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Directed approximate fibrations 定向近似振动
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00024
I. Pop
{"title":"Directed approximate fibrations","authors":"I. Pop","doi":"10.47743/ANSTIM.2021.00024","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00024","url":null,"abstract":"","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"331-345"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890275","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
Matrix manipulations for properties of Fibonacci p-numbers and their generalizations 斐波那契p数性质的矩阵处理及其推广
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00007
Ö. Deveci, A. Shannon
{"title":"Matrix manipulations for properties of Fibonacci p-numbers and their generalizations","authors":"Ö. Deveci, A. Shannon","doi":"10.47743/ANSTIM.2021.00007","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00007","url":null,"abstract":"In this paper, we define the Fibonacci-Fibonacci p-sequence and then we discuss the connection of the Fibonacci-Fibonacci p-sequence with Fibonacci and Fibonacci p-sequences. We also provide a new Binet formula and a new combinatorial representation of Fibonacci p-numbers by the aid of the nth power of the generating matrix the Fibonacci-Fibonacci p-sequence. We furthermore develop relationships between the Fibonacci-Fibonacci p-numbers and their permanent, determinant and sums of certain matrices.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70889483","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
Analysis of a thermo-viscoelastic antiplane contact problem with long-term memory 具有长时记忆的热粘弹性反平面接触问题分析
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00008
C. Rachid, Lebri Nemira
{"title":"Analysis of a thermo-viscoelastic antiplane contact problem with long-term memory","authors":"C. Rachid, Lebri Nemira","doi":"10.47743/ANSTIM.2021.00008","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00008","url":null,"abstract":"We study a mechanical problem modeling the antiplane shear deformation of a cylinder in frictional contact with a rigid foundation. The material is assumed to be thermo-viscoelastic with long-term memory, the process is quasistatic, and the friction is modeled with Tresca’s law. The mechanical model is described as a coupled system of a variational elliptic equality for the displacements and a differential heat equation for the temperature. We present a variational formulation of the problem and establish the existence and uniqueness of weak solution in using general results on evolution equations with monotone operators and fixed point arguments.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"34 1","pages":"97-111"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70889534","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
Symmetric functions of binary products of bivariate complex Lucas polynomials and some special numbers and polynomials 二元复Lucas多项式与一些特殊数和多项式的二元积的对称函数
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00014
N. Saba, S. Boughaba, A. Boussayoud
{"title":"Symmetric functions of binary products of bivariate complex Lucas polynomials and some special numbers and polynomials","authors":"N. Saba, S. Boughaba, A. Boussayoud","doi":"10.47743/ANSTIM.2021.00014","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00014","url":null,"abstract":"In this paper, we introduce an operator in order to derive some new symmetric properties of bivariate complex Lucas polynomials, then we give some new generating functions of the products of bivariate complex Lucas polynomials with Chebyshev polynomials of the first, second, third and fourth kinds, k-Fibonacci numbers, k-Lucas numbers, k-Pell numbers, k-Pell Lucas numbers, k-Jacobsthal numbers and k-Jacobsthal Lucas numbers. By making use of the operator defined in this paper, we give some new generating functions of the products of bivariate complex Lucas polynomials with Fibonacci polynomials, Pell polynomials and Jacobsthal polynomials.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"187-211"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70889884","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
Von Neumann regular semimodule 冯·诺伊曼正则半模
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00020
Mrinal K. Sen, S. Maity, Sabnam Swomin
{"title":"Von Neumann regular semimodule","authors":"Mrinal K. Sen, S. Maity, Sabnam Swomin","doi":"10.47743/ANSTIM.2021.00020","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00020","url":null,"abstract":"In [11], the author introduced inverse semimodules. Recently, in [8], we further studied properties of inverse semimodules and Clifford semimodules. In this paper, we consider inverse semimodules over a semiring R such that R is a distributive lattice of rings. In [3], the authors introduced von Neumann regular module and studied its properties. In this paper, we introduce von Neumann regular semimodule and study its different interesting properties.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"17 1","pages":"279-294"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890030","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 higher derivations of partially ordered sets 偏序集的高阶导数
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00023
A. Boua, A. Abdelwanis, N. Rehman
{"title":"On higher derivations of partially ordered sets","authors":"A. Boua, A. Abdelwanis, N. Rehman","doi":"10.47743/ANSTIM.2021.00023","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00023","url":null,"abstract":"The point of this paper is to present and study the idea of higher derivations on partially ordered sets that generalize the concept of derivations on partially ordered sets. Additionally, several characterization theorems on higher derivations are introduced. Moreover, the properties of the fixed points based on the higher derivations are examined. Finally, the properties of ideals and operations related to higher derivations are studied.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"319-330"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890219","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 holomorph of an extra-special p–group 一个特殊p群的全变形
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00022
Parisa Seifizadeh, M. M. Nasrabadi
{"title":"The holomorph of an extra-special p–group","authors":"Parisa Seifizadeh, M. M. Nasrabadi","doi":"10.47743/ANSTIM.2021.00022","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00022","url":null,"abstract":"Let G be a group and S(G) be a group of permutations on the set G. Define the holomorph of G to be the normalizer of the image in S(G) of the right regular representation, Hol(G) = NS(G)(ρ(G)) = Aut(G)ρ(G). If N is a regular subgroup of S(G), then NS(G)(N) is isomorphic to the holomorph of G. Miller has shown that the group T (G) = NS(G)(Hol(G))/Hol(G) acts regularly on the set of the regular subgroups N of S(G) which are isomorphic to G, and have the same holomorph as G, in the sense that NS(G)(N) = Hol(G). In this paper we study T (G), when G is an extra-special p-group.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"309-317"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890148","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 generalized Perrin polynomial sequence and its two-dimensional recurrences 广义Perrin多项式序列及其二维递推式
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00019
M. Mangueira, R. Vieira, F. R. Alves, P. Catarino
{"title":"A generalized Perrin polynomial sequence and its two-dimensional recurrences","authors":"M. Mangueira, R. Vieira, F. R. Alves, P. Catarino","doi":"10.47743/ANSTIM.2021.00019","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00019","url":null,"abstract":"In this work, the generating matrices for the positive integers of the Perrin polynomial sequence will be investigated, as well as the generalization of their matrix form, extending to the field of non-positive integers. The similarity of Perrin’s sequence with Padovan’s is highlighted, differentiating it only in relation to its initial terms. And yet, there is a discussion about the two-dimensional, or Gaussian, recurring relations of Perrin’s numbers, related to Padovan’s numbers, based on his one-dimensional model. Finally, we introduce new relationships derived from two-dimensional recurrence and some identities resulting from it.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"261-277"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890308","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
Approximate solutions of a generalized functional equation on restricted domains and their asymptotic behaviors 一类广义泛函方程在限制域上的近似解及其渐近性质
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00001
M. Almahalebi, A. Chahbi
{"title":"Approximate solutions of a generalized functional equation on restricted domains and their asymptotic behaviors","authors":"M. Almahalebi, A. Chahbi","doi":"10.47743/ANSTIM.2021.00001","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00001","url":null,"abstract":"In this paper, we prove the Hyers-Ulam stability on restricted domains of the following generalized Cauchy and quadratic functional equation m−1 ∑ k=0 f(x + bky) = mf(x) + mf(y), x, y ∈ E, where bk = exp( 2iπk m ) for 0 ≤ k ≤ m − 1. These results are applied to study of an asymptotic behavior of this functional equation.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"1-10"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70889070","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
Co-filters in Γ-semigroups ordered under co-order 在co-order下对Γ-semigroups中的Co-filters进行排序
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI: 10.47743/ANSTIM.2021.00002
D. Romano
{"title":"Co-filters in Γ-semigroups ordered under co-order","authors":"D. Romano","doi":"10.47743/ANSTIM.2021.00002","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00002","url":null,"abstract":"As a generalization of a semigroup, Sen, in 1981, introduced the concept of Γ -semigroups. In our paper (D. A. Romano, Γ -semigroups with apartness. Bull. Allahabad Math. Soc., 34 (2019), no. 1, 71-83), we introduced and analyzed the concept of Γ-semigroups with apartness in the Bishop’s constructive framework. In this paper, as a continuation of the previous one, we introduce and analyze the concept of Γ -semigroups ordered under co-order. In addition, we introduce and analyze the concept of co-filters in such Γ -semigroups.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"11-18"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70889170","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
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