亚投射模、张量积和极限

数学季刊 ›› 1997, Vol. 12 ›› Issue (1): 61-64.

亚投射模、张量积和极限

Department of Mathematics,Nanjing University,Nanjing,210093

收稿日期:1995-11-08 出版日期:1997-03-30 发布日期:2024-12-12

Meta-projective Modules, Tensor Products and Limits

Department of Mathematics,Nanjing University,Nanjing,210093

Received:1995-11-08 Online:1997-03-30 Published:2024-12-12

摘要/Abstract

摘要： In this paper twe prove that the inverse limit of metra-projective modules (meta-injective modules resp. ) is also meta-projective (meta-injective resp. ). Let K be a field R_1, R₂ be K-algebras, we also obtain a sufficient condition for lgldim (R₁ R₂,)≥lgldim R₁+lgldimR₂, and wgldim (R₁ ) ≥wgldimR₁ +wgldimR₂ .

关键词: inverse limit, tensor product, meta-projective modules, meta-injective modules

Abstract: In this paper twe prove that the inverse limit of metra-projective modules (meta-injective modules resp. ) is also meta-projective (meta-injective resp. ). Let K be a field R_1, R₂ be K-algebras, we also obtain a sufficient condition for lgldim (R₁ R₂,)≥lgldim R₁+lgldimR₂, and wgldim (R₁ ) ≥wgldimR₁ +wgldimR₂ .

Key words: inverse limit, tensor product, meta-projective modules, meta-injective modules

中图分类号:

O153

冯良贵. 亚投射模、张量积和极限[J]. 数学季刊, 1997, 12(1): 61-64.

Feng Lianggui. Meta-projective Modules, Tensor Products and Limits[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(1): 61-64.

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