequence, for any Cohen-Macaulay local ring (R,m) of dimension one we solve in full generality the problem of determining when the endomorphism algebra m:m is Gorenstein. We also provide characterizations for rings to be almost Gorenstein in connection with the principle of idealization. Several examples are explored as well. © 2013 Elsevier Inc.
DOI	10.1016/j.jalgebra.2013.01.025
ISSN	00218693
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