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《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (12): 1-6.doi: 10.6040/j.issn.1671-9352.0.2021.143

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Rees弱投射系的平坦性与幺半群的同调分类

乔虎生,马娉婷*   

  1. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 发布日期:2021-11-25
  • 作者简介:乔虎生(1974— ),男,博士,教授, 研究方向为半群代数理论. E-mail:gsqiaohsh@163.com*通信作者简介:马娉婷(1995— ), 女, 硕士研究生, 研究方向为半群代数理论. E-mail:1273983397@qq.com
  • 基金资助:
    国家自然科学基金资助项目(11961058)

Flatness properties of Rees weakly projective acts and homological classification of monoids

QIAO Hu-sheng, MA Ping-ting*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2021-11-25

摘要: 研究了Rees弱投射系的性质及Rees弱投射系对幺半群的同调分类, 讨论了Rees弱投射系关于直积和余直积封闭的条件。

关键词: Rees弱投射, Rees 商系, 余直积, 直积

Abstract: Rees weakly projective property of acts and the homological classification of monoids by Rees weakly projective acts are investigated. The conditions over which Rees weakly projective property are preserved under coproducts and products.

Key words: Rees weakly projective, Rees factor act, coproduct, product

中图分类号: 

  • O152.7
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