Gorenstein-Projective Modules over T_(m,n)(A)
被引量：1
Gorenstein-Projective Modules over T_(m,n)(A)
摘要
A new class of Gorenstein algebras Tm,n(A) is introduced,their module categories are described,and all the Gorenstein-projective Tm,n(A)-modules are explicitly determined.
基金
Project supported by the National Natural Science Foundation of China (No. 10725104)
the Science and Technology Commission of Shanghai Municipality (No. 09XD1402500)
参考文献11
-
1Auslander, M. and Bridger, M., Stable Module Theory, Mem. Amer. Math. Soc., Vol. 94, A. M. S., Providence, RI, 1969.
-
2Auslander, M., Reiten, I. and SmalФ, S. O., Representation Theory of Artin Algebras, Cambridge Studies in Adv. Math., Vol. 36, Cambridge Univ. Press, Cambridge, 1995.
-
3Avramov, L. L. and Martsinkovsky, A. Absolute, relative, and tate cohomology of modules of finite goren- stein dimension, Proc. London Math. Soc., 85(3), 2002, 393-440.
-
4Buchweitz, R.-O., Greuel, G.-M. and Schreyer, F.-O., Cohen-Macaulay modules on hypersurface singular- ities Ⅱ, Invent. Math., 88(1), 1987, 165-182.
-
5Enochs, E. E. and Jenda, O. M. G., Relative Homological Algebra, De Gruyter Exp. Math., Vol. 30, Walter de Gruyter Co., Berlin, 2000.
-
6Gao, N. and Zhang, P., Gorenstein derived categories, J. Algebra, 323, 2010, 2041-2057.
-
7Happel, D., On Gorenstein algebras, Representation Theory of Finite Groups and Finite-dimensional Algebras, Prog. Math., Vol. 95, Birkhiiser, Basel, 1991, 389-404.
-
8Holm, H., Gorenstein homological dimensions, J. Pure Appl. Algebra, 189(1-3), 2004, 167-193.
-
9Li, Z. W. and Zhang, P., Gorenstein algebras of finite Cohen-Macaulay type, Adv. Math., 223, 2010, 728-734.
-
10Li, Z. W. and Zhang, P., A construction of Gorenstein-projective modules, J. Algebra, 323, 2010, 1802- 1812.
-
1罗秀花.R_m^A上的Gorenstein投射模[J].西南师范大学学报（自然科学版）,2013,38(12):13-18.
-
2章璞.Gorenstein投射模(英文)[J].山东大学学报（理学版）,2009,44(2):1-13. 被引量：1
-
3任兰兰,杨晓燕.三角范畴中的强n-Gorenstein-投射对象[J].山东大学学报（理学版）,2014,49(4):58-65. 被引量：1
-
4黄兆泳.Gorenstein代数上的逼近扩张[J].数学学报（中文版）,2002,45(1):127-138.
-
5冯良贵.Meta-projective Modules, Tensor Products and Limits[J].Chinese Quarterly Journal of Mathematics,1997,12(1):61-64. 被引量：2
-
6杨存洁.Gorenstein代数上的Hopf代数作用[J].数学进展,2003,32(1):20-26.
-
7沈炳良,刘玲.交叉积的有限表现维数[J].浙江师范大学学报（自然科学版）,2013,36(4):392-395. 被引量：1
-
8Xiaolan YU,Jiwei HE.Indecomposable Calabi-Yau Objects in Stable Module Categories of Finite Type[J].Chinese Annals of Mathematics,Series B,2011,32(5):793-802. 被引量：1
-
9黄兆泳.拟k-Gorenstein代数上的W^t逼近表示[J].中国科学（A辑）,1999,29(7):582-592. 被引量：3
-
10王晓荣,陈建龙.On Relatively Semi-projective and Direct-projective Modules[J].Northeastern Mathematical Journal,2008,24(5):409-422.
