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Mathematical Journal of Ibaraki University最新文献

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A problem on coextensions 关于上延的一个问题
Mathematical Journal of Ibaraki University Pub Date : 2019-01-01 DOI: 10.5036/MJIU.51.27
H. Ōshima
{"title":"A problem on coextensions","authors":"H. Ōshima","doi":"10.5036/MJIU.51.27","DOIUrl":"https://doi.org/10.5036/MJIU.51.27","url":null,"abstract":"We raise a problem on coextensions and (cid:12)nd partial answers.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"190 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83558218","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
Existence and non-existence of caloric morphisms with Bateman space-mapping for radial metrics 径向度量的贝特曼空间映射热态射的存在性和不存在性
Mathematical Journal of Ibaraki University Pub Date : 2019-01-01 DOI: 10.5036/MJIU.51.1
Katsunori Shimomura
{"title":"Existence and non-existence of caloric morphisms with Bateman space-mapping for radial metrics","authors":"Katsunori Shimomura","doi":"10.5036/MJIU.51.1","DOIUrl":"https://doi.org/10.5036/MJIU.51.1","url":null,"abstract":"In semi-euclidean spaces, conformal mappings are consists of similarities, inversions, and Bateman mapping [14]. In this note, we shall discuss problems whether there exist caloric morphisms with Bateman space mapping for radial semi-euclidean metrics. It is based on the similar arguments as were used in [8], [9], and [10].","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"57 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87485473","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 class number parity of an abelian field of prime conductor, III 本源导体阿贝尔场的类数奇偶性注记，3
Mathematical Journal of Ibaraki University Pub Date : 2019-01-01 DOI: 10.5036/mjiu.51.39
H. Ichimura
{"title":"Note on class number parity of an abelian field of prime conductor, III","authors":"H. Ichimura","doi":"10.5036/mjiu.51.39","DOIUrl":"https://doi.org/10.5036/mjiu.51.39","url":null,"abstract":"Let p be a prime number of the form p = 2 ℓ +1 with some odd prime number ℓ . For such a prime number p , it is shown that the relative class number h (cid:0) p of the p th cyclotomic (cid:12)eld Q ( (cid:16) p ) is odd when 2 remains prime in Q ( (cid:16) ℓ ) + by Estes [3], Stevenhagen [11] and Mets(cid:127)ankyl(cid:127)a [8] using a Bernoulli number associated to Q ( (cid:16) p ). In this note, we give an alternative proof of the assertion using a cyclotomic unit of Q ( (cid:16) p ) + .","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"88 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74465555","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
Kato's inequalities for admissible functions to quasilinear elliptic operators A 拟线性椭圆算子可容许函数的Kato不等式
Mathematical Journal of Ibaraki University Pub Date : 2019-01-01 DOI: 10.5036/MJIU.51.49
Xiaojing Liu, T. Horiuchi
{"title":"Kato's inequalities for admissible functions to quasilinear elliptic operators A","authors":"Xiaojing Liu, T. Horiuchi","doi":"10.5036/MJIU.51.49","DOIUrl":"https://doi.org/10.5036/MJIU.51.49","url":null,"abstract":"Let 1 < p < 1 and let Ω be a bounded domain of R N ( N (cid:21) 1). In this paper, we consider a class of second order quasilinear elliptic operators A in Ω including the p -Laplace operator ∆ p . First we establish various type of Kato’s inequalities for A when A u is a Radon measure. Then we prove the inverse maximum principle and describe the strong maximum principle. For this purpose it is crucial to introduce a notion of admissible class for the operator A and use it effectively. y","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"79 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89838602","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
A gg not gh-cancellative semistar operation which is an extension of a star operation 半星型运算，它是星型运算的扩展
Mathematical Journal of Ibaraki University Pub Date : 2018-01-01 DOI: 10.5036/MJIU.50.1
Ryuki Matsuda
{"title":"A gg not gh-cancellative semistar operation which is an extension of a star operation","authors":"Ryuki Matsuda","doi":"10.5036/MJIU.50.1","DOIUrl":"https://doi.org/10.5036/MJIU.50.1","url":null,"abstract":"Let R be an integral domain with quotient field K , let h (resp., g, f) be the non-zero R -submodules of K (resp., the non-zero fractional ideals of R , the finitely generated non-zero fractional ideals of R ), and let { x, y } be a subset of the set { f, g, h } of symbols. For a semistar operation (cid:63) on R , if ( EE 1 ) (cid:63) = ( EE 2 ) (cid:63) implies E 1 (cid:63) = E 2 (cid:63) for every E ∈ x and every E 1 , E 2 ∈ y, then (cid:63) is called xy-cancellative. Let (cid:63) be a gg-cancellative semistar operation on R which is an extension of a star operation on R . In this paper, we show that (cid:63) need not be gh-cancellative.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":" 103","pages":"1-4"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91415462","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
Structure of 2-skeletons of higher dimensional regular polytopes 高维正多面体的二骨架结构
Mathematical Journal of Ibaraki University Pub Date : 2018-01-01 DOI: 10.5036/MJIU.50.27
Fumiko Ohtsuka
{"title":"Structure of 2-skeletons of higher dimensional regular polytopes","authors":"Fumiko Ohtsuka","doi":"10.5036/MJIU.50.27","DOIUrl":"https://doi.org/10.5036/MJIU.50.27","url":null,"abstract":"In our paper [2], we have classified simple regular polyhedral BP-complexes, which are polyhedral complexes satisfying certain natural conditions on their vertex structures. As an addendum of this classification, we prove that 2-skeletons of higher dimensional regular polytopes are simple regular polyhedral complexes, but not polyhedral BP-complexes. The proof is done by a detailed investigation of their vertex structures.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"76 1","pages":"27-33"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86060571","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
The equivalences among p-capacity, p-Laplace-capacities and Hausdorff measure p-容量、p-拉普拉斯容量与Hausdorff测度之间的等价
Mathematical Journal of Ibaraki University Pub Date : 2018-01-01 DOI: 10.5036/MJIU.50.5
Xiaojing Liu, T. Horiuchi
{"title":"The equivalences among p-capacity, p-Laplace-capacities and Hausdorff measure","authors":"Xiaojing Liu, T. Horiuchi","doi":"10.5036/MJIU.50.5","DOIUrl":"https://doi.org/10.5036/MJIU.50.5","url":null,"abstract":"Let Ω be a smooth bounded domain of R . In this paper, we study the equivalences among three capacities and Hausdorff measure. First we present the equivalence between p-capacity Cp(K) and p-Laplace-capacitiy C∆p(K) relative to Ω for any compact set K ⊂ Ω. Secondly we establish the equivalence between p-Laplace capacity Cp(K, ∂Ω) relative to ∂Ω and Hausdorff measure HN−1(K) for any compact set K ⊂ ∂Ω.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"15 1","pages":"5-13"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82377623","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 the stability of a presemistar operation 关于前星操作的稳定性的注意事项
Mathematical Journal of Ibaraki University Pub Date : 2018-01-01 DOI: 10.5036/mjiu.50.35
A. Okabe
{"title":"Note on the stability of a presemistar operation","authors":"A. Okabe","doi":"10.5036/mjiu.50.35","DOIUrl":"https://doi.org/10.5036/mjiu.50.35","url":null,"abstract":"In [8] Matsuda has investigated stability of a semistar operation. In this paper we extend the notion of stability of a semistar operation to the presemistar operation case and we shall study stability properties of presemistar operations.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"35 1","pages":"35-52"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73050402","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 gg-Cancellative Semistar Operation on an Integral Domain Need Not Be gh-Cancellative 积分域上的卵消半星运算不一定是高消半星
Mathematical Journal of Ibaraki University Pub Date : 2017-01-01 DOI: 10.1007/978-3-319-65874-2_15
Ryuki Matsuda
{"title":"A gg-Cancellative Semistar Operation on an Integral Domain Need Not Be gh-Cancellative","authors":"Ryuki Matsuda","doi":"10.1007/978-3-319-65874-2_15","DOIUrl":"https://doi.org/10.1007/978-3-319-65874-2_15","url":null,"abstract":"","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"2 1","pages":"299-305"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82056581","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
Some results on presemistar operations 关于星前操作的一些结果
Mathematical Journal of Ibaraki University Pub Date : 2017-01-01 DOI: 10.5036/MJIU.49.11
A. Okabe
{"title":"Some results on presemistar operations","authors":"A. Okabe","doi":"10.5036/MJIU.49.11","DOIUrl":"https://doi.org/10.5036/MJIU.49.11","url":null,"abstract":"In [O3], we introduced the notion of presemistar operation as a general-ization of the notion of semistar operation and gave some characterizations of presemistar operations. In this paper we shall give some new characterizations of presemistar operations. We also introduced the notion of an s.e.a.b. presemistar operation in [O3]. One of the main results of this paper is to show that there exists an example of a proper presemistar operation which is e.a.b. but is not s.e.a.b. . We also give two methods of construction which will provide many new examples of presemistar operations.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"119 1","pages":"11-22"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77089591","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
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