Arab Journal of Mathematical Sciences最新文献_第4页

When is (D, K) an S-accr pair? (D, K)何时是S-accr对?

Arab Journal of Mathematical Sciences Pub Date : 2021-10-29 DOI: 10.1108/ajms-07-2021-0158

S. Visweswaran

{"title":"When is (D, K) an S-accr pair?","authors":"S. Visweswaran","doi":"10.1108/ajms-07-2021-0158","DOIUrl":"https://doi.org/10.1108/ajms-07-2021-0158","url":null,"abstract":"PurposeThe purpose of this article is to determine necessary and sufficient conditions in order that (D, K) to be an S-accr pair, where D is an integral domain and K is a field which contains D as a subring and S is a multiplicatively closed subset of D.Design/methodology/approachThe methods used are from the topic multiplicative ideal theory from commutative ring theory.FindingsLet S be a strongly multiplicatively closed subset of an integral domain D such that the ring of fractions of D with respect to S is not a field. Then it is shown that (D, K) is an S-accr pair if and only if K is algebraic over D and the integral closure of the ring of fractions of D with respect to S in K is a one-dimensional Prüfer domain. Let D, S, K be as above. If each intermediate domain between D and K satisfies S-strong accr*, then it is shown that K is algebraic over D and the integral closure of the ring of fractions of D with respect to S is a Dedekind domain; the separable degree of K over F is finite and K has finite exponent over F, where F is the quotient field of D.Originality/valueMotivated by the work of some researchers on S-accr, the concept of S-strong accr* is introduced and we determine some necessary conditions in order that (D, K) to be an S-strong accr* pair. This study helps us to understand the behaviour of the rings between D and K.","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46181863","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

Solvability of nonlinear fractional integro-differential equation with nonlocal condition 非局部条件下非线性分数阶积分微分方程的可解性

Arab Journal of Mathematical Sciences Pub Date : 2021-10-14 DOI: 10.1108/ajms-05-2021-0109

Sakhri Aicha, A. Merad

{"title":"Solvability of nonlinear fractional integro-differential equation with nonlocal condition","authors":"Sakhri Aicha, A. Merad","doi":"10.1108/ajms-05-2021-0109","DOIUrl":"https://doi.org/10.1108/ajms-05-2021-0109","url":null,"abstract":"PurposeThis study describes the applicability of the a priori estimate method on a nonlocal nonlinear fractional differential equation for which the weak solution's existence and uniqueness are proved. The authors divide the proof into two sections for the linear associated problem; the authors derive the a priori bound and demonstrate the operator range density that is generated. The authors solve the nonlinear problem by introducing an iterative process depending on the preceding results.Design/methodology/approachThe functional analysis method is the a priori estimate method or energy inequality method.FindingsThe results show the efficiency of a priori estimate method in the case of time-fractional order differential equations with nonlocal conditions. Our results also illustrate the existence and uniqueness of the continuous dependence of solutions on fractional order differential equations with nonlocal conditions.Research limitations/implicationsThe authors’ work can be considered a contribution to the development of the functional analysis method that is used to prove well-positioned problems with fractional order.Originality/valueThe authors confirm that this work is original and has not been published elsewhere, nor is it currently under consideration for publication elsewhere.","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41728408","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

Clairaut anti-invariant submersions from Lorentzian trans-Sasakian manifolds 洛伦兹反Sasaki流形的Clairaut反不变淹没

Arab Journal of Mathematical Sciences Pub Date : 2021-10-07 DOI: 10.1108/ajms-05-2021-0106

M. Siddiqi, Shudhakar Kumar Chaubey, A. Siddiqui

{"title":"Clairaut anti-invariant submersions from Lorentzian trans-Sasakian manifolds","authors":"M. Siddiqi, Shudhakar Kumar Chaubey, A. Siddiqui","doi":"10.1108/ajms-05-2021-0106","DOIUrl":"https://doi.org/10.1108/ajms-05-2021-0106","url":null,"abstract":"PurposeThe central idea of this research article is to examine the characteristics of Clairaut submersions from Lorentzian trans-Sasakian manifolds of type (α, β) and also, to enhance this geometrical analysis with some specific cases, namely Clairaut submersion from Lorentzian α-Sasakian manifold, Lorentzian β-Kenmotsu manifold and Lorentzian cosymplectic manifold. Furthermore, the authors discuss some results about Clairaut Lagrangian submersions whose total space is a Lorentzian trans-Sasakian manifolds of type (α, β). Finally, the authors furnished some examples based on this study.Design/methodology/approachThis research discourse based on classifications of submersion, mainly Clairaut submersions, whose total manifolds is Lorentzian trans-Sasakian manifolds and its all classes like Lorentzian Sasakian, Lorenztian Kenmotsu and Lorentzian cosymplectic manifolds. In addition, the authors have explored some axioms of Clairaut Lorentzian submersions and illustrates our findings with some non-trivial examples.FindingsThe major finding of this study is to exhibit a necessary and sufficient condition for a submersions to be a Clairaut submersions and also find a condition for Clairaut Lagrangian submersions from Lorentzian trans-Sasakian manifolds.Originality/valueThe results and examples of the present manuscript are original. In addition, more general results with fair value and supportive examples are provided.","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45353726","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

Bi-slant submanifolds of an S manifold S流形的双斜子流形

Arab Journal of Mathematical Sciences Pub Date : 2021-09-17 DOI: 10.1108/ajms-04-2021-0073

Aykut Akgün, M. Gülbahar

引用次数: 0

Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group H3 三维Lorentz Heisenberg群H3中类空平移面的分类

Arab Journal of Mathematical Sciences Pub Date : 2021-09-10 DOI: 10.1108/ajms-03-2021-0071

Rafik Medjati, H. Zoubir, Brahim Medjahdi

{"title":"Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group H3","authors":"Rafik Medjati, H. Zoubir, Brahim Medjahdi","doi":"10.1108/ajms-03-2021-0071","DOIUrl":"https://doi.org/10.1108/ajms-03-2021-0071","url":null,"abstract":"PurposeIn the Lorentz Heisenberg space H3 endowed with flat metric g3, a translation surface is parametrized by r(x, y) = γ1(x)*γ2(y), where γ1 and γ2 are two planar curves lying in planes, which are not orthogonal. In this article, we classify translation surfaces in H3, which satisfy some algebraic equations in terms of the coordinate functions and the Laplacian operator with respect to the first fundamental form of the surface.Design/methodology/approachIn this paper, we classify some type of space-like translation surfaces of H3 endowed with flat metric g3 under the conditionΔri = λiri. We will develop the system which describes surfaces of type finite in H3. For solve the system thus obtained, we will use the calculation variational. Finally, we will try to give performances geometric surfaces that meet the condition imposed.FindingsClassification of six types of translation surfaces of finite type in the three-dimensional Lorentz Heisenberg group H3.Originality/valueThe subject of this paper lies at the border of geometry differential and spectral analysis on manifolds. Historically, the first research on the study of sub-finite type varieties began around the 1970 by B.Y.Chen. The idea was to find a better estimate of the mean total curvature of a compact subvariety of a Euclidean space. In fact, the notion of finite type subvariety is a natural extension of the notion of a minimal subvariety or surface, a notion directly linked to the calculation of variations. The goal of this work is the classification of surfaces in H3, in other words the surfaces which satisfy the condition/Delta (ri) = /Lambda (ri), such that the Laplacian is associated with the first, fundamental form.","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47928703","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

Multiplicity of solutions for the discrete boundary value problem involving the p-Laplacian 涉及p-拉普拉斯算子的离散边值问题解的多重性

Arab Journal of Mathematical Sciences Pub Date : 2021-08-20 DOI: 10.1108/ajms-02-2021-0050

A. E. Amrouss, O. Hammouti

引用次数: 2

On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space 各向异性Orlicz空间中若干非线性各向异性椭圆方程

Arab Journal of Mathematical Sciences Pub Date : 2021-08-18 DOI: 10.1108/ajms-12-2020-0133

O. Benslimane, A. Aberqi, J. Bennouna

引用次数: 12

Positive solution for the (p, q)-Laplacian systems by a new version of sub-super solution method （p，q）-拉普拉斯系统正解的一种新的亚超解法

Arab Journal of Mathematical Sciences Pub Date : 2021-08-17 DOI: 10.1108/ajms-03-2021-0060

M. Moussa, Abdelqoddous Moussa, Hatim Mazan

引用次数: 0

Weierstrass points on modular curves X0(N) fixed by the Atkin–Lehner involutions 由Atkin–Lehner对合固定的模曲线X0（N）上的Weierstrass点

Arab Journal of Mathematical Sciences Pub Date : 2021-08-12 DOI: 10.1108/ajms-01-2021-0001

Mustafa Bojakli, Hasan Sankari

引用次数: 0

Entire functions of restricted hyper-order sharing a set of two small functions IM with their linear c-shift operators 受限超阶的整函数与线性c移位算子共享一组两个小函数IM

Arab Journal of Mathematical Sciences Pub Date : 2021-08-10 DOI: 10.1108/ajms-10-2020-0099

A. Banerjee, Arpita Roy

引用次数: 0