-Gorenstein projective, injective and flat modules
Czechoslovak Mathematical Journal (2010)
- Volume: 60, Issue: 4, page 1109-1129
- ISSN: 0011-4642
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topYang, Xiao Yan, and Liu, Zhong Kui. "$C$-Gorenstein projective, injective and flat modules." Czechoslovak Mathematical Journal 60.4 (2010): 1109-1129. <http://eudml.org/doc/196860>.
@article{Yang2010,
abstract = {By analogy with the projective, injective and flat modules, in this paper we study some properties of $C$-Gorenstein projective, injective and flat modules and discuss some connections between $C$-Gorenstein injective and $C$-Gorenstein flat modules. We also investigate some connections between $C$-Gorenstein projective, injective and flat modules of change of rings.},
author = {Yang, Xiao Yan, Liu, Zhong Kui},
journal = {Czechoslovak Mathematical Journal},
keywords = {$C$-Gorenstein projective module; $C$-Gorenstein injective module; $C$-Gorenstein flat module; -Gorenstein projective module; -Gorenstein injective module; -Gorenstein flat module},
language = {eng},
number = {4},
pages = {1109-1129},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$C$-Gorenstein projective, injective and flat modules},
url = {http://eudml.org/doc/196860},
volume = {60},
year = {2010},
}
TY - JOUR
AU - Yang, Xiao Yan
AU - Liu, Zhong Kui
TI - $C$-Gorenstein projective, injective and flat modules
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 4
SP - 1109
EP - 1129
AB - By analogy with the projective, injective and flat modules, in this paper we study some properties of $C$-Gorenstein projective, injective and flat modules and discuss some connections between $C$-Gorenstein injective and $C$-Gorenstein flat modules. We also investigate some connections between $C$-Gorenstein projective, injective and flat modules of change of rings.
LA - eng
KW - $C$-Gorenstein projective module; $C$-Gorenstein injective module; $C$-Gorenstein flat module; -Gorenstein projective module; -Gorenstein injective module; -Gorenstein flat module
UR - http://eudml.org/doc/196860
ER -
References
top- Christensen, L. W., Frankild, A., Holm, H., 10.1016/j.jalgebra.2005.12.007, J. Algebra 302 (2006), 231-279. (2006) Zbl1104.13008MR2236602DOI10.1016/j.jalgebra.2005.12.007
- Enochs, E. E., Jenda, O. M. G., Relative Homological Algebra, de Gruyter Exp. Math. Walter de Gruyter and Co., Berlin, (2000). (2000) MR1753146
- Enochs, E. E., Iacos, A., Jenda, O. M. G., 10.1215/ijm/1258138429, Illinois J. Math. 51 (2007), 561-569. (2007) MR2342674DOI10.1215/ijm/1258138429
- Holm, H., 10.1016/j.jpaa.2003.11.007, J. Pure Appl. Algebra 189 (2004), 167-193. (2004) Zbl1050.16003MR2038564DOI10.1016/j.jpaa.2003.11.007
- Holm, H., Jørgensen, P., Cohen-Macaulay homological dimensions, Rend. Semin. Mat. Univ. Padova 117 (2007), 87-112. (2007) MR2351787
- Holm, H., Jørgensen, P., 10.1016/j.jpaa.2005.07.010, J. Pure Appl. Algebra 205 (2006), 423-445. (2006) MR2203625DOI10.1016/j.jpaa.2005.07.010
- Holm, H., White, D., 10.1215/kjm/1250692289, J. Math. Kyoto Univ. 47 (2007), 781-808. (2007) Zbl1154.16007MR2413065DOI10.1215/kjm/1250692289
- Kasch, F., Modules and Rings, London Math. Soc. Monogr. Academic press, London (1981). (1981) Zbl0527.16001MR0667346
- Lam, T. Y., Lecture on Modules and Rings, Springer Verlag, New York (1999). (1999) MR1653294
- Yang, X., Liu, Z., 10.1017/S1446788709000093, J. Aust. Math. Soc 87 (2009), 395-407. (2009) MR2576573DOI10.1017/S1446788709000093
- Osborne, M. S., Basic Homological Algebra, Graduate Texts in Mathematics, Springer, New York, Berlin (2000). (2000) Zbl0948.18001MR1757274
- Park, S., Pusan, E. C., 10.1007/s10587-004-6409-5, Czech. Math. J. 54 (2004), 573-578. (2004) MR2086717DOI10.1007/s10587-004-6409-5
- Rotman, J. J., An Introductions to Homological Algebra, Academic Press, New York (1979). (1979) MR0538169
- Sazeedeh, R., 10.1016/j.jpaa.2004.01.010, J. Pure Appl. Algebra 192 (2004), 265-274. (2004) Zbl1087.13004MR2067199DOI10.1016/j.jpaa.2004.01.010
- Trlifaj, J., 10.1215/ijm/1258488170, Illinois J. Math. 47 (2003), 529-538. (2003) Zbl1035.16006MR2031338DOI10.1215/ijm/1258488170
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