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CENTRALIZING AND COMMUTING LEFT GENERALIZED DERIVATIONS ON PRIME RINGS 素环上的左广义导数的集中与交换
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-02-02 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.11.1
C. J. Reddy, S. Rao, V. Kumar
{"title":"CENTRALIZING AND COMMUTING LEFT GENERALIZED DERIVATIONS ON PRIME RINGS","authors":"C. J. Reddy, S. Rao, V. Kumar","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.11.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.11.1","url":null,"abstract":"Let R be a prime ring and d a derivation on. R If ƒ is a left generalized derivation on R such that f is centralizing on a left ideal U of R , then R is commutative.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"117 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123049761","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 SOME MULTIDIMENSIONAL FRACTIONAL INTEGRAL OPERATORS INVOLVING MULTIVARIABLE I-FUNCTION 涉及多变量i函数的多维分数阶积分算子
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-02-02 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.11.12
Yashwant Singh, Nanda Kulkarni
{"title":"ON SOME MULTIDIMENSIONAL FRACTIONAL INTEGRAL OPERATORS INVOLVING MULTIVARIABLE I-FUNCTION","authors":"Yashwant Singh, Nanda Kulkarni","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.11.12","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.11.12","url":null,"abstract":"In the present paper, we study certain multidimensional fractional integral operators involving a general I-function in their kernel. We give five basic properties of these operators, and then establish two theorems and two corollaries, which are believed to be new. These basic theorems exhibit structural relationships between the multidimensional integral transforms. The one-and –two –dimensional analogues of these results, which are new and of interest in themselves, can easily be deduced. Special cases of these latter theorems will give rise to certain known results obtained from time to time by several earlier authors.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124822727","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
GRACEFUL LABELING FOR DISCONNECTED GRID RELATED GRAPHS 断开网格相关图的优雅标记
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-02-02 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.11.6
V. J. Kaneria, H. M. Makadia, R. Viradia
{"title":"GRACEFUL LABELING FOR DISCONNECTED GRID RELATED GRAPHS","authors":"V. J. Kaneria, H. M. Makadia, R. Viradia","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.11.6","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.11.6","url":null,"abstract":"In this paper we have proved that union of three grid graphs, and union of finite copies of a grid graph are graceful. We have also given two graceful labeling functions to the grid graph .","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122091064","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
Index Summability of an Infinite Series Using δ-Quasi Monotone Sequence 利用δ-拟单调序列的无穷级数的指数可和性
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-02-02 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.11.21
M. Misra, B. Padhy, S. Nayak, U. Misra
{"title":"Index Summability of an Infinite Series Using δ-Quasi Monotone Sequence","authors":"M. Misra, B. Padhy, S. Nayak, U. Misra","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.11.21","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.11.21","url":null,"abstract":"A result concerning absolute indexed Summability factor of an infinite series using  - Quasi monotone sequence has been established.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"130 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116895846","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
Bivariate Stochastic Modelling of Glucose and Insulin Regulatory System among Type -2 Diabetes Mellitus Patients 2型糖尿病患者葡萄糖和胰岛素调节系统的双变量随机模型
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-02-02 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.11.30
K. Paidipati, Tirupathi Rao Padi
{"title":"Bivariate Stochastic Modelling of Glucose and Insulin Regulatory System among Type -2 Diabetes Mellitus Patients","authors":"K. Paidipati, Tirupathi Rao Padi","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.11.30","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.11.30","url":null,"abstract":"In this paper, a bivariate stochastic model for glucose and insulin regulatory system is developed. Difference Differential equations are derived from the processes of arrival and consumption of glucose molecules and insulin granules in blood plasma. Probability generating functions and linear differential equations are obtained, through which statistical measures on glucose and insulin levels are derived. Numerical illustrations are provided with suitable sensitivity analysis. Model behaviour is analyzed while using the derived measures. Indicators on health care and management of Type-2 Diabetes can be obtained with this study.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"188 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133304300","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
The Proof of the Fermat-Beal Theorem 费马-比尔定理的证明
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-02-01 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.11.4
Leszek W. Guła
{"title":"The Proof of the Fermat-Beal Theorem","authors":"Leszek W. Guła","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.11.4","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.11.4","url":null,"abstract":"It is easy to see that if then either are co-prime or, if not co-prime that any common factor could be divided out of each term until the equation existed with co-prime bases. (Co-prime is synonymous with pairwise relatively prime and means that in a given set of numbers, no two of the numbers share a common factor). You could then restate FLT by saying that is impossible with co-prime bases. (Yes, it is also impossible without co-prime bases, but non co-prime bases can only exist as a consequence of co-prime bases). II. THE FERMAT-BEAL THEOREM For all the equation","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"308 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124286554","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
Blow-up phenomena and global existence to a weakly dissipative shallow water equation 弱耗散浅水方程的爆破现象和整体存在性
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-12-01 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.12.10
Jiangbo Zhou, Jun De Chen, Wen Zhang
{"title":"Blow-up phenomena and global existence to a weakly dissipative shallow water equation","authors":"Jiangbo Zhou, Jun De Chen, Wen Zhang","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.12.10","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.12.10","url":null,"abstract":"We first establish the local well-posedness for a weakly dissipative shallow water equation which includes both the weakly dissipative Camassa-Holm equation and the weakly dissipative Degasperis-Procesi equation as its special cases. Then two blow-up results are derived for certain initial profiles. Finally, We study the long time behavior of the solutions.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126072490","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
An Elementary Proof of Fermat-Wiles Theorem and Generalization to Beal Conjecture 费马-怀尔斯定理的初等证明及对贝尔猜想的推广
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-12-01 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.12.4
J. Ghanouchi
{"title":"An Elementary Proof of Fermat-Wiles Theorem and Generalization to Beal Conjecture","authors":"J. Ghanouchi","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.12.4","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.12.4","url":null,"abstract":"A proof of Fermat theorem is presented and a generalization to Beal conjecture is proposed. For this, we begin with Fermat and Fermat-Catalan equations and solve them. n y xz x a z  Let 22 2 2 nn x yy x Aa   If 44 0 nn Ax y    but (, ) 1 4 GCD x y n","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131548379","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
An Exact Solution of modified KdV (mKdV) Equation as a reduction of Self-Dual Yang-Mills theory 作为自对偶Yang-Mills理论的修正KdV (mKdV)方程的精确解
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-12-01 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.12.1
V. Christianto
{"title":"An Exact Solution of modified KdV (mKdV) Equation as a reduction of Self-Dual Yang-Mills theory","authors":"V. Christianto","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.12.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.12.1","url":null,"abstract":"It is known for quite a long time that Self-Dual Yang Mills (SDYM) theory reduce to KortewegDeVries equation, but recently Shehata and Alzaidy have proved that SDYM reduces to modified KdV equation. Therefore, this paper discusses an exact solution of modified KortewegDeVries equation with Mathematica. An implication of the proposed solution is that it is possible to consider hadrons as (a set of) KdV soliton.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130743768","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
The Proof of the Beal’s Conjecture 比尔猜想的证明
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-12-01 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.12.21
Leszek W. Guła
{"title":"The Proof of the Beal’s Conjecture","authors":"Leszek W. Guła","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.12.21","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.12.21","url":null,"abstract":"The cover of this issue of the Bulletin is the frontispiece to a volume of Samuel de Fermat's 1670 edition of Bachet's Latin translation of Diophantus’s Arithmetica. This edition includes the marginalia of the editor's father, Pierre de Fermat. Among these notes one finds the elder Fermat's extraordinary comment in connection with the Pythagorean equation the marginal comment that hints at the existence of a proof (a demonstratio sane mirabilis) of what has come to be known as Fermat's Last Theorem. Diophantus's work had fired the imagination of the Italian Renaissance mathematician Rafael Bombelli, as it inspired Fermat a century later.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131900067","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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