艾尔弗雷德·诺思·怀特海(Alfred North Whitehead 1861-1947)是本世纪上半叶英国著名的哲学家、数学家。他的一生正处于工业生产和科学技术迅猛发展、古典主义的教育传统和形式主义的教学方法受到巨大冲击的时代,经历漫长,著...艾尔弗雷德·诺思·怀特海(Alfred North Whitehead 1861-1947)是本世纪上半叶英国著名的哲学家、数学家。他的一生正处于工业生产和科学技术迅猛发展、古典主义的教育传统和形式主义的教学方法受到巨大冲击的时代,经历漫长,著作丰富。在哲学上,他利用自然科学特别是物理学的新发现来说明自然及其宇宙是一个不断发展变化的过程。展开更多
Welcome to the inaugural article from the Alfred North Whitehead Laureate Lecture, which was held at the Whitehead Academy of Intelligence in Beijing, China, on October 18, 2018. The inaugural lecture was delivered by...Welcome to the inaugural article from the Alfred North Whitehead Laureate Lecture, which was held at the Whitehead Academy of Intelligence in Beijing, China, on October 18, 2018. The inaugural lecture was delivered by Professor Jonathan M. Garibaldi, the Head of School of Computer Science at the University of Nottingham and the Editor-in- Chief of IEEE Transactions on Fuzzy Systems. I am sure you will enjoy his “The Need for Fuzzy AI” in crystal logic and with nothing of fuzzy thinking.展开更多
本文给出定向范畴正向极限的一种简化计算方法,得到定理:设G是定向范畴,G’是G的满子范畴,若对于任意的A∈·bG,存在A’∈bG’,使得G(A,A’)≠φ,则lim G’=lim G. 根据Whtitehead群与正向极限的关系,此结果可简化研究Whitehead群...本文给出定向范畴正向极限的一种简化计算方法,得到定理:设G是定向范畴,G’是G的满子范畴,若对于任意的A∈·bG,存在A’∈bG’,使得G(A,A’)≠φ,则lim G’=lim G. 根据Whtitehead群与正向极限的关系,此结果可简化研究Whitehead群的结构,同时利用此结果给出了[1]中命题32的一种简单证明。展开更多
In this paper we study the properties of homotopy inverses of comultiplications and Mgebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old...In this paper we study the properties of homotopy inverses of comultiplications and Mgebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old ones by using a group action. We are primarily interested in the algebraic loops which have inversive, power-associative and Moufang properties for some comultiplications.展开更多
When R satisfies (strong unit) 1-stable range and M is a R-R-bimodule, the authors calculate that K_1(R(?) M)≌U(R(?) M)/L(R(?) M). As applications, the authors also calculate some Whitehead groups for exchange rings ...When R satisfies (strong unit) 1-stable range and M is a R-R-bimodule, the authors calculate that K_1(R(?) M)≌U(R(?) M)/L(R(?) M). As applications, the authors also calculate some Whitehead groups for exchange rings with artinian primitive factors.展开更多
文摘艾尔弗雷德·诺思·怀特海(Alfred North Whitehead 1861-1947)是本世纪上半叶英国著名的哲学家、数学家。他的一生正处于工业生产和科学技术迅猛发展、古典主义的教育传统和形式主义的教学方法受到巨大冲击的时代,经历漫长,著作丰富。在哲学上,他利用自然科学特别是物理学的新发现来说明自然及其宇宙是一个不断发展变化的过程。
文摘Welcome to the inaugural article from the Alfred North Whitehead Laureate Lecture, which was held at the Whitehead Academy of Intelligence in Beijing, China, on October 18, 2018. The inaugural lecture was delivered by Professor Jonathan M. Garibaldi, the Head of School of Computer Science at the University of Nottingham and the Editor-in- Chief of IEEE Transactions on Fuzzy Systems. I am sure you will enjoy his “The Need for Fuzzy AI” in crystal logic and with nothing of fuzzy thinking.
文摘本文给出定向范畴正向极限的一种简化计算方法,得到定理:设G是定向范畴,G’是G的满子范畴,若对于任意的A∈·bG,存在A’∈bG’,使得G(A,A’)≠φ,则lim G’=lim G. 根据Whtitehead群与正向极限的关系,此结果可简化研究Whitehead群的结构,同时利用此结果给出了[1]中命题32的一种简单证明。
基金supported by Basic Science Research Program through the National Research Foundation of Korea (NRF)the Ministry of Education,Science and Technology (2010-0022035)
文摘In this paper we study the properties of homotopy inverses of comultiplications and Mgebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old ones by using a group action. We are primarily interested in the algebraic loops which have inversive, power-associative and Moufang properties for some comultiplications.
基金This research is supported by the National Natural Science Foundation of China (19801012)the Ministry of Education of China([2000]65)
文摘When R satisfies (strong unit) 1-stable range and M is a R-R-bimodule, the authors calculate that K_1(R(?) M)≌U(R(?) M)/L(R(?) M). As applications, the authors also calculate some Whitehead groups for exchange rings with artinian primitive factors.
