Diagonal tensor algebra and naive liftings

The notion of naive lifting of DG modules was introduced by the authors in [16,17] for the purpose of studying problems in homological commutative algebra that involve self-vanishing of Ext. Our goal in this paper is to deeply study the naive lifting property using the tensor algebra of the shift of the diagonal ideal (or, diagonal tensor algebra, as is phrased in the title of this paper). Our main result provides several characterizations of naive liftability of DG modules under certain Ext vanishing conditions. As an application, we affirmatively answer [19, Question 4.10] under the same assumptions.Comment: 20 page

Evaluation and selection of LiNbO3 and LiTaO3 substrates for SAW devices by the LFB ultrasonic material characterization system

科研費報告書収録論文(課題番号:12450119・基盤研究(B)(2) ・H12～H14/研究代表者:櫛引, 淳一/UMS技術を用いた超高周波SAWデバイス用単結晶基板表面の評価技術の開発