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Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry最新文献

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Distinguished normal operators on open Riemann surfaces 开放Riemann曲面上的区分正规算子
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1967-01-01 DOI: 10.32917/HMJ/1206138973
H. Yamaguchi
{"title":"Distinguished normal operators on open Riemann surfaces","authors":"H. Yamaguchi","doi":"10.32917/HMJ/1206138973","DOIUrl":"https://doi.org/10.32917/HMJ/1206138973","url":null,"abstract":"for any VZ> Vi and any continuous function/ on dV. Consider the Kerekjartό-Stoilow compactification W* of W and denote the boundary by β(W)= W*— W. Partition β(W) into two disjoint sets a and γ where a is non-empty closed. The purpose of this paper is to investigate the following boundary value problems: Suppose that the closure of Wo e V in W* contains a and that / is continuously differentiate in WQ and has DWo(f)< °° Then is there uniquely a function Hf satisfying the following conditions? (I) Hf is harmonic in W and has Dw(Hf)< oo, (II) Hf = Lv(Hf) for any Ve V such that the intersection of β(ΐP) with the closure of V is contained in r, (III) lim Hf(z) = lim/(.2r) for almost all curves r where each r is a locally","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"323 1","pages":"221-241"},"PeriodicalIF":0.0,"publicationDate":"1967-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89589244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On the torsion submodule of a module of type $(Fsb1)$ 类型为$(Fsb1)$的模的扭转子模
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1967-01-01 DOI: 10.32917/HMJ/1206138967
T. Matsuoka
{"title":"On the torsion submodule of a module of type $(Fsb1)$","authors":"T. Matsuoka","doi":"10.32917/HMJ/1206138967","DOIUrl":"https://doi.org/10.32917/HMJ/1206138967","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"7 1","pages":"151-160"},"PeriodicalIF":0.0,"publicationDate":"1967-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87835882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Monotonicity of the modified likelihood ratio test for a covariance matrix 协方差矩阵修正似然比检验的单调性
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1967-01-01 DOI: 10.32917/HMJ/1206138966
H. Nagao
{"title":"Monotonicity of the modified likelihood ratio test for a covariance matrix","authors":"H. Nagao","doi":"10.32917/HMJ/1206138966","DOIUrl":"https://doi.org/10.32917/HMJ/1206138966","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"27 1","pages":"147-150"},"PeriodicalIF":0.0,"publicationDate":"1967-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83557393","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 27
On fixations and reciprocal images of currents 关于固定和电流的互反图像
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1967-01-01 DOI: 10.32917/hmj/1206138969
Mitsuyuki Itano
{"title":"On fixations and reciprocal images of currents","authors":"Mitsuyuki Itano","doi":"10.32917/hmj/1206138969","DOIUrl":"https://doi.org/10.32917/hmj/1206138969","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"345 1","pages":"173-190"},"PeriodicalIF":0.0,"publicationDate":"1967-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75463351","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Overrings of almost multiplication rings 几乎乘法环的上环
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1967-01-01 DOI: 10.32917/HMJ/1206138964
Max D. Larsen, P. McCarthy
{"title":"Overrings of almost multiplication rings","authors":"Max D. Larsen, P. McCarthy","doi":"10.32917/HMJ/1206138964","DOIUrl":"https://doi.org/10.32917/HMJ/1206138964","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"12 1","pages":"123-129"},"PeriodicalIF":0.0,"publicationDate":"1967-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78757496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On the value of distributions at a point and the multiplicative products 关于某一点上的分布值和乘积
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1967-01-01 DOI: 10.32917/HMJ/1206139059
R. Shiraishi
{"title":"On the value of distributions at a point and the multiplicative products","authors":"R. Shiraishi","doi":"10.32917/HMJ/1206139059","DOIUrl":"https://doi.org/10.32917/HMJ/1206139059","url":null,"abstract":"The theory of multiplication between distributions has been developed by several authors (cf. the references in [5]). Recently M. Itano [5] defined the multiplication satisfying certain reasonable requirements. Such a multiplication was called normal by him. In his theory the notion of a value of a distribution at a point in the sense of S. Lojasiewicz [7] plays an important role. On the other hand, in our previous paper [11] the multiplication was defined by using the 5-sequences. The aim of the present paper is to unify these two approaches of defining multiplication. To this end we shall introduce the notion of a ^-sequence in a restricted sense in order to make clear the relationships among different approaches to the theory of multiplication between distributions. Let T be a distribution defined on R. If lim < Γ, pn> exists for every W->oo","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"116 1","pages":"89-104"},"PeriodicalIF":0.0,"publicationDate":"1967-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82079512","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
On the immersion problem for certain manifolds 一类流形的浸没问题
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1967-01-01 DOI: 10.32917/HMJ/1206138968
Teiichi Kobayashi
{"title":"On the immersion problem for certain manifolds","authors":"Teiichi Kobayashi","doi":"10.32917/HMJ/1206138968","DOIUrl":"https://doi.org/10.32917/HMJ/1206138968","url":null,"abstract":"In this note, let M denote a compact connected orientable C°°-manifold (with boundary) of dimension m, and R the A -dimensional Euclidean space. We write M^R (or MΦR) to denote the existence (or the non-existence) of a C°°-immersion of M into R. The purpose of this note is to discuss the immersion problem for some manifolds M whose integral cohomology groups HM; Z) in positive dimensions are finite and have no 2-primary subgroups. We obtain the following immersion theorems of such manifolds M into R where h is near to 3m/2.","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"54 4 1","pages":"161-171"},"PeriodicalIF":0.0,"publicationDate":"1967-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78318908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On certain properties of Lie algebras 李代数的若干性质
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1967-01-01 DOI: 10.32917/HMJ/1206139054
Atsuo Jôichi
{"title":"On certain properties of Lie algebras","authors":"Atsuo Jôichi","doi":"10.32917/HMJ/1206139054","DOIUrl":"https://doi.org/10.32917/HMJ/1206139054","url":null,"abstract":"Introduction. I. M. Singer [V] has introduced the following condition for a Lie algebra L: (A) Any pair of elements x, y of L such that [_χ, Qx, yHH = O satisfies ^x, y~3 = 0. M. Sugiura [2Γ called a Lie algebra satisfying this condition to be an (A)-algebra and proved, among other results, that a Lie algebra L over a field of characteristic 0 is an (A)-algebra if and only if any xeL such that (ad xf = 0 for some k 2> 2 satisfies ad x = 0. On the other hand, S. Togo [3] has considered a Lie algebra L satisfying the condition that (ad^) = 0 implies ad χ = 0, and has given an example of such a Lie algebra which is solvable but not abelian. This is not an (A)-algebra since any solvable (A)-algebra is abelian OH, Ĉ ID Thus we are led to consider a Lie algebra which satisfies the condition that (ad^)^^O implies ad:χ; = 0 for a fixed integer k 2>2. We shall call such a Lie algebra to be an (A^)-algebra. In this paper we shall investigete the properties of (A^)-algebras. It will be shown that a solvable (resp. nilpotent) Lie algebra over a field of characteristic 0 is an (A^)-algebra with k J>3 (resp. k |>2) if and only if it is abelian. We shall show that an (A2)-algebra is not always an (A^)-algebra with k J> 3, much less an (A)-algebra. As to (A^-algebras with k I> 3, if the basic field is algebraically closed and of characteristic 0, we can show that an (A^)-algebra is abelian and so an (A)-algebra. A detailed discussion about (A2)-algebras is also given. The author wishes to express his gratitude to Dr. S. Togo for his encouragement given during the preparation of this paper.","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"38 1","pages":"25-33"},"PeriodicalIF":0.0,"publicationDate":"1967-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87414731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
A note on the cyclical generation of disjoint spreads 关于不相交息差周期性产生的说明
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1967-01-01 DOI: 10.32917/HMJ/1206138970
N. Hamada, Teijiro Fukuda
{"title":"A note on the cyclical generation of disjoint spreads","authors":"N. Hamada, Teijiro Fukuda","doi":"10.32917/HMJ/1206138970","DOIUrl":"https://doi.org/10.32917/HMJ/1206138970","url":null,"abstract":"1. It is unknown whether the BIB design PG(ί = 2ra —1, 2): 1 obtained by choosing the points in PG (ί, 2) as treatments and all lines as blocks is resolvable or not for *;>5. C. R. Rao [1], [2] showed that the BIB design PG(ί = 3, 2): 1 with parameters t; = 15, ό = 35, k = 3, r=7, λ = l was resolvable by decomposing all lines in PG(3, 2) into 7 disjoint 1-fold spreads So, Su , S6. The procedure of constructing these spreads is as follows: (1) A set So consisting of 5 lines cyclically generated from the initial line L(x°, x, x) of the minimum cycle 0=5 is chosen as the initial 1-fold spread. (2) Generate Sj+X cyclically by a transformation (T(Sf)= Sj+ι (/=0, 1, ..., 5) where ΰ is a nonsingular linear transformation in PG(3, 2) such that","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"77 1","pages":"191-194"},"PeriodicalIF":0.0,"publicationDate":"1967-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91002549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A remark on vector fields on lens spaces 关于透镜空间上矢量场的评述
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1967-01-01 DOI: 10.32917/HMJ/1206139052
T. Yoshida
{"title":"A remark on vector fields on lens spaces","authors":"T. Yoshida","doi":"10.32917/HMJ/1206139052","DOIUrl":"https://doi.org/10.32917/HMJ/1206139052","url":null,"abstract":"Let M be a C°°-manif old. The (continuous) vector field v on M is a crosssection of the tangent bundle of M, and &-field on ikί is a set of k vector fields vι, • ••, vk such that the k vectors v± (x), • •-, vk (x) are linearly independent for each point x e M. We denote by span(M) the maximal number of k where M admits a £>field. In this note, it is remarked that span(L(p)), of the (2n + l)-dimensional mod p lens space L (p), is given partially by the following PROPOSITION. Let n + l = m2 (m: odd), (i) If c = 0, then 2t + l<,span(L(p))<:2t-{-2 (=span(S)). (ii) // c = l, 2, then span(L(p)) = 2t + l (=span (S)). (in) If c = 3, then 2t + l^span(L(p))<,2t + 3 (=span(S)). Here the lens space L(p) (p>l) is the quotient space S/Γ of the unit sphere s by the topological transformation groupΓ= {1, γ, • , γ~} defined by","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"30 1","pages":"13-15"},"PeriodicalIF":0.0,"publicationDate":"1967-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75450902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
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