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

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Some remarks on higher derivations of finite rank in a field of a positive characteristic 正特征域上有限阶高导的若干注释
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1968-01-01 DOI: 10.32917/hmj/1206138808
H. Yanagihara
{"title":"Some remarks on higher derivations of finite rank in a field of a positive characteristic","authors":"H. Yanagihara","doi":"10.32917/hmj/1206138808","DOIUrl":"https://doi.org/10.32917/hmj/1206138808","url":null,"abstract":"In this short note we give a generalization of an approximation theorem on iterated higher derivations given by F. K. Schmidt in a paper [_2J (see Satz 14). Our generalization is done by determining all the iterated higher derivations of finite rank in any field K of a positive characteristic p. The following result on a derivation d in K will play an essential role in the proof: if we have d = 0, then d~a) = 0 if and only if a = d(β) for some β in K* We shall give a proof of this fact using the Jacobson-Bourbaki's theorem which asserts the existence of a 1 — 1 correspondence between subfields of finite codimension in a field K and certain subrings of the ring M(K) of endomorphisms of the additive group (K, +) . Lastly we shall be concerned with conditions for a purely inseparable extension K of finite degree over a field k to be a tensor product of simple extensions over k. These conditions will be given in terms of higher derivations in K.","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"25 1","pages":"167-171"},"PeriodicalIF":0.0,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74282266","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 classes of Malcev algebras 关于马尔切夫代数的某些类
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1968-01-01 DOI: 10.32917/HMJ/1206138648
T. Ravisankar
{"title":"On certain classes of Malcev algebras","authors":"T. Ravisankar","doi":"10.32917/HMJ/1206138648","DOIUrl":"https://doi.org/10.32917/HMJ/1206138648","url":null,"abstract":"This note is a sequel to the author's earlier paper [5]. For brevity we adopt the notations and definitions employed in Q5] without explaining them here again. This note is concerned only with Malcev algebras (finite-dimensional) belonging to the classes of general algebras dealt with in Ί5Γ. As is well-known (see e.g. E6]), a Malcev algebra A is an anticommutative algebra satisfying the identity (x, y, z in A):","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"8 1","pages":"233-236"},"PeriodicalIF":0.0,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87228850","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: 1
On the distributional boundary values of vector-valued holomorphic functions 关于向量值全纯函数的分布边值
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1968-01-01 DOI: 10.32917/HMJ/1206138661
Mitsuyuki Itano
{"title":"On the distributional boundary values of vector-valued holomorphic functions","authors":"Mitsuyuki Itano","doi":"10.32917/HMJ/1206138661","DOIUrl":"https://doi.org/10.32917/HMJ/1206138661","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"77 1","pages":"397-440"},"PeriodicalIF":0.0,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87497923","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: 10
On the vector bundles $mxi sbn$ over real projective spaces 在实投影空间上的向量束$mxi sbn$
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1968-01-01 DOI: 10.32917/HMJ/1206138803
T. Yoshida
{"title":"On the vector bundles $mxi sbn$ over real projective spaces","authors":"T. Yoshida","doi":"10.32917/HMJ/1206138803","DOIUrl":"https://doi.org/10.32917/HMJ/1206138803","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"29 1","pages":"5-16"},"PeriodicalIF":0.0,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76684048","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: 4
On conditionally upper continuous lattices 在条件上连续格上
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1968-01-01 DOI: 10.32917/HMJ/1206138802
M. Janowitz
{"title":"On conditionally upper continuous lattices","authors":"M. Janowitz","doi":"10.32917/HMJ/1206138802","DOIUrl":"https://doi.org/10.32917/HMJ/1206138802","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"s3-39 1","pages":"1-4"},"PeriodicalIF":0.0,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90829039","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: 1
Duality theorems in mathematical programmings and their applications. 数学规划中的对偶定理及其应用。
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1968-01-01 DOI: 10.32917/HMJ/1206138657
M. Yamasaki
{"title":"Duality theorems in mathematical programmings and their applications.","authors":"M. Yamasaki","doi":"10.32917/HMJ/1206138657","DOIUrl":"https://doi.org/10.32917/HMJ/1206138657","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"25 1","pages":"331-356"},"PeriodicalIF":0.0,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78235107","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: 7
The method of orthogonal decomposition for differentials on open Riemann surfaces 开放黎曼曲面上微分的正交分解方法
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1968-01-01 DOI: 10.32917/HMJ/1206138810
Michio Yoshida
{"title":"The method of orthogonal decomposition for differentials on open Riemann surfaces","authors":"Michio Yoshida","doi":"10.32917/HMJ/1206138810","DOIUrl":"https://doi.org/10.32917/HMJ/1206138810","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"15 1","pages":"181-210"},"PeriodicalIF":0.0,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73951232","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: 10
Containment relations between classes of regular ideals in a ring with few zero divisors 少零因子环上正则理想类之间的包容关系
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1968-01-01 DOI: 10.32917/HMJ/1206138650
Max D. Larsen
{"title":"Containment relations between classes of regular ideals in a ring with few zero divisors","authors":"Max D. Larsen","doi":"10.32917/HMJ/1206138650","DOIUrl":"https://doi.org/10.32917/HMJ/1206138650","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"48 1","pages":"241-246"},"PeriodicalIF":0.0,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74349020","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: 4
Schwarz reflexion principle in 3-space 三维空间中的Schwarz反射原理
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1968-01-01 DOI: 10.32917/hmj/1206138655
M. Ohtsuka
{"title":"Schwarz reflexion principle in 3-space","authors":"M. Ohtsuka","doi":"10.32917/hmj/1206138655","DOIUrl":"https://doi.org/10.32917/hmj/1206138655","url":null,"abstract":"The Schwarz reflexion principle is well-known in the theory of harmonic functions in a plane. In the three dimensional euclidean space ( = 3-space), however, it seems that some problems remain to be discussed. In this paper, we shall show that any harmonic function h, defined in a domain D within an open ball Fand having vanishing normal derivative on a part E of ΘDfΛdV, can always be continued across E but in general only radially. J. W. Green [2] treated the case where D coincides with V. He showed that h is continued harmonically through E to the entire outside of V if and","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"104 1","pages":"301-307"},"PeriodicalIF":0.0,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80812973","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
Asymptotic expansion of the distribution of the generalized variance in the non-central case 非中心情况下广义方差分布的渐近展开式
Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1968-01-01 DOI: 10.32917/HMJ/1206138654
Y. Fujikoshi
{"title":"Asymptotic expansion of the distribution of the generalized variance in the non-central case","authors":"Y. Fujikoshi","doi":"10.32917/HMJ/1206138654","DOIUrl":"https://doi.org/10.32917/HMJ/1206138654","url":null,"abstract":"","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"2 1","pages":"293-299"},"PeriodicalIF":0.0,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83790457","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: 17
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