On the reducing projective dimension over local rings

被引：1

作者：

Celikbas, Olgur ^{[1
]}

Dey, Souvik ^{[2
,3
]}

Kobayashi, Toshinori ^{[4
]}

Matsui, Hiroki ^{[5
]}

机构：

[1] West Virginia Univ, Sch Math & Data Sci, Morgantown, WV USA

[2] Univ Kansas, Dept Math, Lawrence, KS USA

[3] Charles Univ Prague, Fac Math & Phys, Dept Algebra, Sokolovska 83, Prague 18675, Czech Republic

[4] Meiji Univ, Sch Sci & Technol, Kawasaki, Kanagawa, Japan

[5] Tokushima Univ, Fac Sci & Technol, Dept Math Sci, Tokushima, Japan

来源：

GLASGOW MATHEMATICAL JOURNAL | 2024年 / 66卷 / 01期

关键词：

G-regular rings; minimal multiplicity; reducing projective and reducing Gorenstein dimension; MODULES;

D O I：

10.1017/S0017089523000368

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：104 / 118

页数：15

共 26 条

[11]

Bruns W., 1993, COHEN MACAULAY RINGS

[12]

Celikbas O., ARXIV

[13] ON THE SECOND RIGIDITY THEOREM OF HUNEKE AND WIEGAND [J].