The dimension of tensor products of k-algebras arising from pullbacks

被引：12

作者：

Bouchiba, S

Girolami, F ^{[1
]}

Kabbaj, S

机构：

[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy

[2] Univ Meknes, Fac Sci, Dept Math, Meknes, Morocco

[3] Univ Fes, Fac Sci 1, Dept Math, Fes, Morocco

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1999年 / 137卷 / 02期

关键词：

D O I：

10.1016/S0022-4049(98)00030-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to compute the Krull dimension of tensor products of k-algebras arising from pullbacks. We also state a formula for the valuative dimension. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：125 / 138

页数：14

共 21 条

[1] Anderson D. F., 1988, EXPO MATH, V6, P145
[2] ON DIMENSION THEORY OF OVERRINGS OF AN INTEGRAL DOMAIN
ARNOLD, JT
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 138 (APR) : 313 - &
[3] DIMENSION SEQUENCE OF A COMMUTATIVE RING
ARNOLD, JT
GILMER, R
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1974, 96 (03) : 385 - 408
[4] BASTIDA E, 1973, MICH MATH J, V20, P79
[5] Bouchiba S, 1997, LECT NOTES PURE APPL, V185, P141
[6] EXAMPLES OF JAFFARD DOMAINS
BOUVIER, A
KABBAJ, S
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1988, 54 (2-3) : 155 - 165
[7] BREWER JW, 1976, MICH MATH J, V23, P33
[8] PAIRS OF RINGS SHARING AN IDEAL
CAHEN, PJ
[J]. ARCHIV DER MATHEMATIK, 1988, 51 (06) : 505 - 514
[9] B,I,D-CONSTRUCTION AND LOCAL OR RESIDUAL JAFFARD RINGS
CAHEN, PJ
[J]. ARCHIV DER MATHEMATIK, 1990, 54 (02) : 125 - 141
[10] Fontana M., 1980, Ann. Mat. Pura Appl. (4), V123, P331, DOI [DOI 10.1007/BF01796550, 10.1007/BF01796550]

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