Restricted injective dimensions over local homomorphisms-Reference-Cited by-同舟云学术

Restricted injective dimensions over local homomorphisms

Published:2018-05-18 Issue:3 Volume:68 Page:691-697
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Wu Dejun¹,Kong Fangdi¹

Affiliation:

1. Department of Applied Mathematics Lanzhou University of Technology Lanzhou , 730050 Gansu China

Abstract

Abstract In this paper, we study the small restricted injective dimension over local ring homomorphisms. Some of known results are generalized. For example, the Bass formula for the small restricted injective dimension of complexes is extended.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0136/pdf

Reference11 articles.

1. Avramov, L. L.—Foxby, H-B.—Herzog, B.:Structure of local homomorphisms, J. Algebra 164 (1994), 124–145.10.1006/jabr.1994.1057

2. Avramov, L. L.—Iyengar, S.—Miller, C.: Homology over local homomorphisms, Amer. J. Math. 128 (2006), 23–90.10.1353/ajm.2006.0001

3. Bennis, D.—Mahdou, N.: First, second, and third change of rings theorems for Gorenstein homological dimensions, Comm. Algebra 38 (2010), 3837–3850.10.1080/00927870903286868

4. Christensen, L. W.—Foxby, H-B.—Frankild, A.: Restricted homological dimensions and Cohen-Macaulayness, J. Algebra 251 (2002), 479–502.10.1006/jabr.2001.9115

5. Foxby, H-B.: Hyperhomological algebra & commutative rings, in preparation.

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