| D4-δ-盖及其应用 |
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| 引用本文： | 王永铎,王亚婷.D4-δ-盖及其应用[J].兰州理工大学学报,2020,46(4):154. |
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| 作者姓名： | 王永铎 王亚婷 |
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| 作者单位： | 兰州理工大学 理学院, 甘肃 兰州 730050 |
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| 基金项目： | 国家自然科学基金(11861043) |
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| 摘 要： | 引入了D4-δ-盖的概念,即称(F,g)为模M的D4-δ-盖,若F是D4-模,g是F到M的满同态,且Ker(g)《δF.研究了D4-δ-盖的性质以及它与投射δ-盖之间的联系,并用D4-δ-盖刻画了δ-完备环(半完备环,半正则环).
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| 关 键 词： | D4-δ-盖 δ-完备环 δ-半完备环 δ-半正则环 |
| 收稿时间： | 2018-07-12 |
D4-δ-covers and their applications |
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| WANG Yong-duo,WANG Ya-ting.D4-δ-covers and their applications[J].Journal of Lanzhou University of Technology,2020,46(4):154. |
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| Authors: | WANG Yong-duo WANG Ya-ting |
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| Institution: | School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China |
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| Abstract: | The concept of D4-δ-covers is introduced. A pair (F,g) is called a D4-δ-cover of a module M if F is a D4-δ-module, g an epimorphism of F onto M, and Ker(g)《δF. The properties of D4-δ-cover and their relations to projective δ-cover are studied and δ-perfect rings (semiperfect rings, semiregular rings) are characterized by using D4-δ-covers. |
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| Keywords: | D4-δ-cover δ-perfect ring δ-semiperfect ring δ-semiregular ring |
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