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Rocky Mountain Journal of Mathematics最新文献

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ON UNICOHERENCE AND CONTRACTIBILITY OF HYPERSPACES OF NONMETRIZABLE CONTINUA 不可度量连续体超空间的单相干性和可缩性
4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.435
Luis Miguel García-Velázquez
{"title":"ON UNICOHERENCE AND CONTRACTIBILITY OF HYPERSPACES OF NONMETRIZABLE CONTINUA","authors":"Luis Miguel García-Velázquez","doi":"10.1216/rmj.2023.53.435","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.435","url":null,"abstract":"Let X be a Hausdorff continuum (a nondegenerate, compact, connected Hausdorff space). Let C(X) denote the hyperspace of its subcontinua, endowed with the Vietoris topology. We extend some results of the metric case about unicoherence and the existence of selections for C(X). We also introduce two definitions of contractibility of C(X) and discuss their relation with some properties of X. In particular, we show that both definitions are equivalent in the metrizable case, but one of them is more general in the Hausdorff continuum case.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135673148","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
FRACTIONAL HERMITE–HADAMARD INEQUALITY, SIMPSON’S AND OSTROWSKI’S TYPE INEQUALITIES FOR CONVEX FUNCTIONS WITH RESPECT TO A PAIR OF FUNCTIONS 凸函数关于一对函数的分数HERMITE-HADAMARD不等式、SIMPSON和OSTROWSKI型不等式
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.611
Jianqiang Xie, M. Ali, H. Budak, Michal Feckan, T. Sitthiwirattham
{"title":"FRACTIONAL HERMITE–HADAMARD INEQUALITY, SIMPSON’S AND OSTROWSKI’S TYPE INEQUALITIES FOR CONVEX FUNCTIONS WITH RESPECT TO A PAIR OF FUNCTIONS","authors":"Jianqiang Xie, M. Ali, H. Budak, Michal Feckan, T. Sitthiwirattham","doi":"10.1216/rmj.2023.53.611","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.611","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41738023","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
CONTINUITY ON A CLASS OF F-ALGEBRAS 一类f -代数的连续性
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.541
A. Naziri-Kordkandi
{"title":"CONTINUITY ON A CLASS OF F-ALGEBRAS","authors":"A. Naziri-Kordkandi","doi":"10.1216/rmj.2023.53.541","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.541","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47799503","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DENOMINATORS OF SPECIAL VALUES OF ζ-FUNCTIONS COUNT KU-LOCAL HOMOTOPY GROUPS OF MOD p MOORE SPECTRA ζ-函数的特殊值的分母计算MOD p摩尔谱的ku -局部同伦群
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-03-16 DOI: 10.1216/rmj.2023.53.915
A. Salch
{"title":"DENOMINATORS OF SPECIAL VALUES OF ζ-FUNCTIONS COUNT KU-LOCAL HOMOTOPY GROUPS OF MOD p MOORE SPECTRA","authors":"A. Salch","doi":"10.1216/rmj.2023.53.915","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.915","url":null,"abstract":"In this note, for each odd prime $p$, we show that the orders of the $KU$-local homotopy groups of the mod $p$ Moore spectrum are equal to denominators of special values of certain quotients of Dedekind zeta-functions of totally real number fields. With this observation in hand, we give a cute topological proof of the Leopoldt conjecture for those number fields, by showing that it is a consequence of periodicity properties of $KU$-local stable homotopy groups.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41427820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
ON A THEOREM OF ANDERSON AND CHUN 关于Anderson和chun的一个定理
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-02-01 DOI: 10.1216/rmj.2023.53.1
A. R. Aliabad, Farimah Farrokhpay, M. Siavoshi
{"title":"ON A THEOREM OF ANDERSON AND CHUN","authors":"A. R. Aliabad, Farimah Farrokhpay, M. Siavoshi","doi":"10.1216/rmj.2023.53.1","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1","url":null,"abstract":"A BSTRACT . A commutative ring R is called strongly regular associate if, for any a , b ∈ R , Ra = Rb implies that a = rb and sa = b for some regular elements r , s ∈ R . In this paper, we first give a characterization of strongly regular associate rings. A ring R is said to have regular range 1 if, for any a , b ∈ R , Ra + Rb = R implies that a + bx is a regular for some x ∈ R . We show that the ring of continuous functions C ( X ) is strongly regular associate if and only if it has regular range 1. Finally, we generalize a theorem of Anderson and Chun, which states that C ([ a , b ]) is a strongly regular associate ring.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43522279","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DERIVATIONS OF LOCAL k-TH HESSIAN ALGEBRAS OF SINGULARITIES 奇异点的局部k- h代数的导数
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-02-01 DOI: 10.1216/rmj.2023.53.65
Naveed Hussain, S. Yau, Huaiqing Zuo
{"title":"DERIVATIONS OF LOCAL k-TH HESSIAN ALGEBRAS OF SINGULARITIES","authors":"Naveed Hussain, S. Yau, Huaiqing Zuo","doi":"10.1216/rmj.2023.53.65","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.65","url":null,"abstract":"In our previous work, we introduced a series of new derivation Lie algebras Lk(V ) associated to an isolated hypersurface singularity (V, 0). These are new analytic invariants of singularities. In this article, on the one hand, we investigate L2(V ) for fewnomial isolated singularities and obtain the formula of λk(V ) (i.e., the dimension of Lk(V )) for trinomial singularities. Furthermore, we prove the sharp upper estimate conjecture for the L2(V ). This part is a continuous work of our previous work in [HYZ8]. On the other hand, we proposed two new conjectures for the τk(V ) and λk(V ) and we prove these conjectures for a large class of singularities.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41798187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ON SOLUTIONS OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS BASED ON ELASTIC TRANSFORMATION METHODS 基于弹性变换方法的变系数非线性常微分方程解
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-02-01 DOI: 10.1216/rmj.2023.53.299
P. Zheng, Ya-yong Tang, Shunchu Li, Xiao-xu Dong
{"title":"ON SOLUTIONS OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS BASED ON ELASTIC TRANSFORMATION METHODS","authors":"P. Zheng, Ya-yong Tang, Shunchu Li, Xiao-xu Dong","doi":"10.1216/rmj.2023.53.299","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.299","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42140289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
POST-QUANTUM HERMITE–JENSEN–MERCER INEQUALITIES 后量子hermite-jensen-mercer不等式
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-02-01 DOI: 10.1216/rmj.2023.53.17
M. Bohner, H. Budak, Hasan Kara
{"title":"POST-QUANTUM HERMITE–JENSEN–MERCER INEQUALITIES","authors":"M. Bohner, H. Budak, Hasan Kara","doi":"10.1216/rmj.2023.53.17","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.17","url":null,"abstract":". The Jensen–Mercer inequality, which is well known in the literature, has an important place in mathematics and related disciplines. In this work, we obtain the Hermite–Jensen–Mercer inequality for post-quantum integrals by utilizing Jensen–Mercer inequalities. Then we investigate the connections between our results and those in earlier works. Moreover, we give some examples to illustrate the main results in this paper. This is the first paper about Hermite–Jensen–Mercer inequalities for post-quantum integrals.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43476562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
ON NONMONOGENIC ALGEBRAIC NUMBER FIELDS 关于非单基因代数数域
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-02-01 DOI: 10.1216/rmj.2023.53.103
Anuj Jakhar
{"title":"ON NONMONOGENIC ALGEBRAIC NUMBER FIELDS","authors":"Anuj Jakhar","doi":"10.1216/rmj.2023.53.103","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.103","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47547264","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
THE 2-RANK OF THE REAL PURE QUARTIC NUMBER FIELD K=ℚ(pd24) 实纯四次数域K= π (pd24)的2秩
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-02-01 DOI: 10.1216/rmj.2023.53.27
Mbarek Haynou, B. Sodaïgui, M. Taous
{"title":"THE 2-RANK OF THE REAL PURE QUARTIC NUMBER FIELD K=ℚ(pd24)","authors":"Mbarek Haynou, B. Sodaïgui, M. Taous","doi":"10.1216/rmj.2023.53.27","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.27","url":null,"abstract":". In this paper, we consider the real pure quartic number field K = Q ( 4 (cid:112) pd 2 ) , where p is a prime number and d is a square-free positive integer such that d is prime to p . We compute r 2 ( K ) the 2 -rank of the class group of K and as an application we exhibit all possible forms of d for which the 2 -class group of K is trivial (equivalently: the class number of K is odd), cyclic or isomorphic to Z / 2 n 1 Z × Z / 2 n 2 Z , where n i ∈ N ∗ .","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42398445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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