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Yamashita(k-jet-determinedDerivationArticle)(Ver151007).R1	pdf	270 KB	742

論文情報

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アクセス権	open access
URI	https://hdl.handle.net/2115/66192
タイトル	Derivations on a C∞-ring
著者	著者名 Yamashita, Tatsuya
言語	英語
キーワード	C-infinity-ring
	Differential manifold
	Derivation
	Jet
	Weil algebra
発行日	2016-11
出版者	Taylor & Francis
収録物名	Communications in algebra
巻(号)	44(11)
ページ	4811-4822
抄録	The main purpose of this paper is to provide several results on objects lying between differential geometry and algebraic geometry such as C-infinity-rings and derivations on a C-infinity-ring. A C-infinity-ring is defined as a set with operations by C-infinity-functions on Euclidean spaces. A derivation on a C-infinity-ring is defined in two method, an R-derivation and a C-infinity-derivation. The main result of this paper is to show that any R-derivation is a C-infinity-derivation for some classes of C-infinity-rings (Theorems 3.1, 3.2).
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in algebra on 2016.11, available online: http://www.tandfonline.com/10.1080/00927872.2015.1113293.
PISSN	0092-7872
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1080/00927872.2015.1113293

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