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Mathematical Journal of Ibaraki University最新文献

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Some remarks on Krull's conjecture regarding almost integral elements 对Krull关于几乎整元猜想的几点评述
Mathematical Journal of Ibaraki University Pub Date : 1998-05-01 DOI: 10.5036/MJIU.30.15
Habte Gebru
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引用次数: 2
A Certain Subclass of Meromorphically Convex Functions with Negative Coefficients 一类负系数亚纯凸函数
Mathematical Journal of Ibaraki University Pub Date : 1998-01-01 DOI: 10.5036/MJIU.30.33
H. Srivastava, H. M. Hossen, M. Aouf
{"title":"A Certain Subclass of Meromorphically Convex Functions with Negative Coefficients","authors":"H. Srivastava, H. M. Hossen, M. Aouf","doi":"10.5036/MJIU.30.33","DOIUrl":"https://doi.org/10.5036/MJIU.30.33","url":null,"abstract":"In this paper we obtain coefficient inequalities, and distortion and closure theorems, for the class Λk(α, β, A, B) of meromorphically convex functions with negative coefficients, which we introduce here. We also obtain the class-preserving integral operator of the form:F(z)=c∫10ucf(uz)du (c>0)for the class Λk(α, β, A, B). Conversely, when the image function F(z)∈ Λk(α, β, A, B), we find the radius of convexity of the original function f(z). Several interesting results involving the modified Hadamard product of functions belonging to the class Λk(α, β, A, B) are also derived.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"11 1","pages":"33-51"},"PeriodicalIF":0.0,"publicationDate":"1998-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81097133","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: 14
On some Properties between Rings and Semigroups 关于环与半群之间的一些性质
Mathematical Journal of Ibaraki University Pub Date : 1997-05-01 DOI: 10.5036/MJIU.29.9
Ryuki Matsuda
{"title":"On some Properties between Rings and Semigroups","authors":"Ryuki Matsuda","doi":"10.5036/MJIU.29.9","DOIUrl":"https://doi.org/10.5036/MJIU.29.9","url":null,"abstract":"","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"83 1","pages":"9-23"},"PeriodicalIF":0.0,"publicationDate":"1997-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86550266","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
The Krull-Akizuki Theorem for Semigroups 半群的Krull-Akizuki定理
Mathematical Journal of Ibaraki University Pub Date : 1997-05-01 DOI: 10.5036/MJIU.29.55
Ryuki Matsuda
{"title":"The Krull-Akizuki Theorem for Semigroups","authors":"Ryuki Matsuda","doi":"10.5036/MJIU.29.55","DOIUrl":"https://doi.org/10.5036/MJIU.29.55","url":null,"abstract":"","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"26 1","pages":"55-56"},"PeriodicalIF":0.0,"publicationDate":"1997-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82287904","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
The behaviour of generalized denominator ideals in anti-integral extensions 反积分扩展中广义分母理想的性质
Mathematical Journal of Ibaraki University Pub Date : 1997-05-01 DOI: 10.5036/MJIU.29.1
S. Oda, KEN-ICHI Yoshida
{"title":"The behaviour of generalized denominator ideals in anti-integral extensions","authors":"S. Oda, KEN-ICHI Yoshida","doi":"10.5036/MJIU.29.1","DOIUrl":"https://doi.org/10.5036/MJIU.29.1","url":null,"abstract":"","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"51 1","pages":"1-7"},"PeriodicalIF":0.0,"publicationDate":"1997-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81077238","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
Some properties of certain simple flat extensions 某些简单平面扩展的一些性质
Mathematical Journal of Ibaraki University Pub Date : 1997-05-01 DOI: 10.5036/MJIU.29.25
M. Kanemitsu, KEN-ICHI Yoshida
{"title":"Some properties of certain simple flat extensions","authors":"M. Kanemitsu, KEN-ICHI Yoshida","doi":"10.5036/MJIU.29.25","DOIUrl":"https://doi.org/10.5036/MJIU.29.25","url":null,"abstract":"The ring R such that R[α]∩R[α-1]=R is studied by Ratliff-Mirbagheri ([5]). In [7], they call α anti-integral over R if R[α]∩R[α-1]=R. In [6], the concept of an anti-integral element over R was extended to high degree case. Related papers of birational anti-integral extensions and high degree anti-integral extensions are [1], [2] and [6]. In this paper, we study the simple ring extension A/R dividing to B/R and A/B. In particular, let A=R[α] be a, primitive extension over R (see Definition 2) and put B=R[α]∩R[α-1]. Then the following statements hold. 1) A/B is flat. 2) A/R is flat if and only if B/R is flat. We give the following definition (cf. [6]).","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"47 1","pages":"25-29"},"PeriodicalIF":0.0,"publicationDate":"1997-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73059912","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
Notes on removable singularities for a certain class of semilinear degenerate elliptic equations 一类半线性退化椭圆型方程的可移奇点的注释
Mathematical Journal of Ibaraki University Pub Date : 1997-05-01 DOI: 10.5036/MJIU.29.31
T. Horiuchi
{"title":"Notes on removable singularities for a certain class of semilinear degenerate elliptic equations","authors":"T. Horiuchi","doi":"10.5036/MJIU.29.31","DOIUrl":"https://doi.org/10.5036/MJIU.29.31","url":null,"abstract":"When α=β=γ=0, this result is already established by H. Brezis and L. Veron in [BV]. They proved this result by using a comparison principle and a weak maximum principle. Although the operator in this paper is degenerate at the origin, their methods still work under some modifications. In fact we first construct a suitable super-solution, and then we derive a pointwise estimate by a weak muximum principle and Kato's inequality. As a application we will deduce that if u∈(C2(B') satisfies","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"3 1","pages":"31-39"},"PeriodicalIF":0.0,"publicationDate":"1997-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81222877","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
Note on characterizations of semistar operations and star operations on an integral domain 关于积分域上半星型运算和星型运算的刻画
Mathematical Journal of Ibaraki University Pub Date : 1900-01-01 DOI: 10.5036/MJIU.46.31
A. Okabe
{"title":"Note on characterizations of semistar operations and star operations on an integral domain","authors":"A. Okabe","doi":"10.5036/MJIU.46.31","DOIUrl":"https://doi.org/10.5036/MJIU.46.31","url":null,"abstract":"We study semistar operations and star operations on an integral domain and we give some new characterizations of both a semistar operation and a star operation.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"12 1","pages":"31-36"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77682633","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
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