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,
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,
基金
福建省教委科学基金资助项目(JA00152)
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
分次左半单环
graded direct projective module
graded(left) hereditary ring
graded(left) semi-hereditary ring
graded(left) semisimple ring
graded(left) pp-ring,
