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Gődel filters in residuated lattices Gődel残留格中的滤波器
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0012
D. Piciu, Christina-Theresia Dan, Anca Dina
{"title":"Gődel filters in residuated lattices","authors":"D. Piciu, Christina-Theresia Dan, Anca Dina","doi":"10.2478/auom-2021-0012","DOIUrl":"https://doi.org/10.2478/auom-2021-0012","url":null,"abstract":"Abstract In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the connections between these filters and other types of filters. Using Gődel filters we characterize the residuated lattices which are Gődel algebras. Also, we prove that a residuated lattice is a Gődel algebra (divisible residuated lattice, MTL algebra, BL algebra) if and only if every filter is a Gődel filter (divisible filter, MTL filter, BL filter). Finally, we present some results about injective Gődel algebras showing that complete Boolean algebras are injective objects in the category of Gődel algebras.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74516809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Offset Ruled Surface in Euclidean Space with Density 具有密度的欧几里得空间中的偏移直纹曲面
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0015
Neslihan Ulucan, M. Akyiğit
{"title":"Offset Ruled Surface in Euclidean Space with Density","authors":"Neslihan Ulucan, M. Akyiğit","doi":"10.2478/auom-2021-0015","DOIUrl":"https://doi.org/10.2478/auom-2021-0015","url":null,"abstract":"Abstract In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied. In addition, the relationships between the mean curvature and mean curvature with density, and the Gaussian curvature and the Gaussian curvature with density of the offset ruled surfaces in E3 with density ez and e−x2−y2 are given.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75035389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Univalence Criteria for some General Integral Operators 一些一般积分算子的一元准则
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0003
C. Bărbatu, D. Breaz
{"title":"Univalence Criteria for some General Integral Operators","authors":"C. Bărbatu, D. Breaz","doi":"10.2478/auom-2021-0003","DOIUrl":"https://doi.org/10.2478/auom-2021-0003","url":null,"abstract":"Abstract The main object of this paper is to extend the univalent condition for two general integral operators. A number of known univalent condition would follow upon specializing the parameters involved in our main results.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75835384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Topological Transversality Coincidence Theory for Multivalued Maps with Selections in a Given Class 给定类中具有选择的多值映射的拓扑横贯性符合理论
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0013
D. O’Regan
{"title":"Topological Transversality Coincidence Theory for Multivalued Maps with Selections in a Given Class","authors":"D. O’Regan","doi":"10.2478/auom-2021-0013","DOIUrl":"https://doi.org/10.2478/auom-2021-0013","url":null,"abstract":"Abstract This paper presents the topological transversality coincidence theorem for general multivalued maps who have selections in a given class of maps.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73943245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Qualitative results in thermoelasticity of type III for dipolar bodies 偶极体III型热弹性的定性结果
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0009
M. Marin, S. Vlase, A. Öchsner
{"title":"Qualitative results in thermoelasticity of type III for dipolar bodies","authors":"M. Marin, S. Vlase, A. Öchsner","doi":"10.2478/auom-2021-0009","DOIUrl":"https://doi.org/10.2478/auom-2021-0009","url":null,"abstract":"Abstract In our study we formulated the mixed initial boundary value problem corresponding to the thermoelasticity of type III for bodies with dipolar structure. In main section we approached four qualitative results regarding the solutions for this problem. In two of these (in the first two theorems) we obtained two results of uniqueness, proved in different ways. Also, we proven two results which show that the solutions of the considered problem depend continuously with respect to the supply terms. We use different procedures in the two theorems on continuous dependence, but we essentially rely on the auxiliary results from Section 3 and Gronwall-type inequalities. It is important to emphasize that all results are obtained by imposing on the basic equations and basic conditions, average constraints that are common in the mechanics of continuous solids.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84876398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stochastic orders for a multivariate Pareto distribution 多元Pareto分布的随机阶数
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0004
Luigi-Ionut Catana
{"title":"Stochastic orders for a multivariate Pareto distribution","authors":"Luigi-Ionut Catana","doi":"10.2478/auom-2021-0004","DOIUrl":"https://doi.org/10.2478/auom-2021-0004","url":null,"abstract":"Abstract In this article we give some theoretical results for equivalence between different stochastic orders of some kind multivariate Pareto distribution family. Weak multivariate orders are equivalent or imply different stochastic orders between extremal statistics order of two random variables sequences. The random variables in this article are not neccesary independent.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83097555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On Quaternion-Gaussian Fibonacci Numbers and Their Properties 四元数-高斯斐波那契数及其性质
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0005
S. Halici, Gamaliel Cerda-Morales
{"title":"On Quaternion-Gaussian Fibonacci Numbers and Their Properties","authors":"S. Halici, Gamaliel Cerda-Morales","doi":"10.2478/auom-2021-0005","DOIUrl":"https://doi.org/10.2478/auom-2021-0005","url":null,"abstract":"Abstract We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients. Using the Binet form we prove fundamental relations between these numbers. Moreover, we investigate whether the quaternions newly defined provide existing some important identities such as Cassini’s identity for quaternions.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87384619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On some new results for the generalised Lucas sequences 关于广义Lucas序列的一些新结果
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0002
D. Andrica, O. Bagdasar, George C. Ţurcaş
{"title":"On some new results for the generalised Lucas sequences","authors":"D. Andrica, O. Bagdasar, George C. Ţurcaş","doi":"10.2478/auom-2021-0002","DOIUrl":"https://doi.org/10.2478/auom-2021-0002","url":null,"abstract":"Abstract In this paper we introduce the functions which count the number of generalized Lucas and Pell-Lucas sequence terms not exceeding a given value x and, under certain conditions, we derive exact formulae (Theorems 3 and 4) and establish asymptotic limits for them (Theorem 6). We formulate necessary and sufficient arithmetic conditions which can identify the terms of a-Fibonacci and a-Lucas sequences. Finally, using a deep theorem of Siegel, we show that the aforementioned sequences contain only finitely many perfect powers. During the process we also discover some novel integer sequences.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83890984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Reducibility in Corsini hypergroups Corsini超群的可约性
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0007
Milica Kankaraš
{"title":"Reducibility in Corsini hypergroups","authors":"Milica Kankaraš","doi":"10.2478/auom-2021-0007","DOIUrl":"https://doi.org/10.2478/auom-2021-0007","url":null,"abstract":"Abstract In this paper, we study the reducibility property of special hyper-groups, called Corsini hypergroups, named after the mathematician who introduced them. The concept of reducibility was introduced by Jantosciak, who noticed that it can happen that hyperproduct does not distinguish between a pair of elements. He defined a certain equivalences in order to identify elements which play the same role with respect to the hyperoperation. First we will determine specific conditions under which the Corsini hypergroups are reduced. Next, we will present some properties of these hypergroups necessary for studying the fuzzy reducibility property. The fuzzy reducibility will be considered with respect to the grade fuzzy set μ̃, used for defining the fuzzy grade of a hypergroup. Finally, we will study the reducibility and the fuzzy reducibility of the direct product of Corsini hypergroups.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83669822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
New Curiosity Bivariate Quadratic Quaternionic Polynomials and Their Roots 新好奇心二元二次四元多项式及其根
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0001
I. Akkus, Gonca Kızılaslan
{"title":"New Curiosity Bivariate Quadratic Quaternionic Polynomials and Their Roots","authors":"I. Akkus, Gonca Kızılaslan","doi":"10.2478/auom-2021-0001","DOIUrl":"https://doi.org/10.2478/auom-2021-0001","url":null,"abstract":"Abstract We consider the second-order linear homogeneous quaternion recurrence solutions for some new curiosity bivariate quadratic quaternionic equations.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73627402","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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