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弱Gorenstein FP-内射模

Keywords: 弱GorensteinFP-内射模,FP-内射模,凝聚环

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Abstract:

研究了弱GorensteinFP-内射模,证明了凝聚环上弱GorensteinFP-内射模是强GorensteinFP-内射模的直和项,利用弱GorensteinFP-内射模对FP-自内射环进行了刻画,讨论了凝聚环上FP-内射模类、GorensteinFP-内射模类和弱GorensteinFP-内射模类三者之间的联系.

References

[1]  Anderson F W, Fuller K R. Rings and Categories of Modules[M]. New York:Springer-Verlag,1992.
[2]  Rotman J J. An Introduction to Homological Algebra[M]. London:Academic Press,1979.
[3]  Enochs E E, Jenda O M G, Torrecillas B. Gorenstein平坦模[J]. 南京大学学报数学半年刊,1993,10(1):1-9.
[4]  Enochs E E, Jenda O M G. Gorenstein injective and projective modules[J]. Math Zeit,1995,220(1):611-633.
[5]  Mao L X, Ding N Q. Gorenstein FP-injective and Gorenstein flat modules[J]. J Algebra Appl,2008,7:491-506.
[6]  Bennis D. Rings over which the class of Gorenstein flat modules is closed under extensions[J]. Commun Algebra,2009,37:855-868.
[7]  Yang X Y, Liu Z K. Gorenstein projective, injective and flat modules[J]. J Aust Math Soc,2009,87:395-407.
[8]  Bennis D, Mahdou N. Global Gorenstein dimension[J]. Proc Am Math Soc,2010,138:461-465.
[9]  Yang X Y, Liu Z K. Strongly Gorenstein projective, injective and flat modules[J]. J Algebra,2008,320(7):2659-2674.
[10]  Bennis D, Mahdou N. Strongly Gorenstein projective, injective and flat modules[J]. J Pure Appl Algebra,2007,7:491-506.
[11]  Gao Z H, Wang F G. Coherent rings and Gorenstein FP-injective modules[J]. Commun Algebra,2012,40:1669-1679.
[12]  Gao Z H. Weak Gorenstein projective, injective and flat modules[J]. J Algebra Appl,2013,12(2):3841-3858.
[13]  Gao Z H. On strongly Gorenstein FP-injective modules[J]. Commun Algebra,2013,41:3035-3044.
[14]  Stenstrm B. Coherent rings and FP-injective modules[J]. J London Math Soc,1970,2:323-329.
[15]  Maddox B H. Absolutely pure modules[J]. Proc Am Math Soc,1967,18:155-158.
[16]  Jain S. Flat and FP-injectivity[J]. Proc Am Math Soc,1973,41:437-442.
[17]  Ding N Q, Chen J L. Coherent rings with finite self-FP-injective dimenson[J]. Commun Algebra,1996,24:2963-2980.
[18]  Enochs E E, Jenda O M G. Copure injective resolutions, flat resolvents and dimension[J]. Comment Math Univ Carolin,1993,34:203-211.

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