太阳成集团(tyc122cc-VIP)官网-Sun Group

教授，2009年获西北师范大学理学博士学位，南京大学数学博士后，美国犹他大学数学系访问学习1年。研究方向为环的同调理论，已在《J. Algebra》、《Forum Math.》、《Homology, Homotopy Appl.》、《J. Aust. Math. Soc.》等国际知名刊物上发表SCI学术论文50余篇。入选教育部“新世纪优秀人才支持计划”；入选甘肃省“飞天学者特聘计划” 青年学者项目；获批陇原青年创新创业人才个人项目；主持完成国家自然科学基金项目3项。主持完成中国博士后科学基金项目1项；作为牵头人, 荣获甘肃省高校科技进步一等奖1次, 二等奖2次; 作为第2和第4完成人, 荣获甘肃省自然科学三等奖2次；负责建设的《高等代数》获批甘肃省线上线下混合式一流课程。

一、代表性科研论文

[1] Yang Xiaoyan and Liu Zhongkui, Strongly Gorenstein projective, injective and flat  modules, J. Algebra 320 (2008) 2659–2674.

[2] Yang Xiaoyan and Liu Zhongkui, Gorenstein projective, injective and flat modules, J. Aust. Math. Soc. 87 (2009) 395-407.

[3] Yang Xiaoyan and Liu Zhongkui, FP-injective  complexes, Comm. Algebra 38 (2010) 131-142.

[4] Yang Xiaoyan and Liu Zhongkui, Gorenstein projective, injective and flat complexes, Comm. Algebra 39 (2011) 1705-1721.

[5] Yang Xiaoyan and Liu Zhongkui, D-Gorenstein projective, injective and flat modules, Algebra Colloq. 18 (2011) 273-288.

[6] Yang Xiaoyan and Zhao Jianlian, Gorenstein flat and cotorsion dimensions of unbounded complexes, Comm. Algebra 41 (2013) 2978-2990.

[7] Yang Xiaoyan, Notes on proper class of triangles, Acta Mathematica Sinica, English Series  29 (2013) 2137-2154.

[8] Yang Xiaoyan and Liu ZHongkui, DG-projective, injective and flat complexes, Algebra Colloq. 20 (2013) 155-162.

[9] Yang Xiaoyan and Ding Nanqing, On a question of Gillespie, Forum Math. 27 (2015) 3205–3231.

[10] Yang Xiaoyan and Ding Nanqing, The homotopy category and derived category of N-complexes, J. Algebra 426 (2015) 430–476.

[11] Yang Xiaoyan, Model structures on triangulated categories, Glasgow Math. J. 57 (2015) 263–284.

[12] Yang Xiaoyan and Wang Junpeng, The existence of homotopy resolutions of N-complexes, Homology, Homotopy Appl. 17 (2015) 291–316.

[13] Yang Xiaoyan, Chen Wenjing, Relative homological dimensions and Tate cohomology of complexes with respect to cotorsion pairs, Comm. Algebra 45 (2017) 2875–2888.

[14] Yang Xiaoyan, Cao Tianya, Cotorsion Pairs in CN(A ), Algebra Colloq. 24 (2017) 577-602.

[15] Yang Xiaoyan, Rao Yanping, Depth and amplitude for DG-modules, Comm. Algebra 48 (2020) 2051–2064.

[16] Yang Xiaoyan,Wang Li, Homological invariants over non-positive DG-rings, J. Algebra Appl. 19 (10) (2020) 1850180 (18 pages).

[17] Yang Xiaoyan,Shen Jingwen, Dimension and level of triangulated categories,J. Algebra Appl. 20 (7) (2021) 2150122(14 pages).

[18] Yang Xiaoyan,Zhang pinger, Filter depth of complexes, Comm. Algebra. 50 (2022) 1389-1399.

[19] Yang Xiaoyan, Cosupport for compactly generated triangulated categories, J.Aust.Math.Soc. doi:10.1017/S1446788722000222

[20] Yang Xiaoyan, Li Yanjie, Local Cohen-Macaulay DG-modules, Applied Categorical Structures, (2023) 31:8.

[21] Liu Zhongkui  and Yang Xiaoyan, On annihilator ideals of skew monoid rings, Glasgow Math. J. 52 (2010) 161-168.

[22] Liu Yanping, Liu Zhongkui and Yang Xiaoyan, Vanishing of Tate homology — an application of stable homology for complexes, Acta Mathematica Sinica, English Series  32 (2016) 831–844.

[23] Chen Wenjing, Liu Zhongkui and Yang Xiaoyan, Singularity Categories with Respect to Ding Projective Modules, Acta Mathematica Sinica, English Series, 33 (2017) 793–806.

[24] Zhenxing Di, Zhongkui Liu, Xiaoyan Yang, Xiaoxiang Zhang, Triangulated equivalence between a homotopy category and a triangulated quotient category, J. Algebra 506(2018)297-321.

[25] Chen Wenjing, Liu Zhongkui and Yang Xiaoyan, Compactly generated triangulated subcategories of homotopy categories induced by cotorsion pairs, J. Algebra Appl. 17 (10) (2018) 1850180 (14 pages).

[26]  Chen Wenjing, Liu Zhongkui and Yang Xiaoyan, Recollements associated to cotorsion pairs, J. Algebra Appl. 17 (1) (2018) 11850141 (15 pages).

[27] Zhang Wanru, Liu Zhongkui and Yang Xiaoyan, Foxby equivalences associated to Gorenstein categories G(X,Y,Z), Comm. Algebra 46 (2018) 4042–4051.

[28] Chen Wenjing, Liu Zhongkui and Yang Xiaoyan, A new method to construct model structures from a cotorsion pair, Comm. Algebra 47(2019) 4420-4431.

[29] Xie Zongyang, Liu Zhongkui and Yang Xiaoyan, Relative Oppermann-Thomas Cluster Tilting Objects in (n+2)-Angulated Categories, Applied Categorical Structures, 2022, https://doi.org/10.1007/s10485-022-09673-1.

[30] Xie Zongyang, Liu Zhongkui and Yang Xiaoyan, The existence of n-Auslander-Reiten sequences via determined morphisms, J. Algebra Appl. 22(1) (2023) 2350031 (35 pages).

[31] Shen Jingwen,Zhang pinger and Yang Xiaoyan, Coartinianness of local homology modules for ideals of small dimension, 2023, 2350212 (15 pages)

[32] Rao Yanping,Liu Zhongkui and Yang Xiaoyan, Chen Wenjing, Depth and Width for Unbounded DG-Modules, Algebra Colloq. 30(1) (2023) 61-72.

[33] Shen Jingwen, Yang Xiaoyan, The a-filter graded of an ideal b and (a,b)-f- modules, Front. Math. China 18(2) (2023) 503-512.

二、主持完成的科研项目

[1] 2013年新世纪优秀人才支持计划, 教育部，批准号：NCET-13-0957, 2014.01—2016.12。

[2]甘肃省“飞天学者特聘计划” 青年学者项目，2019.02.20—2022.02.20。

[3] 杨晓燕，乔虎生，吴德军，Hopf代数上的Gorenstein同调性质，青年科学基金项目，批准号：11001222，2011.01—2013.12。

[4] 杨晓燕,刘仲奎,赵仁育,张翠萍,同伦范畴的recollement、余(t)-结构和同调维数理论, 国家自然科学基金项目，批准号：10361051, 2014.01—2017.12。

[5] 杨晓燕,张翠萍,武斌, 微分分次范畴的同调维数、recollements和Morita理论, 国家自然科学基金项目，批准号：11761060, 2018.01—2021.12。

[6] 杨晓燕, Grothendieck范畴中复形的同调维数，中国博士后科学基金资助项目，批准号: 2012M511713, 2011.9—2013.7。

[7] 杨晓燕,“三角范畴的支撑和余支撑”入选陇原青年创新创业人才个人项目，2020.03—2021.02。