| 摘要: |
| 本文研究了Artin代数A与其子代数模范畴中反变有限子范畴之间的关系.利用范畴同构,获得了代数A上投射维数有限的子模范畴P∞(A)在有限生成的左A模范畴A-mod上反变有限的一个条件,推广了关于子范畴P∞(A)反变有限性的结果. |
| 关键词: 范畴同构 反变有限子范畴 有限投射维数 |
| DOI： |
| 分类号:O153.3 |
| 基金项目: |
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| A PAIR OF ISOMORPHIC MODULE CATEGORIES ON TWO RELATED ALGEBRAS |
|
WAN Bing-rong
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College of Science, Nanchang Institute of Technology, Nanchang 330099, China
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| Abstract: |
| This paper studies the relationship between contravariantly finite module categories of the Artin algebra A and its subalgebra. Using the isomorphism of categories, we flnd an condition under which P∞(A) the subcategory consisting of all finitely generated left A-modules with finite projective dimensions is contravariantly finite in A-mod the category of all finitely generated left A-modules, and extend the conclusion on the contravariant flniteness of P∞(A). |
| Key words: category isomorphism contravariantly finite subcategory finite projective dimension |
