范畴MΔ中的正合列

Exact Sequenes in Categories MΔ

中文关键词:  范畴  Abel范畴  矩阵  正合列

英文关键词:category  Abelian category  matrix  exact sequence.

中文摘要:

      本文研究域上矩阵给出的范畴，给出了正合性的等价刻画，提出了将正合列理论应用于矩阵论的途径．

英文摘要:

      This paper considers the category m_Δ which consits of the finite matrices over a field Δ.We give an equivalence condition of exactness and point out a way which applies the theory of exact sequences to matrices.