- Dettagli della rivista
- Formato
- Rivista
- eISSN
- 1844-0835
- Pubblicato per la prima volta
- 17 May 2013
- Periodo di pubblicazione
- 1 volta all'anno
- Lingue
- Inglese

#### Cerca

#### Astratto

_{0} space and under some conditions, it is compact, connected, and Hausdor. Moreover, we show that the set of all maximal preideals of a prelinear involutive bounded _{3} and _{4} space. Finally, we introduce a contravariant functor from the categories of bounded

#### Parole chiave

- -algebras
- ideals
- prime preideals
- preideals
- maximal preideals
- topology

#### MSC 2010

- Primary 06E15, 06F99
- Secondary 06B10, 54F65

- Accesso libero

On the sum of the reciprocals of k -generalized Fibonacci numbers

Pagine: 31 - 42

#### Astratto

In this note, we that if

#### Parole chiave

- Linearly recurrent sequences

#### MSC 2010

- Primary 11B39

- Accesso libero

Different approach on elliptic curves mathematical models study and their applications

Pagine: 43 - 56

#### Astratto

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.

#### Parole chiave

- Nonlinear system
- Elliptic space
- Elliptic curves

#### MSC 2010

- Primary 93C10
- Secondary 11G05, 11G07

#### Astratto

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

#### Parole chiave

- Normal injective hypermodule
- Zero-divisor
- Divisible hypermodule
- Canonical hypergroup

#### MSC 2010

- Primary 2020, 16 20
- Secondary 1399

- Accesso libero

On the Upper Bound of the Third Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function

Pagine: 75 - 89

#### Astratto

In the present paper we introduce a new class of analytic functions ^{′}_{3}(1) for this function class and obtain the upper bound of the determinant _{3}(1).

#### Parole chiave

- Elementary
- operators
- Compact operators
- orthogonality
- Gateaux derivative

#### MSC 2010

- Primary 46G05, 46L05
- Secondary 47A30, 47B47

- Accesso libero

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

Pagine: 89 - 108

#### Astratto

A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and

#### Parole chiave

- Constacyclic codes
- DNA codes
- Frobenius local rings
- Reversible codes

#### MSC 2010

- Primary 94B05
- Secondary 94B15

- Accesso libero

Stochastic orders of log-epsilon-skew-normal distributions

Pagine: 109 - 128

#### Astratto

The log-epsilon-skew-normal distributions family is generalized class of log-normal distribution. Is widely used to model non-negative data in many areas of applied research. We give necessary and/or sufficient conditions for some stochastic orders of log-epsilon-skew-normal distributions. Also, we give sufficient conditions for orders of moments and Gini indexes. Finally, it is presented a real data application.

#### Parole chiave

- Stochastic order
- Log-Normal distribution
- index Gini

#### MSC 2010

- Primary 60E15
- Secondary 62G32

- Accesso libero

Generating punctured surface triangulations with degree at least 4

Pagine: 129 - 151

#### Astratto

As a sequel of a previous paper by the authors, we present here a generating theorem for the family of triangulations of an arbitrary punctured surface with vertex degree ≥ 4. The method is based on a series of reversible operations termed reductions which lead to a minimal set of triangulations in such a way that all intermediate triangulations throughout the reduction process remain within the family. Besides contractible edges and octahedra, the reduction operations act on two new configurations near the surface boundary named quasi-octahedra and

#### Parole chiave

- Punctured surface
- irreducible triangulation
- edge contraction
- vertex splitting
- removal/addition of octahedra
- generating theorem

#### MSC 2010

- Primary 05C10
- Secondary 57M20, 57N05

- Accesso libero

A Study on Commutative Elliptic Octonion Matrices

Pagine: 151 - 169

#### Astratto

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.

#### Parole chiave

- Elliptic octonion matrices
- consimilarity
- Gershgorin disk

#### MSC 2010

- Primary 12A27, 13A99
- Secondary 15A18, 15B33

- Accesso libero

Nearest neighbor estimates of Kaniadakis entropy

Pagine: 171 - 189

#### Astratto

The aim of this paper is to develop new nonparametric estimators of entropy based on the ^{th}

#### Parole chiave

- Kaniadakis entropy
- estimator
- k- nearest neighbor
- variance
- distribution

- Accesso libero

Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative

Pagine: 191 - 217

#### Astratto

In this manuscript, we have studied the coupled system of Hilfer fractional differential equations with non-local conditions. We have used the Leray-alternative Schauder’s and the Contraction principle to obtain the results on the existence and uniqueness of the solution of the proposed problem in the weighted space of continuous functions. For the defined problem, sufficient conditions have also been developed to determine the Ulam stability of the solution. The key conclusions are well-illustrated with examples.

#### Parole chiave

- Fractional differential equations
- Couple system
- Hilfer fractional derivative
- Non-local conditions
- Fixed point theorem
- Ulam’s stability

#### MSC 2010

- Primary 39B72, 39B52
- Secondary 47H10

- Accesso libero

Complete parts and subhypergroups in reversible regular hypergroups

Pagine: 219 - 230

#### Astratto

In this paper we analyse the center and centralizer of an element in the context of reversible regular hypergroups, in order to obtain the class equation in regular reversible hypergroups, by using complete parts. After an introduction in which basic notions and results of hypergroup theory are presented, particularly complete parts, then we give several properties, characterisations and also examples for the center and centralizer of an element for two classes of hypergroups. The next paragraph is dedicated to hypergroups associated with binary relations. We establish a connection between several types of equivalence relations, introduced by J. Jantosciak, such as the operational relation, the inseparability and the essential indistin-guishability and the conjugacy relation for complete hypergroups. Finally, we analyse Rosenberg hypergroup associated with a conjugacy relation.

#### Parole chiave

- Reversible regular hypergroup
- Complete part
- Center
- Centralizer
- Conjugacy relation
- Rosenberg hypergroup

#### MSC 2010

- Primary 20N20

- Accesso libero

On characterization of finite modules by hypergraphs

Pagine: 231 - 246

#### Astratto

With a finite _{R}_{i}_{i}_{i}_{R}_{R}_{R}_{R}

#### Parole chiave

- Hyperedge
- hypergraph
- co-intersection hypergraph

#### MSC 2010

- Primary 05C65 05C20, 05C25, 05C69

#### Astratto

In this paper, Sheffer stroke BCK-algebra is defined and its features are investigated. It is indicated that the axioms of a Sheffer stroke BCK-algebra are independent. The relationship between a Sheffer stroke BCK-algebra and a BCK-algebra is stated. After describing a commutative, an implicative and an involutory Sheffer stroke BCK-algebras, some of important properties are proved. The relationship of this structures is demonstrated. A Sheffer stroke BCK-algebra with condition (S) is described and the connection with other structures is shown. Finally, it is proved that for a Sheffer stroke BCK-algebra to be a Boolean lattice, it must be an implicative Sheffer stroke BCK-algebra.

#### Parole chiave

- (Sheffer stroke) BCK-algebra
- (implicative, bounded, involutory, positive implicative, commutative) Sheffer stroke BCK-algebra
- BCK-lattice

#### MSC 2010

- Primary 06F05, 03G25
- Secondary 03G10

- Accesso libero

Algebraic dependence and finiteness problems of differentiably nondegenerate meromorphic mappings on Kähler manifolds

Pagine: 271 - 294

#### Astratto

Let ^{m}_{0}) in ℂ^{m}_{0} +∞). Our first aim in this paper is to study the algebraic dependence problem of differentiably meromorphic mappings. We will show that if ^{1}, …, ^{k}^{n}_{ρ}^{1} Λ … Λ ^{k}^{n}^{m}^{n}

#### Parole chiave

- Algebraic dependence
- finiteness theorem
- Kähler manifold
- meromorphic mapping

#### MSC 2010

- Primary 32H30, 32A22
- Secondary 30D35