南昌大学学报(理科版)
南昌大學學報(理科版)
남창대학학보(이과판)
JOURNAL OF NANCHANG UNIVERSITY(NATURAL SCIENCE)
2009年
6期
536-538
,共3页
左遗传环%左亚遗传环%FG-内射模%SI-环%半单环
左遺傳環%左亞遺傳環%FG-內射模%SI-環%半單環
좌유전배%좌아유전배%FG-내사모%SI-배%반단배
left hereditary ring%left subhereditary ring%FG-injective module%SI-ring%semisimple ring
给出了左遗传环、左亚遗传环的几个等价条件,讨论了左亚遗传环的直和,还讨论了左亚遗传环与SI-环、半单环的关系.
給齣瞭左遺傳環、左亞遺傳環的幾箇等價條件,討論瞭左亞遺傳環的直和,還討論瞭左亞遺傳環與SI-環、半單環的關繫.
급출료좌유전배、좌아유전배적궤개등개조건,토론료좌아유전배적직화,환토론료좌아유전배여SI-배、반단배적관계.
Some equivalent conditions of left hereditary rings and left subhereditary rings are given,and the direct sum of left subhereditary rings is discussed.Also,the relation between left subhereditary rings and SI-rings,the relation between left subhereditary rings and semisimple rings,are discussed.