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Hochschild cohomology of a class of weakly symmetric algebras with radical cube zero 一类具有根立方零的弱对称代数的Hochschild上同调
SUT Journal of Mathematics Pub Date : 2012-06-01 DOI: 10.55937/sut/1358521958
T. Furuya, Daiki Obara
{"title":"Hochschild cohomology of a class of weakly symmetric algebras with radical cube zero","authors":"T. Furuya, Daiki Obara","doi":"10.55937/sut/1358521958","DOIUrl":"https://doi.org/10.55937/sut/1358521958","url":null,"abstract":"In this paper we provide an explicit minimal projective bimodule resolution for some weakly symmetric algebras with radical cube zero. Then by using this resolution we compute the dimension of its Hochschild cohomology groups. AMS 2010 Mathematics Subject Classication. 16D50, 16E40, 18G05.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"85 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88945410","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
3-product cordial labeling 三品亲切标示
SUT Journal of Mathematics Pub Date : 2012-06-01 DOI: 10.55937/sut/1360240564
P. Jeyanthi, A. Maheswari
{"title":"3-product cordial labeling","authors":"P. Jeyanthi, A. Maheswari","doi":"10.55937/sut/1360240564","DOIUrl":"https://doi.org/10.55937/sut/1360240564","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86978110","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
Decomposition of symmetric multivariate density function 对称多元密度函数的分解
SUT Journal of Mathematics Pub Date : 2012-06-01 DOI: 10.55937/sut/1360240217
Kiyotaka Iki, Kouji Tahata, S. Tomizawa
{"title":"Decomposition of symmetric multivariate density function","authors":"Kiyotaka Iki, Kouji Tahata, S. Tomizawa","doi":"10.55937/sut/1360240217","DOIUrl":"https://doi.org/10.55937/sut/1360240217","url":null,"abstract":"For a T-variate density function, the present article denes the quasi-symmetry of order k (< T) and the marginal symmetry of order k, and gives the theorem that the density function is T-variate permutation symmetric if and only if it is quasi-symmetric and marginal symmetric of order k. The theorem is illustrated for the multivariate normal density function. AMS 2010 Mathematics Subject Classication. 62H17.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"57 2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86967810","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
3-dimensional quasi-Sasakian manifolds and Ricci solitons 三维拟sasaki流形与Ricci孤子
SUT Journal of Mathematics Pub Date : 2012-01-01 DOI: 10.55937/sut/1342636147
U. De, A. Mondal
{"title":"3-dimensional quasi-Sasakian manifolds and Ricci solitons","authors":"U. De, A. Mondal","doi":"10.55937/sut/1342636147","DOIUrl":"https://doi.org/10.55937/sut/1342636147","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"79 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90682078","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
Super (a,d)-edge antimagic total labeling of some classes of graphs 几类图的超(a,d)边反幻全标记
SUT Journal of Mathematics Pub Date : 2012-01-01 DOI: 10.55937/sut/1343931268
P. R. L. Pushpam, A. Saibulla
{"title":"Super (a,d)-edge antimagic total labeling of some classes of graphs","authors":"P. R. L. Pushpam, A. Saibulla","doi":"10.55937/sut/1343931268","DOIUrl":"https://doi.org/10.55937/sut/1343931268","url":null,"abstract":"A graph G(V, E) is (a, d)-edge antimagic total if there exists a bijection f : V (G) ∪ E(G) → {1, 2, . . . , |V (G)| + |E(G)|} such that the edge- weights Λ(uv) = f (u)+f (uv)+f (v), uv ∈ E(G) form an arithmetic progression with first term a and common difference d. It is said to be a super (a, d)-edge antimagic total if f (V (G)) = {1, 2, . . . , |V (G)|}. In this paper, we have obtained a relation between a super (a, 0)-edge antimagic total labeling and a super (a, 2)- edge antimagic total labeling of any graph. Also we study the super (a, d)-edge antimagic total labeling of fan graphs and two special classes of star graphs namely bi-star and extended bi-star. AMS 2010 Mathematics Subject Classification. 05C78.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79204617","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: 9
Constrained linear discriminant rule via the Studentized classification statistic based on monotone missing data 基于单调缺失数据的学生化分类统计约束线性判别规则
SUT Journal of Mathematics Pub Date : 2012-01-01 DOI: 10.55937/sut/1345734342
Nobumichi Shutoh, Masashi Hyodo, T. Pavlenko, T. Seo
{"title":"Constrained linear discriminant rule via the Studentized classification statistic based on monotone missing data","authors":"Nobumichi Shutoh, Masashi Hyodo, T. Pavlenko, T. Seo","doi":"10.55937/sut/1345734342","DOIUrl":"https://doi.org/10.55937/sut/1345734342","url":null,"abstract":"This paper provides an asymptotic expansion for the distribution of the Studentized linear discriminant function with k-step monotone missing training data. It turns out to be a certain generalization of the results derived by Anderson [1] and Shutoh and Seo [12]. Furthermore we also derive the cutoff point constrained by a conditional probability of misclassification using the idea of McLachlan [8]. Finally we perform Monte Carlo simulation to evaluate our results.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76836164","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
Tests for mean vector with two-step monotone missing data 两步单调缺失数据下均值向量的检验
SUT Journal of Mathematics Pub Date : 2012-01-01 DOI: 10.55937/sut/1349050821
Noriko Seko, Akiko Yamazaki, T. Seo
{"title":"Tests for mean vector with two-step monotone missing data","authors":"Noriko Seko, Akiko Yamazaki, T. Seo","doi":"10.55937/sut/1349050821","DOIUrl":"https://doi.org/10.55937/sut/1349050821","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"53 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78726541","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: 15
Multivariate normality test using Srivastava’s skewness and kurtosis 使用Srivastava偏度和峰度进行多元正态性检验
SUT Journal of Mathematics Pub Date : 2012-01-01 DOI: 10.55937/sut/1342636495
R. Enomoto, Naoya Okamoto, T. Seo
{"title":"Multivariate normality test using Srivastava’s skewness and kurtosis","authors":"R. Enomoto, Naoya Okamoto, T. Seo","doi":"10.55937/sut/1342636495","DOIUrl":"https://doi.org/10.55937/sut/1342636495","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"77 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73089950","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: 6
Note on asymptotic null distributions of LR statistics for testing covariance matrix under growth curve model when the number of the observation points is large 当观察点数量较大时，生长曲线模型下检验协方差矩阵LR统计量的渐近零分布的注意
SUT Journal of Mathematics Pub Date : 2012-01-01 DOI: 10.55937/sut/1342635414
Takayuki Yamada
{"title":"Note on asymptotic null distributions of LR statistics for testing covariance matrix under growth curve model when the number of the observation points is large","authors":"Takayuki Yamada","doi":"10.55937/sut/1342635414","DOIUrl":"https://doi.org/10.55937/sut/1342635414","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"36 6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80168821","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
Polynomial realization of sequential codes over finite fields 有限域上序列码的多项式实现
SUT Journal of Mathematics Pub Date : 2012-01-01 DOI: 10.55937/sut/1342635577
M. Matsuoka
{"title":"Polynomial realization of sequential codes over finite fields","authors":"M. Matsuoka","doi":"10.55937/sut/1342635577","DOIUrl":"https://doi.org/10.55937/sut/1342635577","url":null,"abstract":"In this paper we study the relation between polycyclic codes and sequential codes over finite fields. It is shown that, for a sequential code C ⊆ F, C is realized as an ideal in the quotient ring of the polynomial ring. Furthermore, we characterize the dual codes of polycyclic codes. AMS 2010 Mathematics Subject Classification. Primary 94B60; Secondary 94B15, 16D25.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81407878","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
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