JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (2): 22-31.doi: 10.6040/j.issn.1671-9352.0.2022.470
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Liu ZHOU(),Lei QIAO*(),Dan ZHAO
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1 |
LU Bo , LIU Zhongkui . IFP-flat modules and IFP-injective modules[J]. Communications in Algebra, 2012, 40 (2): 361- 374.
doi: 10.1080/00927872.2011.559182 |
2 |
LU Bo , LIU Zhongkui . IFP-flat dimensions and IFP-injective dimensions[J]. Acta Mathematica Scientia, 2012, 32 (6): 2085- 2095.
doi: 10.1016/S0252-9602(12)60161-1 |
3 |
LU Bo , LIU Zhongkui . IFP-injective, IFP-flat modules and localizations[J]. Indian Journal of Pure and Applied Mathematics, 2014, 45 (6): 837- 849.
doi: 10.1007/s13226-014-0092-5 |
4 |
YIN Huayu , WANG Fanggui , ZHU Xiaosheng , et al. w-modules over commutative rings[J]. Journal of the Korean Mathematical Society, 2011, 48 (1): 207- 222.
doi: 10.4134/JKMS.2011.48.1.207 |
5 | WANG Fanggui . Finitely presented type modules and w-coherent rings[J]. Journal of Sichuan Normal University(Natural Science), 2010, 33 (1): 1- 9. |
6 |
XING Shiqi , WANG Fanggui . Purity over Prüfer v-multiplication domains[J]. Journal of Algebra and Its Applications, 2018, 17 (6): 1850100.
doi: 10.1142/S0219498818501001 |
7 |
WANG F G , KIM H K . Two generalizations of projective modules and their applications[J]. Journal of Pure and Applied Algebra, 2015, 219 (6): 2099- 2123.
doi: 10.1016/j.jpaa.2014.07.025 |
8 |
WANG F G , KIM H K . w-injective modules and w-semi-hereditary rings[J]. Journal of the Korean Mathematical Society, 2014, 51 (3): 509- 525.
doi: 10.4134/JKMS.2014.51.3.509 |
9 | 宋菲菲, 乔磊, 夏伟恒. 交换环上的w-弱平坦模与w-弱内射模[J]. 西北师范大学学报(自然学科版), 2022, 58 (5): 17- 24. |
SONG Feifei , QIAO Lei , XIA Weiheng . w-weak flat and w-weak injective modules over commutative rings[J]. Journal of Northwest Normal University(Natural Science), 2022, 58 (5): 17- 24. | |
10 | WANG F G , KIM H K . Foundations of commutative rings and their modules[M]. Singapore: Springer, 2016. |
11 |
WANG Fanggui , QIAO Lei . A new version of a theorem of Kaplansky[J]. Communications in Algebra, 2020, 48 (8): 3415- 3428.
doi: 10.1080/00927872.2020.1739289 |
12 | WANG Fanggui . On w-projective modules and w-flat modules[J]. Algebra Colloquium, 1997, 4 (1): 111- 120. |
13 |
KIM H K , WANG F G . On LCM-stable modules[J]. Journal of Algebra and Its Applications, 2014, 13 (4): 1350133.
doi: 10.1142/S0219498813501338 |
14 |
XING Shiqi , WANG Fanggui . Purity over Prüfer v-multiplication domains: Ⅱ[J]. Journal of Algebra and Its Applications, 2018, 17 (12): 1850223.
doi: 10.1142/S0219498818502237 |
15 | 吴小英. w-模化理论中环的linked性与模的分裂性[D]. 成都: 四川师范大学, 2022. |
WU Xiaoying. The linked property of rings and the split property of modules in w-modularization theory[D]. Chengdu: Sichuan Normal University, 2022. | |
16 |
WANG F G , KIM H K . Relative FP-injective modules and relative IF rings[J]. Communications in Algebra, 2021, 49 (8): 3552- 3582.
doi: 10.1080/00927872.2021.1900861 |
17 |
XUE W . On n-presented modules and almost excellent extensions[J]. Communications in Algebra, 1999, 27 (3): 1091- 1102.
doi: 10.1080/00927879908826483 |
18 |
CHEN Jianlong , DING Nanqing . On n-coherent rings[J]. Communications in Algebra, 1996, 24 (10): 3211- 3216.
doi: 10.1080/00927879608825742 |
19 | ASSAAD R A K , BOUBA M E , TAMEKKANTE M . w-FP-projective modules and dimension[M]. Singapore: Springer, 2022: 47- 57. |
20 | 王芳贵, 张俊. w-Noether环上的内射模[J]. 数学学报, 2010, 53 (6): 1119- 1130. |
WANG Fanggui , ZHANG Jun . Injective modules over w-Noether rings[J]. Acta Mathematica Sinica, Chinese Series, 2010, 53 (6): 1119- 1130. | |
21 |
ZHANG Xiaolei , WANG Fanggui , QI Wei . On characterizations of w-coherent rings[J]. Communications in Algebra, 2020, 48 (11): 4681- 4697.
doi: 10.1080/00927872.2020.1769121 |
22 | ALMAHDI F A A , ASSAAD R A K . A note on w-split modules[J]. Palestine Journal of Mathematics, 2021, 10 (1): 160- 168. |
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