该杂志由 MIRELA STEFANESCU 和 SILVIU SBURLAN 于 1993 年创立，致力于纯数学和应用数学。由罗马尼亚康斯坦察奥维迪乌斯大学数学和计算机科学学院出版。

The journal "Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica" was founded in 1993 by MIRELA STEFANESCU and SILVIU SBURLAN, focusing on research in pure and applied mathematics. It is published by the Faculty of Mathematics and Computer Science at Ovidius University in Constanta, Romania.

《Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica》杂志由MIRELA STEFANESCU和SILVIU SBURLAN于1993年创立，专注于纯数学和应用数学的研究。该杂志由罗马尼亚康斯坦察的奥维迪乌斯大学数学与计算机科学学院出版。

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica

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 E 3 with density e z and e − x 2− y 2 are given.

Neslihan Ulucan

Mahmut Akyigit

Analele Universităţii "Ovidius" Constanţa. Seria Matematică

Offset Ruled Surface in Euclidean Space with Density

欧几里得空间中带密度的偏移直纹面

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.

Dorin Andrica

Ovidiu Bagdasar

George Cătălin Ţurcaş

On some new results for the generalised Lucas sequences

关于广义卢卡斯序列的一些新结果

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.

Milica Kankaras

Reducibility in Corsini hypergroups

Corsini超群中的可约性

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.

Dana Piciu

Christina Theresia Dan

Anca Dina

Gődel filters in residuated lattices

剩余格中的Gődel滤子

Abstract This paper presents the topological transversality coincidence theorem for general multivalued maps who have selections in a given class of maps.

Donal O’Regan

Topological Transversality Coincidence Theory for Multivalued Maps with Selections in a Given Class

给定类中具有选择的集值映射的拓扑横截性重合理论

Abstract A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and k- tuples of DNA codewords is established. Using this map the structure of DNA codes over these rings is determined, the length of the code is relatively prime to the characteristic of the residue field of the ring.

C. A. Castillo-Guillén

C. Álvarez-García

DNA codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

有限局部Frobenius非链环上长度为5且幂零指数为4的DNA码

Abstract The aim of this paper is to develop new nonparametric estimators of entropy based on the k th nearest neighbor distances that are considered between n sample points, k ≤ ( n − 1) being a positive integer, fixed. The Method consists in using the new estimators which were useful in order to evaluate the entropies for random vectors. As results, using the Kaniadakis entropy measure, the asymptotic unbiasedness and consistency of the estimators are proven.

Ioana Dănilă-Cernat

Nearest neighbor estimates of Kaniadakis entropy

Kaniadakis熵的最近邻估计

Abstract In a research project in which a group of mathematical researchers is involved, it was necessary to create a system of nonlinear equations defined over a particular nonsupersingular elliptic space. This paper presents a part of the results obtained in this field, as well as the applications where the built models has been demonstrated their reliability.

Ramzi Alsaedi

Abdelwahab Dhifli

Abdeljabbar Ghanmi

Different approach on elliptic curves mathematical models study and their applications

椭圆曲线数学模型研究及其应用的不同方法

Abstract In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic octonions. Also, the notions of eigenvalue and eigenvector are studied for commutative elliptic octonion matrices. In this regard, the fundamental theorem of algebra and Gershgorin’s Theorem are proved for commutative elliptic octonion matrices. Finally, some examples related to our theorems are provided.

Arzu Cihan Sürekçi

Mehmet Ali Güngör

A Study on Commutative Elliptic Octonion Matrices

交换椭圆八元数矩阵研究

Abstract The article is motivated by the recently published studies on injective and projective hypermodules. We present here a new characterization of the normal injective hypermodules. First we define the concept of zero-divisors over a hypermodule and based on it we introduce a new class of hypermodules, the one of divisible hypermodules. After presenting some of their fundamental properties, we will show that the class of normal injective R -hypermodules M and the class of divisible R -hypermodules M coincide whenever R is a hyperring with no zero-divisors over M . Finally, we answer to an open problem related to canonical hypergroups. In particular, we show that any canonical hypergroup can be endoweded with a ℤ-hypermodule structure and it is a normal injective ℤ-hypermodule if and only if it is a divisible ℤ-hypermodule.

Abbreviation
Journal Impact	0.72
Quartiles(Global)	MATHEMATICS, APPLIED(Q3)

ISSN	1224-1784, 1844-0835
h-index	24

Publication Information	Publisher: Ovidius University，Publishing cycle: Semiannual，Journal Type: journal，Open Access Journals: Yes
Basic data	Year of publication: 2009，Proportion of original research papers: 100.00%，Self Citation Rate:0.00%， Gold OA Rate: 47.24%
Average review cycle	网友分享经验：较慢,6-12周
Average recruitment ratio	网友分享经验：容易

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica

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