【摘 要】
：
A finite group is said to be weakly separable if every algebraic isomorphism between two S-rings over this group is induced by a combinatorial isomorphism.We prove that every abelian weakly separable group only belongs to one of several explicitly given f
【机 构】
：
Sobolev Institute of Mathematics,Novosibirsk,Russia Novosibirsk State University,Novosibirsk,Russia
论文部分内容阅读
A finite group is said to be weakly separable if every algebraic isomorphism between two S-rings over this group is induced by a combinatorial isomorphism.We prove that every abelian weakly separable group only belongs to one of several explicitly given families.
其他文献
抑郁症是最常见的心境障碍,以显著而持久的心境低落为主要临床特征,是心境障碍的主要类型.临床可见心境低落与其处境不相称,情绪的消沉可以从闷闷不乐到自卑抑郁、悲痛欲绝,严重者可出现幻觉、妄想等精神病性症状,更严重者还会悲观厌世.rn为什么现在很多年轻人会患抑郁症,甚至有自杀的倾向呢?我们该如何解救他们?这是一个很大的话题,写一本书或者几本书也不能完全说清楚,因为这个问题含有生物学、医学、社会学、心理学等各个领域的知识.
南四湖是山东最大的内陆湖泊,由微山湖、昭阳湖、独山湖和南阳湖自南向北依次串联组成,京杭大运河穿湖而过,河湖交融.在这里,繁忙的水上运输与静谧的荷花、芦苇荡并存,渔人的高歌和水鸟的鸣唱同在.独特的人文和自然环境,使得湖内的小岛极具特色,位于南阳湖内的南阳岛便是其中一个.1293年南北大运河通航后,南阳成为运河岸边的重要商埠,而到了明代中期,南阳已成为古运河畔四名镇(另有夏镇、镇江、扬州)之一.时至今日,南阳古镇仍然商号林立,以宽阔的古运河河面为“街而”,显现出她独特的自然景观.古镇老街上青砖瓦房式的建筑鳞次
In this article,we introduce and study the concept of countably generated dimension,which is a Krull-like dimension extension of the concept of DCC on countably generated submodules.We show that some of the basic results of Krull dimension are true for co
喜欢糖的甜味,是人类与生俱来的,几乎没有谁会拒绝它给我们带来的享受.在大众的认知中,制糖的原料仅限于甘蔗和甜菜等农作物,殊不知在热带和亚热带地区还有一种产糖的高大乔木.这种大树产出来的糖,甜而不腻,营养丰富,热量极低.在柬埔寨,人们更是把这种大树尊崇为国树,它就是大名鼎鼎的糖棕Borassus flabellifer L..
A *-ring R is called a nil *-clean ring if every element of R is a sum of a projection and a nilpotent.Nil *-clean rings are the *-version of nil-clean rings introduced by Diesl.This paper is about the nil *-clean property of rings with emphasis on matrix
两次鸦片战争后,左宗棠于1866年创建福州船政,旨在掌握独立建造现代舰船的能力.船政雇佣了法国顾问、工程师、教师和工匠,并建立了一系列法文学堂,进行造船、绘图及学徒教育.前人研究已经几乎探清了福州船政的历史细节,但很少对船政的造船和教育水平给出准确的评估.本文追溯船政造船技术和教育制度的法国源头并进行比较研究,认为在洋人的指导和帮助下,福州船政已经具备组装舰船和仿制蒸汽机的能力,而设计图纸和重要的结构件仍需进口.船政所培养出最优秀的学生或许可以达到法国综合理工学校毕业生的水平,但优质生源难以为续.观念的落
Let (l) and n be positive integers such that l ≥ n,and let Gn,l be the Grassmannian which consists of the set of n-dimensional subspaces of Cl.There is a Z-graded algebra isomorphism between the cohomology H*(Gn,l,Z) of Gn,l and a nat-ural Z-form B of the
We provide the regularity and the Cohen-Macaulay type of binomial edge ideals of Cohen-Macaulay cones,and we show the extremal Betti numbers of some classes of Cohen-Macaulay binomial edge ideals:Cohen-Macaulay bipartite and fan graphs.In addition,we comp
This article concerns a ring property called pseudo-reduced-over-center that is satisfied by free algebras over commutative reduced rings.The properties of radicals of pseudo-reduced-over-center rings are investigated,especially related to polynomial ring
For every simple graph G,a class of multiple clique cluster-whiskered graphs Geπm is introduced,and it is shown that all such graphs are vertex decomposable;thus,the independence simplicial complex IndGeπm is sequentially Cohen-Macaulay.The properties of