Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (3): 335-347.
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CHEN Huan-Gen, QIN Hou-Rong
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国家自然科学基金与教育部高等学校骨干教师基金资助项目
Abstract:
该文得到了Ｅｘｃｈａｎｇｅ性质的内直和刻画，给出了局部环的一个Ｅｘｃｈａｎｇｅ新特征，进一步地研究了Ｅｘｃｈａｎｇｅ环上相关比较结构．
Key words: Ｅｘｃｈａｎｇｅ性质, 局部环, 相关比较性
CLC Number:
CHEN Huan-Gen, QIN Hou-Rong. Exchange Rings and Comparable Conditions[J].Acta mathematica scientia,Series A, 2001, 21(3): 335-347.
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１ ＡｎｄｅｒｓｏｎＪｒＷ Ｎ，ＴｒａｐｐＧＥ．ＳｈｏｒｔｏｐｅｒａｔｏｒｓⅡ．ＪＡｐｐｌＭａｔｈ，１９７５，２８：６０－７１ ２ 石峰．Ｂａｎａｃｈ空间的某类分解．数学物理学报，１９９８，１８：３１８－３２３ ３ ＡｒａＰｅｔａｌ．Ｓｅｐａｒａｔｉｖｅｃａｎｃｅｌｌａｔｉｏｎｆｏｒｐｒｏｊｅｃｔｉｖｅｍｏｄｕｌｅｓｏｖｅｒｅｘｃｈａｎｇｅｒｉｎｇｓ．ＩｓｒａｅｌＪＭａｔｈ，１９９８，１０５：１０５－１３７ ４ ＰａｒｄｏＥ．Ｃｏｎｐａｒａｂｉｌｉｔｙ，ｓｅｐａｒａｔｉｖｉｔｙ，ａｎｄｅｘｃｈａｎｇｅｒｉｎｇｓ．Ｃｏｍｍ Ａｌｇｅｂｒａ，１９９６，２４：２９１５－２９２６ ５ ＰａｒｄｏＥ．ＭｅｔｒｉｃｃｏｍｐｌｅｔｉｏｎｓｏｆｏｒｄｅｒｅｄｇｒｏｕｐｓａｎｄＫｏｏｆｅｘｃｈａｎｇｅｒｉｎｇｓ．ＴｒａｎｓＡｍｅｒＭａｔｈＳｏｃ，１９９８，３５０：９１３－９３３ ６ ＹｕＨ Ｐ．Ｏｎｔｈｅｓｔｒｕｃｔｕｒｅｏｆｅｘｃｈａｎｇｅｒｉｎｇｓ．Ｃｏｍｍ Ａｌｇｅｂｒａ，１９９７，２５：６６１－６７０ ７ ＣｈｅｎＨｕａｎｙｉｎ．Ｅｘｃｈａｎｇｅｒｉｎｇｓ，ｒｅｌａｔｅｄｃｏｍｐａｒａｂｉｌｉｔｙａｎｄｐｏｗｅｒｓｕｂｓｔｉｔｕｔｉｏｎ．Ｃｏｍｍ Ａｌｇｅｂｒａ，１９９８，２６：３３８３－３４０１ ８ ＣｈｅｎＨｕａｎｙｉｎ．Ｒｅｌａｔｅｄｃｏｍｐａｒｂｉｌｉｔｙｏｖｅｒｅｘｃｈａｎｇｅｒｉｎｇｓ．Ｃｏｍｍ Ａｌｇｅｂｒａ，１９９９，２７：４２０９－４２１６ ９ 陈焕艮．环模上的比较结构．数学学报，１９９９，４２：１０６５－１０７０ １０ Ｏ＇ＭｅａｒａＫ Ｃ．Ｓｅｐａｒａｔｉｖｅｃａｎｃｅｌｌａｔｉｏｎａｎｄｍｕｌｔｉｐｌｅｉｓｏｍｏｒｐｈｉｓｍｉｎｔｏｒｓｉｏｎｆｒｅｅａｂｅｌｉａｎｇｒｏｕｐ．ＪＡｌｇｅｂｒａ，１９９９，２２１：５３６－５５０ １１ ＡｒａＰ．Ｓｔａｂｉｌｉｔｙｐｒｏｐｅｔｉｅｓｏｆｅｘｃｈａｎｇｅｒｉｎｇｓ．预印本，１９９９ １２ ＣｈｅｎＨｕａｎｙｉｎ．Ｏｎｒｅｌａｔｅｄｕｎｉｔｒｅｇｕｌａｒｅｌｅｍｅｎｔｓ．ＡｌｇｅｂｒａＣｏｌｌｏｑ，１９９７，４：３２３－３２８ １３ ＣｈｅｎＨｕａｎｙｉｎ．Ｒｉｎｇｓｗｉｔｈｓｔａｂｌｅｒａｎｇｅｃｏｎｄｉｔｉｏｎｓ．Ｃｏｍｍ Ａｌｇｅｂｒａ，１９９８，２６：３６５３－３６６８ １４ ＣｈｅｎＨｕａｎｙｉｎ．Ｃｏｍｐａｒａｂｉｌｉｔｙｏｆｍｏｄｕｌｅｓｏｖｅｒｒｅｇｕｌａｒｒｉｎｇｓ．Ｃｏｍｍ Ａｌｇｅｂｒａ，１９９７，２５：３５３１－３５４３ １５ ＣｈｅｎＨｕａｎｙｉｎ．Ｒｅｌａｔｅｄｃｏｍｐａｒａｂｉｌｉｔｙｏｖｅｒｒｅｇｕｌａｒｒｉｎｇｓ．ＡｌｇｅｂｒａＣｏｌｌｏｑ，１９９６，３：２７７－２８２
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