有MP逆的Abel范畴中态射方程αxα*=β的非负定解

数学物理学报 ›› 2004, Vol. 4 ›› Issue (5): 537-542.

有MP逆的Abel范畴中态射方程αxα*=β的非负定解

赵小妹, 孙志敏

华中师范大学数学与统计学学院;中国科学院数学与系统科学研究院|中国科学院研究生院

出版日期:2004-07-20 发布日期:2004-07-20

Nonnegativedefinite Solutions to the MorphismEquation αxα*=β in Abel Categories with MP Inverse

DIAO Xiao-Mei, SUN Zhi-Min

Online:2004-07-20 Published:2004-07-20

摘要/Abstract

摘要：

该文讨论了有MP逆的Abel范畴中态射方程αxα*=β的非负定解和正定解．作为其应用，给出了p除环上矩阵方程AXA*=B的相关结果

关键词: Abel范畴, MP逆, 非负定态射, 正定态射

Abstract:

In this paper the authors discuss nonnegativedefinite solutionsto the morphism equation αxα*=β in Abel categories
with MP inverse. As their application, the authors give some relevant results of the matrix equatiom AXA*=B　over pdivision ring.

Key words: Abel categories, MP inverse, Nonnegativedefinite morphism, Positivedefinite morphism

中图分类号:

18E10

赵小妹, 孙志敏. 有MP逆的Abel范畴中态射方程αxα*=β的非负定解[J]. 数学物理学报, 2004, 4(5): 537-542.

DIAO Xiao-Mei, SUN Zhi-Min. Nonnegativedefinite Solutions to the MorphismEquation αxα*=β in Abel Categories with MP Inverse[J]. Acta mathematica scientia,Series A, 2004, 4(5): 537-542.

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