发布求助
文献互助 智能选刊 最新文献

Gulf Journal of Mathematics最新文献

筛选
英文 中文
On the equation Π_P Φ_3(P) = Π_P P^2 over F_2[x] 方程Π_P Φ_3(P) = Π_P P^2 / F_2[x]
Gulf Journal of Mathematics Pub Date : 2022-03-15 DOI: 10.56947/gjom.v12i2.722
L. Gallardo
{"title":"On the equation Π_P Φ_3(P) = Π_P P^2 over F_2[x]","authors":"L. Gallardo","doi":"10.56947/gjom.v12i2.722","DOIUrl":"https://doi.org/10.56947/gjom.v12i2.722","url":null,"abstract":"We work a polynomial variant of an arithmetic problem solved by Steuerwald in 1937. More precisely, we prove, under a mild condition, that the equation on the title, has no solutions A := ΠP P2  ∈ F2[x], with irreducible P, and ω(A) < 16. Unconditionally, we prove that deg(P) ≥ 40. This improves on known results.  \u0000 ","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131110586","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
On minimal ring extensions of finite rings 有限环的极小环扩展
Gulf Journal of Mathematics Pub Date : 2022-03-06 DOI: 10.56947/gjom.v12i2.677
D. Dobbs
{"title":"On minimal ring extensions of finite rings","authors":"D. Dobbs","doi":"10.56947/gjom.v12i2.677","DOIUrl":"https://doi.org/10.56947/gjom.v12i2.677","url":null,"abstract":"Two conditions, (i) and (ii), are defined, that may hold for a given (unital) ring extension R ⊂ S of (unital, associative, not necessarily commutative) finite rings. It is shown that if S is commutative, then ``\"either (i) or (ii)” is a necessary and sufficient condition for R ⊂ S to be a minimal ring extension; and that for such extensions, (i) and (ii) are logically independent. For extensions with S (finite and) noncommutative, \"either (i) or (ii)” is neither necessary nor sufficient for R ⊂ S to be a minimal ring extension; and for such minimal ring extensions, (i) and (ii) are logically independent. Next, let R ⊂ Sj be minimal ring extensions with Sj  (finite and) commutative (for j=1,2) and R local. Then: S1 and S2 are the same type (that is, ramified, decomposed or inert) of minimal extension of R ↔ |Z(S_1)|=|Z(S_2)| ↔ |U(S_1)|=|U(S_2)|.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115738610","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
Solution of fractional kinetic equation for Hadamard type fractional integral via Mellin transform 用Mellin变换求解Hadamard型分数阶积分的分数阶动力学方程
Gulf Journal of Mathematics Pub Date : 2022-01-19 DOI: 10.56947/gjom.v12i1.781
Wagdi F. S. Ahmed, Ahmad Y. A. Salamooni, Dnyaneshwar D. Pawar
{"title":"Solution of fractional kinetic equation for Hadamard type fractional integral via Mellin transform","authors":"Wagdi F. S. Ahmed, Ahmad Y. A. Salamooni, Dnyaneshwar D. Pawar","doi":"10.56947/gjom.v12i1.781","DOIUrl":"https://doi.org/10.56947/gjom.v12i1.781","url":null,"abstract":"The aim of this paper is to introduce the generalized form of the fractional kinetic equation including Hadamard type fractional integral. We also present the solution of Kinetic equation including Hadamard type fractional integral with the help of generalized k-Wright function and Mellin transform. We also present the solution of Kinetic equation including Hadamard type fractional integral with the help of generalized Multindex Bessel Function and Mellin transform.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131319829","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
Common multiples of paths and stars with complete graphs 具有完全图的路径和星形的公共倍数
Gulf Journal of Mathematics Pub Date : 2022-01-15 DOI: 10.56947/gjom.v12i1.780
Reji Thankachan, Saritha A. Chandran
{"title":"Common multiples of paths and stars with complete graphs","authors":"Reji Thankachan, Saritha A. Chandran","doi":"10.56947/gjom.v12i1.780","DOIUrl":"https://doi.org/10.56947/gjom.v12i1.780","url":null,"abstract":"A graph G is a common multiple of two graphs H1 and H2 if there exists a decomposition of G into edge-disjoint copies of H1 and also a decomposition of G into edge-disjoint copies of H2. If G is a common multiple of H1 and H2 and G has q edges, then we call G a (q, H1, H2) graph. Our paper deals with the following question: ''Given two graphs H1 and H2, for which values of q does there exist a (q, H1, H2) graph?'' when H1 is either a path or a star with 3 or 4 edges and H2 is a complete graph.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"449 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123275159","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 collapsing sandpile problem with nonlocal boundary condition 具有非局部边界条件的崩塌沙堆问题
Gulf Journal of Mathematics Pub Date : 2022-01-14 DOI: 10.56947/gjom.v12i1.779
U. Traoré, E. Nassouri
{"title":"A collapsing sandpile problem with nonlocal boundary condition","authors":"U. Traoré, E. Nassouri","doi":"10.56947/gjom.v12i1.779","DOIUrl":"https://doi.org/10.56947/gjom.v12i1.779","url":null,"abstract":"In this work, we continue our study on the sandpile model proposed by Igbida. We are particularly interested in the study of avalanches that occur on the surface of a pile of sand following a drying out. The main novelty here is that we do a theoretical and numerical analysis in the case of local and non-local boundaries conditions. We also present some results of numerical simulations in 2D.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116823895","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
Refinement of the upper bound of the radius of a circular integral points set 圆积分点集半径上界的细化
Gulf Journal of Mathematics Pub Date : 2022-01-14 DOI: 10.56947/gjom.v12i1.774
Batzorig Undrakh, Ganbileg Bat-Ochir
{"title":"Refinement of the upper bound of the radius of a circular integral points set","authors":"Batzorig Undrakh, Ganbileg Bat-Ochir","doi":"10.56947/gjom.v12i1.774","DOIUrl":"https://doi.org/10.56947/gjom.v12i1.774","url":null,"abstract":"Let n be a product of the prime numbers whose positive integer powers are of the form a2+Db2 where D> 4 is a square-free number and a, b are positive integers. For n≤ 3072, we obtained a refinement of the upper bound of the radius of a circular points set which was previously given in Tables 1 and 2 of Ganbileg's paper. In order to prove this, we showed that there are points on the circle with the radius R=n √D/2D such that mutual distances between these points are all integers. Consequently, if n is a product of the prime numbers whose squares are of the form a2+Db2, then we showed that there are τ(n) points on the circle with the radius R=n √D/2D such that mutual distances between these points are all integer numbers, where τ(n) is the number of all positive divisors of n.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125155518","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
Abelian subgroup of O_4(Q) related to Ryser's conjecture 与Ryser猜想有关的O_4(Q)的Abelian子群
Gulf Journal of Mathematics Pub Date : 2022-01-14 DOI: 10.56947/gjom.v12i1.776
L. Gallardo
{"title":"Abelian subgroup of O_4(Q) related to Ryser's conjecture","authors":"L. Gallardo","doi":"10.56947/gjom.v12i1.776","DOIUrl":"https://doi.org/10.56947/gjom.v12i1.776","url":null,"abstract":"We characterize the group generated by the 4 × 4 circulant Hadamard matrices divided by 2.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"22 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120916086","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 uniqueness of renormalized solutions to nonlinear multivalued parabolic problem with homogeneous Dirichlet boundary conditions involving variable exponent 具有变指数齐次Dirichlet边界条件的非线性多值抛物型问题重整解的存在唯一性
Gulf Journal of Mathematics Pub Date : 2022-01-14 DOI: 10.56947/gjom.v12i1.778
B. A. Kyelem, Arouna Ouedraogo Zongo, F. Zongo
{"title":"Existence and uniqueness of renormalized solutions to nonlinear multivalued parabolic problem with homogeneous Dirichlet boundary conditions involving variable exponent","authors":"B. A. Kyelem, Arouna Ouedraogo Zongo, F. Zongo","doi":"10.56947/gjom.v12i1.778","DOIUrl":"https://doi.org/10.56947/gjom.v12i1.778","url":null,"abstract":"In this paper, we prove the existence and the uniqueness of renormalized solution to a nonlinear multivalued parabolic problem β(u)t - div a(x,∇ u) ∋ f , with homogeneous Dirichlet boundary conditions and L1-data. The functional setting involves Lebesgue and Sobolev spaces with variable exponent. Some a-priori estimates are used to obtain our results.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129864992","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 note on controllability of impulsive neutral stochastic functional differential equations driven by a Rosenblatt process in a Hilbert space Hilbert空间中由Rosenblatt过程驱动的脉冲中立型随机泛函微分方程的可控性
Gulf Journal of Mathematics Pub Date : 2022-01-14 DOI: 10.56947/gjom.v12i1.777
S. Hajji, E. Lakhel
{"title":"A note on controllability of impulsive neutral stochastic functional differential equations driven by a Rosenblatt process in a Hilbert space","authors":"S. Hajji, E. Lakhel","doi":"10.56947/gjom.v12i1.777","DOIUrl":"https://doi.org/10.56947/gjom.v12i1.777","url":null,"abstract":"In this paper we study the controllability results of impulsive neutral stochastic functional differential equations with variable delays driven by Rosenblatt process in a Hilbert space. The controllability results are obtained by the Banach fixed point theorem. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained result.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"21 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132287357","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
Invariant differential operators and the generalized symmetric group 不变微分算子与广义对称群
Gulf Journal of Mathematics Pub Date : 2021-11-10 DOI: 10.56947/gjom.v13i2.738
Ibrahim Nonkan'e, Latévi M. Lawson
{"title":"Invariant differential operators and the generalized symmetric group","authors":"Ibrahim Nonkan'e, Latévi M. Lawson","doi":"10.56947/gjom.v13i2.738","DOIUrl":"https://doi.org/10.56947/gjom.v13i2.738","url":null,"abstract":"In this paper we study the decomposition of the direct image of π+(OX) the polynomial ring OX as a D-module, under the map π: spec OX →spec OXG(r,n), where OXG(r,n) is the ring of invariant polynomial under the action of the wreath product G(r, p):= Z/rZ ~Sn. We first describe the generators of the simple components of π+(OX) and give their multiplicities. Using an equivalence of categories and the higher Specht polynomials, we describe a D-module decomposition of the polynomial ring localized at the discriminant of π. Furthermore, we study the action invariants, differential operators, on the higher Specht polynomials","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117188179","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信