数学
局部环
纯数学
残渣场
全局维度
诺瑟人
维数(图论)
投射试验
诺瑟环
交换性质
域代数上的
领域(数学)
戒指(化学)
化学
有机化学
作者
Olgur Celikbas,Souvik Dey,Toshinori Kobayashi,Hiroki Matsui
标识
DOI:10.1017/s0017089523000368
摘要
Abstract In this paper, we are concerned with certain invariants of modules, called reducing invariants, which have been recently introduced and studied by Araya–Celikbas and Araya–Takahashi. We raise the question whether the residue field of each commutative Noetherian local ring has finite reducing projective dimension and obtain an affirmative answer for the question for a large class of local rings. Furthermore, we construct new examples of modules of infinite projective dimension that have finite reducing projective dimension and study several fundamental properties of reducing dimensions, especially properties under local homomorphisms of local rings.
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