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A novel generating functions of binary products of Gaussian (p, q)-numbers with trivariate Fibonacci polynomials 具有三元斐波那契多项式的高斯(p, q)数二元积的一种新的生成函数
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2023-01-01 DOI: 10.47743/anstim.2023.00008
Nabiha Saba, Ali Boussayoud, Baghdadi Aloui
{"title":"A novel generating functions of binary products of Gaussian (p, q)-numbers with trivariate Fibonacci polynomials","authors":"Nabiha Saba, Ali Boussayoud, Baghdadi Aloui","doi":"10.47743/anstim.2023.00008","DOIUrl":"https://doi.org/10.47743/anstim.2023.00008","url":null,"abstract":"In this paper, we give some new generating functions of the products of Gaussian ( p,q )-Fibonacci numbers, Gaussian ( p,q )-Lucas numbers, Gaussian ( p,q )-Pell numbers, Gaussian ( p,q )-Pell Lucas numbers and ( p,q )-modified Pell numbers with 2-orthogonal Chebyshev polynomials of the first kind and trivariate Fibonacci polynomials.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135101491","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 study of Jordan involution on prime rings involving derivations 涉及导数的素数环上的约当对合研究
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2023-01-01 DOI: 10.47743/anstim.2023.00007
Adnan Abbasi, Abdul Nadim Khan, Muzibur Rahman Mozumder
{"title":"A study of Jordan involution on prime rings involving derivations","authors":"Adnan Abbasi, Abdul Nadim Khan, Muzibur Rahman Mozumder","doi":"10.47743/anstim.2023.00007","DOIUrl":"https://doi.org/10.47743/anstim.2023.00007","url":null,"abstract":"In this manuscript, we discuss the concept of Jordan involution θ on rings. Moreover, we describe the structure of rings which satisfies some θ -differential identities. Few other related results have also been discussed.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"134 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135101498","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
Some results on generalized quaternions algebra with generalized Fibonacci quaternions 广义Fibonacci四元数代数的一些结果
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2023-01-01 DOI: 10.47743/anstim.2023.00015
Rachid Chaker, Abdelkarim Boua
{"title":"Some results on generalized quaternions algebra with generalized Fibonacci quaternions","authors":"Rachid Chaker, Abdelkarim Boua","doi":"10.47743/anstim.2023.00015","DOIUrl":"https://doi.org/10.47743/anstim.2023.00015","url":null,"abstract":"Recently, the most general form of the quaternion algebra on 3 parameters (3PGQ) has been introduced, which prompted us to look for some properties associated with this algebra, which will be called k λ 1 ,λ 2 ,λ 3 in this article. This paper consists of two main parts: the first part focuses on derivations, while the second part deals with the Fi-bonacci sequence, and the properties of both parts are related to the algebra k λ 1 ,λ 2 ,λ 3 . First we determine the derivations of the algebra k λ 1 ,λ 2 ,λ 3 and get the algebra Der( k λ 1 ,λ 2 ,λ 3 ) of derivations of k λ 1 ,λ 2 ,λ 3 . Then we were able to obtain generalized derivations that have been studied by mathematicians in the context of algebras of certain normed spaces, and semi-prime and prime rings. In the second part, we introduce some properties of the Fi-bonacci quaternions in the generalized quaternion algebra k λ 1 ,λ 2 ,λ 3 , which allow us to assume that the algebra k λ 1 ,λ 2 ,λ 3 is not always a division algebra.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135101503","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
Some Lk-biconservative Lorentzian hypersurfaces in Minkowski 5-space Minkowski 5-空间中的一些lk -双保守洛伦兹超曲面
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2023-01-01 DOI: 10.47743/anstim.2023.00001
Firooz Pashaie
{"title":"Some Lk-biconservative Lorentzian hypersurfaces in Minkowski 5-space","authors":"Firooz Pashaie","doi":"10.47743/anstim.2023.00001","DOIUrl":"https://doi.org/10.47743/anstim.2023.00001","url":null,"abstract":"A Lorentzian hypersurface M 41 of Minkowski 5 − space (i.e. E 51 ), defined by an isometric immersion x : M 41 → E 51 , is said to be L k -biconservative if the tangent component of L 2 k x is identically zero, where L k is the k th extension of Laplace operator ∆ = L 0 . The operator L k is the linearized operator arisen from the first variation of ( k + 1)th mean curvature vector field on M 41 . This subject is motivated by a well-known conjecture of Bang-Yen Chen which says that the condition ∆ 2 x = 0 implies the minimality for submanifolds of Euclidean spaces. In this paper, we study L k -biconservative Lorentzian hypersurfaces of E 51 in four different cases based on the matrix representation forms of the shape operator. We show that if such a hypersurface has constant mean curvature and at most two distinct principal curvatures, then its ( k + 1)th mean curvature is constant.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135101515","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 inclusion ideal graph of a semigroup 半群的包含理想图
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2023-01-01 DOI: 10.47743/anstim.2023.00013
Biswaranjan Khanra, Manasi Mandal
{"title":"The inclusion ideal graph of a semigroup","authors":"Biswaranjan Khanra, Manasi Mandal","doi":"10.47743/anstim.2023.00013","DOIUrl":"https://doi.org/10.47743/anstim.2023.00013","url":null,"abstract":"In this article, we consider the inclusion ideal graph In ( S ) of nontrivial right ideals of a semigroup S with zero element. We characterize a semigroup S for which the graph In ( S ) is complete, connected and also find various graph parameters of In ( S ). We determine the values of n for which the graph In ( Z n ) is complete, triangulated, split, unicyclic, thresold and also study minimal embedding of In ( Z n ) into compact orientable (resp. non-orientable) surface. We give both upper and lower bouds for metric and partition dimension of inclusion ideal graph of a completely 0-simple semigroup. Finally, we compute some graph parameters of the cartesian product of inclusion ideal graph of two monoids.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"103 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135101494","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 quasi-static adhesive contact of a membrane with damage 有损伤的膜的准静态粘接接触
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2023-01-01 DOI: 10.47743/anstim.2023.00016
Laldja Benziane, Nemira Lebri
{"title":"A quasi-static adhesive contact of a membrane with damage","authors":"Laldja Benziane, Nemira Lebri","doi":"10.47743/anstim.2023.00016","DOIUrl":"https://doi.org/10.47743/anstim.2023.00016","url":null,"abstract":"This work presents a quasi-static model for adhesive contact between an elastic membrane with damage and a rigid obstacle that lies beneath it. The model consists of an elliptic variational inequality for the membrane displacements, a nonlinear ordinary differential equation for the evolution of the adhesion field and a parabolic variational inequality for the damage field. By using regularity results from the theory of elliptic variational inequalities and a fixed point argument, the system is shown to have a unique weak solution.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135101516","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
On Lie ideals with left derivationsin 3-prime near-rings 关于3素数近环左导李理想
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00009
A. En-guady, A. Boua
{"title":"On Lie ideals with left derivationsin 3-prime near-rings","authors":"A. En-guady, A. Boua","doi":"10.47743/anstim.2022.00009","DOIUrl":"https://doi.org/10.47743/anstim.2022.00009","url":null,"abstract":"In this paper we improve on our recent results found by using derivations. The new results use the left derivations to relate commutativity of the addition to the commutativity of the whole ring, and only hold for 3-prime-rings. The hypotheses are justified by some examples.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890648","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
Multiplicative Lie skew derivations on triangular algebras 三角代数上的乘法李偏导
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00011
M. Ashraf, A. Jabeen, Musheer Ahmad
{"title":"Multiplicative Lie skew derivations on triangular algebras","authors":"M. Ashraf, A. Jabeen, Musheer Ahmad","doi":"10.47743/anstim.2022.00011","DOIUrl":"https://doi.org/10.47743/anstim.2022.00011","url":null,"abstract":"Let U be a triangular algebra. Under certain assumptions, we show that every multiplicative Lie σ -derivation L : U → U is of the form δ + τ, where δ is an additive σ -derivation on U and τ is a map from U to its center Z σ ( U ) that vanishes on Lie product. As an application, we study the multiplicative Lie σ -derivation on nest algebras and block upper triangular matrix algebras.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890905","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
Sunlet decomposition of tensor product graphs 张量积图的Sunlet分解
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00019
A. Akwu
{"title":"Sunlet decomposition of tensor product graphs","authors":"A. Akwu","doi":"10.47743/anstim.2022.00019","DOIUrl":"https://doi.org/10.47743/anstim.2022.00019","url":null,"abstract":"For any integer r ≥ 3, the sunlet graph of order 2 r is a graph consisting of a cycle of length r with each vertex of the cycle adjacent to a pendant vertex. In this present article, we shall obtain the necessary and sufficient conditions for decomposing the tensor product of complete graphs and complete graph minus a 1-factor with complete graph K m (that is, K n × K m and K n − I × K m respectively) into sunlet graphs.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70891237","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
3×3 idempotent matrices over some domains and a conjecture on nil-clean matrices 3×3某些定义域上的幂等矩阵及零清洁矩阵的一个猜想
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI: 10.47743/anstim.2022.00007
G. Călugăreanu
{"title":"3×3 idempotent matrices over some domains and a conjecture on nil-clean matrices","authors":"G. Călugăreanu","doi":"10.47743/anstim.2022.00007","DOIUrl":"https://doi.org/10.47743/anstim.2022.00007","url":null,"abstract":"A characterization of the 3 × 3 idempotent matrices over some integral domains is given, in terms of determinant, trace and rank. The conjecture: every nil-clean 3 × 3 integral matrix is exchange, is revisited. Several new cases are proved.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890413","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
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