فهرست مطالب
Iranian Journal of Mathematical Sciences and Informatics
Volume:18 Issue: 2, Nov 2023
 تاریخ انتشار: 1402/07/09
 تعداد عناوین: 16


Pages 110
In this paper, we introduce the notion of hybrid biideals in semigroups and investigate some of their important properties. We also give various equivalent conditions for a semigroup to be regular and hybrid structures to be hybrid biideals of S.
Keywords: Hybrid structure, Hybrid ideal, Semigroup, Ideals, Hybrid product 
Pages 1123
In this paper, we initiate the concept of proximal weak commute mappings and establish some new existence of common best proximity point theorems for this class of mappings. Also, we provide interesting example to illustrate our main results.
Keywords: Common best proximity point, Metric space, Common fixed point, Weakly commute mappings 
Pages 2530
Let R be a ring. The ring R is called weakly prime center(WPC ring) if ab∈Z(R) implies that aRb is an ideal of R. In this paper, we prove that every left(right) duo ring is a WPC ring. Also we prove that some classes of rings with nilpotent Jacobson radical are WPC rings. Finally, we prove that a simple ring is a WPC ring if and only if it is a domain.
Keywords: Weakly prime center rings, Duo rings, Idempotent lifting 
Pages 3150
In this paper, we consider some special Finsler spaces obtained via Randersβ change. First, we find the fundamental metric tensor and Cartan tensor of these metrics. Next, we establish a general formula for the inverse tensor of fundamental metric tensors of these metrics. Finally, we find the necessary and sufficient conditions under which these metrics are projectively flat, and we give examples to support our results.
Keywords: (α, β)metric, Randersβ change, Fundamental metric tensor, Cartan tensor, Projective flatness 
Pages 5165
Let R be a ring. The class of SAinjective right Rmodules (SAIR) is introduced as a class of socinjective right Rmodules. Let N be a right Rmodule. A right Rmodule M is said to be SANinjective if every Rhomomorphism from a semiartinian submodule of N into M extends to N. A module M is called SA njective, if M is SARinjective. We characterize rings over which every right module is SAinjective. Conditions under which the class SAIR is closed under uotient (resp. directsums, pure homomorphic images) are given. The definability of the class SAIR is studied. Finally, relations between SAinjectivity and certain generalizations of injectivity are given.
Keywords: Semiartinian submodule, Definable class, Injective module, Noetherian module, Flat module 
Pages 6794
The basic purpose of this article is to introduce the concept of R  λ  Gcontraction by using Rfunctions, lower semicontinuous functions and digraphs and discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of selfmappings satisfying such contractions in the setting of metric spaces endowed with a graph. As some consequences of our results, we obtain several recent results in metric spaces and partial metric spaces.
Keywords: Rfunction, Digraph, Lower semicontinuous function, Common fixed point 
Pages 95105
Introducing oil bodies to the industry provided an impetus to know more about the constructive factors. Accordingly, the current article focused on the description of the plant seed caleosins involved in oil body formation. For this purpose, bioinformatics analysis was conducted to identify the putative caleosins. Then, the phylogenetic tree and conserved motifs were extracted from the sequences. Finally, a model sequence was created by WebLogo to indicate all features including secondary structure, posttranslational modifications and physicochemical properties. According to the results, the Nterminal region of caleosins owned more length and negative charges. Although the net charge and length of domains have changed over evolutionary time, the members of Brassicaceae had been highly conserved even in the motif sequences. Considering the importance of these two factors in the construction of the oil body, natural selection has probably shaped more stable droplets for lipid storage. However, its confirmation requires more investigation.
Keywords: Conserved sequence, Membrane proteins, Nanoparticles, Phylogeny 
Pages 107115
A simple graph is said to be cordial if it admits 01 labeling that satisfies certain conditions. In this paper we investigate necessary and sufficient conditions for cordial labeling of the corona product between paths and fourth power of paths be cordial.
Keywords: Path, Corona, Cordial labeling, Fourth power 
Pages 117126
For a graph G=(V, E) of order n, a Roman {2}dominating function f: V→E has the property that for every vertex v in V with f(v)=0, either v is adjacent to a vertex assigned 2 under f, or v is adjacent to least two vertices assigned 1 under f. In this paper, we classify all graphs with Roman {2}domination number belonging to the set {2, 3, 4, n2, n1, n}. Furthermore, we obtain some results about Roman {2}domination number of some graph operations.
Keywords: Roman {2}domination, Cartesian product, Grid graph 
Pages 127137
The purpose of the paper is to derive some interesting implications associated with some differential inequalities, for certain analytic functions in the open unit disk. Connections to previously well known results are also established.
Keywords: Analytic functions, Subordination, Carathéodory functions 
Pages 139151
Let R be a commutative ring with identity and M be an Rmodule. In this paper, we will introduce the concept of 2irreducible (resp., strongly 2irreducible) submodules of M as a generalization of irreducible (resp., strongly irreducible) submodules of M and investigated some properties of these classes of modules.
Keywords: Irreducible ideal, Strongly 2irreducible ideal, 2irreducible submodule, Strongly 2irreducible submodule 
Pages 153168
A difference labeling of a graph G is an injective function f : V (G) → N ∪ {0} together with the weight function f∗ on E(G) given by f∗(uv) = f(u)  f(v) for every edge uv in G. The collection of subgraphs induced by the edges of the same weight is a decomposition of G and is called the common weight decomposition of G induced by f. Let ϒf denote the collection of all the paths taken from each member of the common weight decomposition induced by f. A difference labeling f of G is said to be a graphoidal difference labeling if ϒf is an acyclic graphoidal decomposition of G. This paper initiates a study on this concepts.
Keywords: Decomposition, Graphoidal difference labeling 
Pages 169183
In this paper, the concept of Kgframes in Hilbert proC∗modules is introduced, and their basic properties are examined. The conditions under which family of operators can form a Kgframe on Hilbert proC∗modules are derived. Moreover gatomic systems in Hilbert proC∗modules are introduced and their properties are examined.
Keywords: Hilbert modules over proC*algebras, KGframes, Frame operators, Bounded module maps, Gatomic systems 
Pages 185198
One of the important features of an interconnection network is its ability to efficiently simulate programs or parallel algorithms written for other architectures. Such a simulation problem can be mathematically formulated as a graph embedding problem. In this paper we compute the lower bound for dilation and congestion of embedding onto wheellike networks. Further, we compute the exact dilation of embedding wheellike networks into hypertrees, proving that the lower bound obtained is sharp. Again, we compute the exact congestion of embedding windmill graphs into circulant graphs, proving that the lower bound obtained is sharp. Further, we compute the exact wirelength of embedding wheels and fans into 1,2fault hamiltonian graphs. Using this we estimate the exact wirelength of embedding wheels and fans into circulant graphs, generalized Petersen graphs, augmented cubes, crossed cubes, Möbius cubes, twisted cubes, twisted ncubes, locally twisted cubes, generalized twisted cubes, odddimensional cube connected cycle, hierarchical cubic networks, alternating group graphs, arrangement graphs, 3regular planer hamiltonian graphs, star graphs, generalised matching networks, fully connected cubic networks, tori and 1fault traceable graphs.
Keywords: Embedding, Wheel, Friendship graph, Median, Hamiltonian 
Pages 199210
In the present paper, we introduce the class Βθ(α,β) consisting of functions f, analytic in the unit disc ∆, normalized by the condition f(0)=0=f'(0)1 and satisfying the following twosided inequality α< Re{f'(z)+(1+eiθ)/2 zf''(z)}<β (z∈∆),where θ∊(π,π], 0<α<1 and β>1. Integral representation, differential subordination results, coefficient estimates and FeketeSzegö coefficient functional associated with the kth (k≥1) root transform [f(zk)]1/k for functions in the class Βθ(α,β), are determined.<betaquad</betaquad
Keywords: Univalent, Closetoconvex, Differential subordination, Coefficient estimates, FeketeSzegö problem 
Pages 211224
In this paper we show that the category of measurable spaces is closed under coproducts in the category of sets. For an arbitrary ring R, we define measurable and probability right Rmodules and we prove that the categories of these new objects are closed under kernels, cokernels and pushouts in the category of right Rmodules. We also show that the category of measurable right Rmodules is closed under coproducts and products in the category of right Rmodules. We end this paper by giving some results about stochastically independence in the category of probability right Rmodules.
Keywords: Measurable space, Probability space, Ring, Module