陈清华.分次直投射模及应用[J].数学研究及应用,2001,21(4):615~618 |
分次直投射模及应用 |
Graded Direct Projective Modules and Applications |
投稿时间:1998-07-28 |
DOI:10.3770/j.issn:1000-341X.2001.04.027 |
中文关键词: 分次直投射模 分次左遗传环 分次左半遗传环 分次左PP-环 |
英文关键词:graded direct projective module graded(left) hereditary ring graded(left) semi-hereditary ring graded(left) semisimple ring graded(left) pp-ring |
基金项目:福建省教委科学基金资助项目(JA00152) |
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中文摘要: |
本文引进分次直投射模的概念,得到分次直投射模的一个判定定理,并利用分次直投射模刻划了分次左遗传环,分次左半遗传环,分次左半单环和分次左PP-环, |
英文摘要: |
In this paper, we introduces the concept of graded direct projective modules, ob-tains a critical theorem of graded direct projective modules and characterize graded(left) hereditary rings, graded(left) semihereditary rings, graded(left) semisimple rings and graded(left) pp-rings via graded direct projective modules, |
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