51 Results Found

There are six different classes of endomorphisms for a graph. The sets of these endomorphisms always form a chain under the inclusion of sets. In order to study these different endomorphisms more systematically, Böttcher and Knauer proposed the...

There are six classes of endomorphisms for a graph. The sets of these endomorphisms form a chain under the inclusion of sets. In order to systematically study these endomorphisms, Böttcher and Knauer defined the concepts of the endomorphism spec...

There are six different classes of endomorphisms for a graph. The sets of these endomorphisms always form a chain under the inclusion of sets. For a more systematic treatment of different endomorphisms, Böttcher and Knauer proposed the concepts...

Let ℧ be a prime ring of char(℧) $\ne 2$ with its center $Z.$ This article introduces new classes of endomorphisms and investigates how they relate to antiautomorphisms of prime rings and the commutativity of prime rings. Additionally, we ful...

The concepts of fuzzy sets and topology are widely applied to model various algebraic structures and computations. The dynamics of fuzzy measures in topological spaces having distributed monoid embeddings is an interesting topic in the presence of to...

In this paper, completely regular endomorphisms of unicyclic graphs are explored. Let G be a unicyclic graph and let $cEnd\left(G\right)$ be the set of all completely regular endomorphisms of G. The necessary and sufficient conditions under which $$...

Let X be a nonempty set and $\mathcal{P}\left(X\right)$ the power set of X. The aim of this paper is to provide an explicit description of the monoid ${\mathrm{End}}_{1_{\mathcal{P}\left(X\right)}}\left(\mathcal{P}\left(X\right)\right)$ of unital ring endomorphisms of the Boolean ring $\mathcal{P}\left(X\right)$ and the automorphism group $\mathrm{Aut}\left(\mathcal{P}\right(X\left)\right)$ when X is finite....

The fear of falling (FOF) limits the movements of the older adults, which, in turn, might impair postural mobility. An aquatic environment has a relatively low risk of falling and can improve motor abilities. The aim of this study was to investigate...

The scale of an endomorphism of a totally disconnected, locally compact group G is defined and an example is presented which shows that the scale function is not always continuous with respect to the Braconnier topology on the automorphism group of G...

We examine the heap of linear connections on anchored vector bundles and Lie algebroids. Naturally, this covers the example of affine connections on a manifold. We present some new interpretations of classical results via this ternary structure of co...

We prove a conjecture on the second minimal odd periodic orbits with respect to Sharkovski ordering for the continuous endomorphisms on the real line. A $(2k+1)$-periodic orbit $\{{\beta }_1<{\beta }_2<\cdots <{\beta }_{2k+1}\}$, ($k\ge 3$) is called second mi...

Fuzzy sets are a major simplification and wing of classical sets. The extended concept of set theory is rough set (RS) theory. It is a formalistic theory based upon a foundational study of the logical features of the fundamental system. The RS theory...

A weak homomorphism from graph G to graph H is a mapping $f:V\left(G\right)\to V\left(H\right)$, where either $f\left(x\right)=f\left(y\right)$ or $\left\{f\right(x),f(y\left)\right\}\in E\left(H\right)$ hold for all $\{x,y\}\in E\left(G\right)$. A rectangular grid graph is formed by taking the Cartesian product of two paths. Counting weak ho...

As part of a project to identify all maximal centralising monoids on a four-element set, we determine all centralising monoids witnessed by unary or by idempotent binary operations on a four-element set. Moreover, we show that every centralising mono...

Background: In Mexico, research on somatotypes in athletes has primarily focused on team sports, taekwondo, climbing, and triathlon. However, the available evidence remains limited. Therefore, the purpose of this study was to determine the somatotype...

Competitive karate activity involves numerous factors affecting performance in sport. Physical structure and somatotype is considered to be one of them. This study aimed to determine whether there are differences between karate athletes in five male...

In this paper, we study the Hom–Hopf algebra automorphism group of a $(\theta ,\omega )$-twisted-Radford’s Hom-biproduct, which satisfies certain conditions. First, we study the endomorphism monoid and automorphism group of $(\theta ,\omega$...

Background: Bioelectrical impedance vector analysis (BIVA) is a body composition assessment method based on the interpretation of the raw bioimpedance parameters. While it was initially proposed in clinical settings, its use in the sports field has g...

The relationship between an athlete’s somatotype three-numeral rating and his or her athletic performance is well known. However, a direct effect of the different dominant somatotype on jumping and sprinting variables has not yet been reported....

This study aimed to provide reference values for anthropometric characteristics of elite male and female soccer players, considering a group of individuals from the general population as controls. The anthropometric profiles of 357 elite soccer playe...

In this paper, we present a method to create a safe arithmetic that can be used to obfuscate implementations that require operations over commutative groups. The method is based on the structure of the endomorphisms of certain extensions of the origi...

This paper aims to define the Obata-type connection on a $4n$-dimensional smooth manifold equipped with a 3-parameter generalized quaternion structure. The paper demonstrates some general algebraic properties of this connection. The integrability of en...

Background and objective: Somatotyping is helpful in sports in which the body shape could influence the resulting performance. The purpose of this study was to determine the somatotype of high profile Lithuanian athletes in kayaking, basketball and f...

In this paper, we provide the basic properties of (semi)simple hypermodules. We show that if a hypermodule M is simple, then $\left(End\right(M),·)$ is a group, where $End\left(M\right)$ is the set of all normal endomorphisms of M. We prove that every simple hypermodul...

Consider a uniquely ergodic $C^{*}$ -dynamical system based on a unital *-endomorphism $\Phi$ of a $C^{*}$ -algebra. We prove the uniform convergence of Cesaro averages $\frac{1}{n}{\sum }_{k=0}^{n-1}{\lambda }^{-n}\Phi$...

Syndromic and non-syndromic obesity conditions in children, such as Prader-Willi syndrome (PWS) and non-alcoholic fatty liver disease (NAFLD), both lower quality of life and increase risk for chronic health complications, which further increase healt...

Let G be a group. An automorphism $\alpha$ of G is said to be a cyclic automorphism if the subgroup $⟨x,x^{\alpha }⟩$ is cyclic for every element x of G. In [F. de Giovanni, M.L. Newell, A. Russo: On a class of normal endomorphisms of groups,...

We study geometry of a Riemannian manifold endowed with a singular (or regular) distribution, determined as an image of the tangent bundle under smooth endomorphisms. Following construction of an almost Lie algebroid on a vector bundle, we define the...

Symmetric structures are key in non-associative algebras. A Mock-Lie algebra, defined by commutativity and the Jacobi identity, shows strong algebraic symmetry. This paper studies the quasi-centroid, which captures the symmetry of linear operators co...

In this work, we propose a definition of the random fractional Riemann–Liouville integral operator, where the order of integration is given by a random variable. Within the framework of random operator theory, we study this integral with a rand...

Using the direct method, we prove the Ulam stability results for the general linear functional equation of the form ${\sum }_{i=1}^m{A}_i(f\left({\phi }_i\left(\overline{x}\right))\right)=D\left(\overline{x}\right)$ for all $\overline{x}\in X^n$, where f is the unknown mapping from a linear space X over a field $\mathbb{K}\&$...

Body composition assessment is a relevant element in the biomedical field, in research and daily practice in the medical and nutritional fields, and in the management of athletes. This paper aimed to operate in an Italian sample investigating the pos...

Introduction and objectives (1): It is currently important to be able to establish logical plans for physical work and/or nutrition aimed at achieving optimal levels of performance and wellbeing. To achieve this, it is crucial to understand anthropom...

The global rise in obesity underscores the need for effective weight management strategies that address individual metabolic and hormonal variability, moving beyond the simplistic “calories in, calories out” model. Body types—ectomo...

Tennis is a demanding sport that requires physical abilities and optimal body composition. The aim of this study was to investigate the anthropometric characteristics, body composition, and somatotype development of young Slovenian tennis players (75...

This scoping review aimed to determine the somatotype of modern elite athletes across various sports. The literature search followed the PRISMA guidelines for scoping reviews. Four databases were consulted, PubMed, Scopus, Web of Science, and Clariva...

This investigation provides a comprehensive analytical framework for the topological morphology and global convergence dynamics governing a specific family of sixth-order iterative schemes designed for nonlinear equations with multiple roots. By invo...

Purpose: This case study examines the anthropometric characteristics and body composition changes of a 41-year-old Cuban Greco-Roman 130 kg wrestler, a five-time Olympic gold medalist (2008–2024). To optimize his preparation for the Paris 2024...

This study aimed to examine morphological and physical fitness profile in collegiate water skiers and to identify the potential morphological and physical fitness factors, important for success in the slalom, trick, and jump events. Twenty collegiate...

In order to maximize sports performance of team sportswomen, knowledge of the player’s characteristics in terms of different aspects and at different times of the season is needed. While the anthropometric and physical characteristics of men&rs...

Body composition (BC) determines strength, power, and agility in sports such as rugby. Not only is the study of morphology and BC essential to establish player positions, but it also allows the optimisation of competitive performance. The aim of this...

Determining the reference base of anthropometric parameters on a sample of elite athletes is one of the foundations of further research and forming a clearer picture of each sport and sports discipline. In this study, the aim was to describe the anth...

Somatotyping is essential for assessing body composition in sports science, anthropology, and medicine. Traditional methods, such as the Heath–Carter approach, rely on manual measurements, which can be prone to errors and variability. This stud...

This paper surveys results related to well-known works of B. Plotkin and V. Remeslennikov on the edge of algebra, logic and geometry. We start from a brief review of the paper and motivations. The first sections deal with model theory. In the first p...

The manifolds studied are almost contact complex Riemannian manifolds, known also as almost contact B-metric manifolds. They are equipped with a pair of pseudo-Riemannian metrics that are mutually associated to each other using an almost contact stru...

Table tennis has recently evolved towards a more spectacular sport increasing match-play demands and the intensity and speed of actions by regulations and equipment modification. Since these changes can alter the body composition and performance, thi...

Different rugby positions make different demands on players. It therefore follows that optimum body composition may vary according to the position played. Using anthropometry and bioimpedance analysis (BIA) to assess body composition, the present stu...

Setting up anthropometric profiles for elite athletes in each sport, sport discipline, or specific sport positions could be a key element of sport selection processes. The main purpose of this study was to determine the anthropometric characteristics...

Background: Blind 5-a-side soccer is an intermittent sport that requires the integration of physiological and physical processes, where body composition (BC) is an influential and differentiating factor of the sporting level, according to the conclus...

Relevant properties of the somatotype as important indicators can be associated with the body composition characteristics as well as both metabolic and bio-mechanical efficiency of athletes in the sport concerned. The primary aim of this single cross...