時間:12月14日10:00-11:00
地點:倉前校區勤園21-306
主講人簡介:唐高華,北部灣大學副校長,博士,二級教授,博士生導師,廣西十百千人才。教育部高等學校數學類專業教學指導委員會委員,廣西數學會理事長,廣西本科高等學校數學類教學指導委員會主任委員。先后榮獲全國優秀教師,全國師德先進個人,八桂名師,廣西高校教學名師,廣西十大杰出青年教師等榮譽和稱號。
主要從事交換代數、同調代數、環的代數結構與圖結構等的研究,先后主持國家自然基金項目3項,參加國家自然基金項目6項,主持完成廣西科學基金項目7項。在《Journal of Algebra》《Linear Algebra and Its Applications》《數學學報》《數學教育學報》等國內外學術刊物上發表科研和教研論文130多篇,SCI 收錄40多篇,出版教材2部。
是廣西高校重點學科、廣西高校優質專業、廣西高校優秀教學團隊、廣西高校精品課程等的負責人。獲得廣西優秀教學成果獎一等獎1項、二等獎2項。培養博士和碩士研究生30多人。
內容簡介:A unit-picker is a map g that associates to every ring R a well-defifined set g(R) of central units in R and is closed under taking inverses and which satisfies certain set containment conditions for quotient rings, corner rings and matrix rings. Let g be a unit-picker. A ring R is called (strongly) nil g-clean if for each a\in R, a=ve+b, where v\in g(R), e^2=e\in R and b\in Ris nilpotent (and ab=ba). An extensive study of (strongly) nil g-clean rings is conducted. When g is specifified, known results of the much studied (strongly) nil-clean rings and weakly nil-clean rings are re-proved and new results of other nil-clean-like rings are obtained.