Properties of P-coherent and Baer modules

被引：0
作者：
Lixin Mao
机构：
[1] Nanjing Institute of Technology,Institute of Mathematics
来源：
Periodica Mathematica Hungarica | 2010年 / 60卷
关键词：
-coherent module; module; Baer module; module; preenvelope; 16P70; 16D20; 16D40;
D O I：
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中图分类号：
学科分类号：
摘要：
M is called a P-coherent (resp. PP) module if its every principal submodule is finitely presented (resp. projective). M is said to be a Baer module if the annihilator of its every subset is a direct summand of R. In this paper, we investigate the properties of P-coherent, PP and Baer modules. Some known results are extended.
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页码：97 / 114
页数：17
相关论文
共 25 条
[1]  
Angeleri-Hügel L.(2003)Endocoherent modules Pacific J. Math. 212 1-11
[2]  
Björk J. E.(1970)Rings satisfying certain chain conditions J. Reine Angew. Math. 245 63-73
[3]  
Camillo V.(1990)Coherence for polynomial rings J. Algebra 132 72-76
[4]  
Camps R.(1993)On semilocal rings Israel J. Math. 81 203-211
[5]  
Dicks W.(1981)Injective and flat covers, envelopes and resolvents Israel J. Math. 39 189-209
[6]  
Enochs E. E.(1990)Embedding torsionless modules in projectives Publ. Mat. 34 379-387
[7]  
Faith C.(1989)Reduced Math. Japonica 34 715-725
[8]  
Fraser J. A.(1971)-rings Proc. Amer. Math. Soc. 28 431-435
[9]  
Nicholson W. K.(2005) rings and finitely generated flat ideals Acta Math. Univ. Comenian. 74 279-286
[10]  
Jøndrup J.(2008)On Taiwanese J. Math. 12 501-512
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