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Mathematical Journal of Ibaraki University最新文献

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Neighborhood conditions for the existence of ( g, f )-factors (g, f)-因子存在的邻域条件
Mathematical Journal of Ibaraki University Pub Date : 2004-05-01 DOI: 10.5036/MJIU.36.1
Haruhide Matsuda
{"title":"Neighborhood conditions for the existence of ( g, f )-factors","authors":"Haruhide Matsuda","doi":"10.5036/MJIU.36.1","DOIUrl":"https://doi.org/10.5036/MJIU.36.1","url":null,"abstract":"We obtain a sufficient condition for the existence of a (g, f)-factor in terms of vertex-deleted subgraphs. The following theorem is proved: Let G be a graph, k an even integer, g, f: V(G)→mathbb{Z} two functions such that g(x)≤f(x) for all x∈V(G), and {u0, u1, …, uk/2} the set of distinct vertices of G such that {u1, u2, …, uk/2}⊆NG(u0). If g(u0)≤k≤f(u0) and G-{ui} has a (g, f)-factor for all i=0, …, k/2, then G has a (g, f)-factor.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"20 1","pages":"1-4"},"PeriodicalIF":0.0,"publicationDate":"2004-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75883416","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
r-PVRs, r-APVRs and semistar operations r-PVRs, r-APVRs和半星型操作
Mathematical Journal of Ibaraki University Pub Date : 2004-01-01 DOI: 10.5036/MJIU.36.33
Ryuki Matsuda
{"title":"r-PVRs, r-APVRs and semistar operations","authors":"Ryuki Matsuda","doi":"10.5036/MJIU.36.33","DOIUrl":"https://doi.org/10.5036/MJIU.36.33","url":null,"abstract":"","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"7 1","pages":"33-43"},"PeriodicalIF":0.0,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80505219","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
Structures of flat piecewise Riemannian 2-polyhedra 平面分段黎曼2-多面体的结构
Mathematical Journal of Ibaraki University Pub Date : 2004-01-01 DOI: 10.5036/MJIU.36.57
Fumiko Ohtsuka
{"title":"Structures of flat piecewise Riemannian 2-polyhedra","authors":"Fumiko Ohtsuka","doi":"10.5036/MJIU.36.57","DOIUrl":"https://doi.org/10.5036/MJIU.36.57","url":null,"abstract":"The object of our research is a piecewise Riemannian 2-polyhedron which is a combinatorial 2-polyhedron such that each 2-simplex is isometric to a triangle bounded by three smooth curves on some Riemannian 2-manifold. In the previous paper [4], which is a joint work with J. Itoh, we have introduced the concept of total curvature for piecewise Riemannian 2-polyhedra and proved a generalized Gauss-Bonnet theorem and a generalized Cohn-Vossen theorem. In this paper, we shall give a definition of flatness of piecewise Riemannian 2-polyhedra and characterize them.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"14 1","pages":"57-64"},"PeriodicalIF":0.0,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76680322","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 generalized Dedekind domains 关于广义Dedekind域
Mathematical Journal of Ibaraki University Pub Date : 2004-01-01 DOI: 10.5036/MJIU.36.5
A. Okabe
{"title":"On generalized Dedekind domains","authors":"A. Okabe","doi":"10.5036/MJIU.36.5","DOIUrl":"https://doi.org/10.5036/MJIU.36.5","url":null,"abstract":"","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"76 1","pages":"5-23"},"PeriodicalIF":0.0,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88286008","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: 35
On amply strong semistar domains 在足够强的半星域上
Mathematical Journal of Ibaraki University Pub Date : 2004-01-01 DOI: 10.5036/MJIU.36.45
A. Okabe
{"title":"On amply strong semistar domains","authors":"A. Okabe","doi":"10.5036/MJIU.36.45","DOIUrl":"https://doi.org/10.5036/MJIU.36.45","url":null,"abstract":"","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"54 1","pages":"45-55"},"PeriodicalIF":0.0,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90115447","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 fine spectrum of the Cesàro operator in c0 0中Cesàro算子的精细谱
Mathematical Journal of Ibaraki University Pub Date : 2004-01-01 DOI: 10.5036/MJIU.36.25
A. Akhmedov, F. Başar
{"title":"On the fine spectrum of the Cesàro operator in c0","authors":"A. Akhmedov, F. Başar","doi":"10.5036/MJIU.36.25","DOIUrl":"https://doi.org/10.5036/MJIU.36.25","url":null,"abstract":"In the present paper, the fine spectrum of the Cesaro operator in the sequence space c0 has been examined. Although the discussion is made for determination of the spectrum of the Cesaro operator in the sequence space c0 by Reade (14) and the others, our consequences are more refinement and include a remark concerning with the previous works. Further, a Mercerian theorem has also been given. Finally, the fine spectrum of the Cesaro operator in the sequence space c has been given, without proof.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"19 1","pages":"25-32"},"PeriodicalIF":0.0,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81120147","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: 50
Caloric morphisms with respect to radial metrics on mathbb{R}nbachslash{0} mathbb{R}nbachslash{0}上关于径向度量的热态射
Mathematical Journal of Ibaraki University Pub Date : 2003-01-01 DOI: 10.5036/MJIU.35.35
Katsunori Shimomura
{"title":"Caloric morphisms with respect to radial metrics on mathbb{R}nbachslash{0}","authors":"Katsunori Shimomura","doi":"10.5036/MJIU.35.35","DOIUrl":"https://doi.org/10.5036/MJIU.35.35","url":null,"abstract":"","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"49 1","pages":"35-53"},"PeriodicalIF":0.0,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76481050","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 dual of an ideal of a g-monoid 关于g-单形理想的对偶
Mathematical Journal of Ibaraki University Pub Date : 2003-01-01 DOI: 10.5036/MJIU.35.1
A. Okabe
{"title":"On the dual of an ideal of a g-monoid","authors":"A. Okabe","doi":"10.5036/MJIU.35.1","DOIUrl":"https://doi.org/10.5036/MJIU.35.1","url":null,"abstract":"~on S×S by (s1,t1)~(s2,t2) if s1+t2=s2+t1. We denote the equivalence class of (s,t) under~by s-t. Let G={s-t|s,t∈S}be the set of equivalence classes. Then G is a monoid with identity 0=s-s with each s∈S under the additive operation (s1-t1)+(s2-t2)=(s1+s2)-(t1+t2). Furthermore, each element s-t of G has the converse t-s and then G is a torsion-free Abelian group. Evidently S is a submonoid of the group G. The group G is called the quotient group of S. The quotient group of a monoid S is often denoted by q(S). Let S be a g-monoid with quotient group G. A subset I of G is called a fractional ideal of S if S+I⊆I and s+I⊆S for some element s∈S. A subset I of S is called an integral ideal of S if I+S⊆I. We shall denote the set of fractional ideals of S by F(S). For each element x of G, the set x+S={x+s|s∈S} is a fractional ideal of S and is called a principal ideal of S. The principal ideal x+S is simply denoted by (x).","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"27 1","pages":"1-9"},"PeriodicalIF":0.0,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78033297","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 the unicity of immediate maximal extensions of valued fields 论值域的直接极大扩展的唯一性
Mathematical Journal of Ibaraki University Pub Date : 2003-01-01 DOI: 10.5036/MJIU.35.29
M. Vâjâitu, A. Zaharescu
{"title":"On the unicity of immediate maximal extensions of valued fields","authors":"M. Vâjâitu, A. Zaharescu","doi":"10.5036/MJIU.35.29","DOIUrl":"https://doi.org/10.5036/MJIU.35.29","url":null,"abstract":"In this paper we present some results concerned with the problem of the unicity of immediate maximal extensions of a valued field.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"91 1","pages":"29-33"},"PeriodicalIF":0.0,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81607872","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
Semistar operations on conductive domains 导电域上的半星型运算
Mathematical Journal of Ibaraki University Pub Date : 2003-01-01 DOI: 10.5036/MJIU.35.11
A. Okabe
{"title":"Semistar operations on conductive domains","authors":"A. Okabe","doi":"10.5036/MJIU.35.11","DOIUrl":"https://doi.org/10.5036/MJIU.35.11","url":null,"abstract":"(S3)E⊆E★ and (E★)★=E★. We shall denote the set of semistar operations (resp. the set of star operations) on D by SStar (D) (resp. Star (D)) as in [5]. The main purpose of this paper is to investigate semistar operations on conducive domains. We also study the number of semistar operations. We shall denote the cardinality of a set X by |X| and the symbol⊂means \"proper inclusion\" . Throughout this paper, D denotes an integral domain with quotient field K and D the integral closure of D. Furthermore we always assume D≠K. Any unexplained terminology is standard, as in [7].","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"12 1","pages":"11-19"},"PeriodicalIF":0.0,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83160116","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
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