學(xué)術(shù)成就
2002年開始發(fā)表論文,迄今已在國家級(jí)期刊以及SCI收錄期刊發(fā)表論文20余篇, 所研究的問題大多與國際同行所提的公開問題有關(guān),回答了半群的S-系領(lǐng)域國際同行提出的五個(gè)公開問題。代表性論文如下:
1. H. S. Qiao, L. M Wang and X. Ma, Every class of S-acts having a flatness property is closed under directed colimits,Bull. Iranian Math. Soc.,2016,42(2), 341-351.
2. H. S. Qiao and C. Q Wei, On some open problems of Mahmoudi and Renshaw,Bull. Korean Math. Soc.; 2014, 51(4): 1015-1022.
3. H. S. Qiao, L.M. Wang,Strongly W-Gorenstein modules,Czechoslovak Mathematical Journal, 2013, 63(138)(2): 441-449.
4. H. S. Qiao and C. Q Wei, On a generalization of principal weak flatness property,Semigroup Forum, 2012, 85(1): 147-159.
5. H. S. Qiao, L.M. Wang,On flatness covers of cyclic acts over monoids, Glasgow Mathematical Journal, 2012, 54(1): 163-167.
6. H. S. Qiao and F. Li, On Monoids for Which all Condition (P) Acts are Strongly Flat, Communications in Algebra, 2009, 37 (1), 234-241.
7. H. S. Qiao and Z. K. Liu,On the homological classification of pomonoids by their Rees factor S-posets, Semigroup Forum, 2009, 79(2) : 385-399.
8. H. S. Qiao and F. Li, The flatness properties of S-poset A(I) and Rees factor S-posets, Semigroup Forum, 2008, 77(2): 306-315.
9.H. S. Qiao, L. M. Wang and Z.K. Liu, On Some New Characterizations of Right Cancellative Monoids by Flatness Properties,Arabian Journal for Science and Engineering,32(2007),75-82
10. H. S. Qiao and F. Li, When all S-posets are principally weakly flat, Semigroup Forum, 75 (2007), 536-542.
11.H. S. Qiao, L.M. Wang and Z.K. Liu,On Flatness Properties of Torsion Free Right Rees Factor Acts,Semigroup Forum,73(2006), 470-474.
12.H. S. Qiao, Some New Characterizations of Right Cancellative Monoids by Condition (PWP), Semigroup Forum, 71(2005),134-139.
13.H. S. Qiao and L. Li, Some Conditions on Monoids for Which Condition (P) Acts are Strongly Flat, Communications in Algebra, 2004, 32 (12),4795-4807.
14. H. S. Qiao, Strong Flatness Properties of Right S-acts Satisfying Condition (P), Communications in Algebra, 2002, 30(9), 4321-4330.
獲獎(jiǎng)
(1) 環(huán)的冪級(jí)數(shù)擴(kuò)張研究,甘肅省科技進(jìn)步二等獎(jiǎng),2003年.
(2) 廣義冪級(jí)數(shù)環(huán)理論研究,甘肅省高等學(xué)校科技進(jìn)步一等獎(jiǎng),2006年.
(3) 利用S-系方法對(duì)幺半群的研究,2006年首屆甘肅省青年科技創(chuàng)新行動(dòng)個(gè)人一等獎(jiǎng).
(4)廣義冪級(jí)數(shù)環(huán)理論研究,甘肅省自然科學(xué)二等獎(jiǎng),2007年.
(5)半群的表示與環(huán)理論,甘肅省高等學(xué)校科技進(jìn)步三等獎(jiǎng),2010年.
(6)復(fù)形的相對(duì)同調(diào)代數(shù),甘肅省自然科學(xué)三等獎(jiǎng),2012年.
(7)復(fù)形的Gorenstein同調(diào)維數(shù)及Ding導(dǎo)出范疇, 甘肅省高校科技進(jìn)步一等獎(jiǎng), 2014.
項(xiàng)目
1.國家自然科學(xué)基金項(xiàng)目:S-系的覆蓋、包絡(luò)與同調(diào)代數(shù);起止年月:2015.01-2018.12. (主持)
2. 國家自然科學(xué)基金項(xiàng)目:有限生成系的平坦覆蓋與同調(diào)代數(shù);起止年月:2010.01-2012.12. (主持)
3. 教育部高等學(xué)校博士學(xué)科點(diǎn)專項(xiàng)科研基金項(xiàng)目:S-系的包絡(luò)與同調(diào)代數(shù);起止年月:
2010. 01-2012.12.(主持)
4. 甘肅省隴原青年創(chuàng)新人才扶持計(jì)劃項(xiàng)目:S-系理論與Operads; 2012.01-2014.12.(主持)
5.甘肅省教育廳研究生導(dǎo)師項(xiàng)目:序半群的結(jié)構(gòu)與序S-系方法研究;起止年月:2008.7-2010.7. (主持)
6.西北師范大學(xué)“知識(shí)與科技創(chuàng)新”第二批科研骨干培育項(xiàng)目: 半群的表示與代數(shù);起止年月:2009.1-2010.12.(主持)
7. 國家自然科學(xué)基金項(xiàng)目:Hopf代數(shù)上的Gorenstein同調(diào)性質(zhì); 起止年月:2011.01-2013.12. (第一參與人)
8. 國家自然科學(xué)基金項(xiàng)目:Groenstein同調(diào)理論和Quillen模型結(jié)構(gòu); 起止年月: 2012.01-2014.12. (第一參與人)
著作
半群的S-系理論(第二版),科學(xué)出版社,2008.3.