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On the metric dimension of strongly annihilating-ideal graphs of commutative rings 交换环的强湮灭理想图的度规维数
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0025
V. Soleymanivarniab, R. Nikandish, A. Tehranian
{"title":"On the metric dimension of strongly annihilating-ideal graphs of commutative rings","authors":"V. Soleymanivarniab, R. Nikandish, A. Tehranian","doi":"10.2478/ausm-2020-0025","DOIUrl":"https://doi.org/10.2478/ausm-2020-0025","url":null,"abstract":"Abstract Let 𝒭 be a commutative ring with identity and 𝒜(𝒭) be the set of ideals with non-zero annihilator. The strongly annihilating-ideal graph of 𝒭 is defined as the graph SAG(𝒭) with the vertex set 𝒜 (𝒭)* = 𝒜 (𝒭) {0} and two distinct vertices I and J are adjacent if and only if I ∩ Ann(J) ≠ (0) and J ∩ Ann(I) ≠ (0). In this paper, we study the metric dimension of SAG(𝒭) and some metric dimension formulae for strongly annihilating-ideal graphs are given.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81043733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On λD − R0 and λD − R1 spaces 在λD−R0和λD−R1空间上
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0022
Sarhad F. Namiq, E. Rosas
{"title":"On λD − R0 and λD − R1 spaces","authors":"Sarhad F. Namiq, E. Rosas","doi":"10.2478/ausm-2020-0022","DOIUrl":"https://doi.org/10.2478/ausm-2020-0022","url":null,"abstract":"Abstract In this paper we introduce the new types of separation axioms called λD − R0 and λD − R1 spaces, by using λD-open set. The notion λD − R0 and λD − R1 spaces are introduced and some of their properties are investigated.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81311254","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some fixed point results on S-metric spaces s -度量空间上的一些不动点结果
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0024
M. Shahraki, S. Sedghi, S. Aleomraninejad, Z. Mitrović
{"title":"Some fixed point results on S-metric spaces","authors":"M. Shahraki, S. Sedghi, S. Aleomraninejad, Z. Mitrović","doi":"10.2478/ausm-2020-0024","DOIUrl":"https://doi.org/10.2478/ausm-2020-0024","url":null,"abstract":"Abstract In this paper, a general form of the Suzuki type function is considered on S- metric space, to get a fixed point. Then we show that our results generalize some old results.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85177932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Soft covered ideals in semigroups 半群中的软覆盖理想
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0023
Şerif Özlü, A. Sezgi̇n
{"title":"Soft covered ideals in semigroups","authors":"Şerif Özlü, A. Sezgi̇n","doi":"10.2478/ausm-2020-0023","DOIUrl":"https://doi.org/10.2478/ausm-2020-0023","url":null,"abstract":"Abstract In this work, soft covered ideals in semigroups are constructed and in this concept, soft covered semigroups, soft covered left (right) ideals, soft covered interior ideals, soft covered (generalized) bi-ideals and soft covered quasi ideals of a semigroup are defined. Various properties of these ideals are introduced and the interrelations of these soft covered ideals and the relations of soft anti covered ideals and soft covered ideals are investigated.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72417022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On some Hall polynomials over a quiver of type ˜D4 关于~ D4型颤振上的一些霍尔多项式
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0028
Csaba Szántó, I. Szöllősi
{"title":"On some Hall polynomials over a quiver of type ˜D4","authors":"Csaba Szántó, I. Szöllősi","doi":"10.2478/ausm-2020-0028","DOIUrl":"https://doi.org/10.2478/ausm-2020-0028","url":null,"abstract":"Abstract Let k be an arbitrary field and Q a tame quiver of type ˜D4. Consider the path algebra kQ and the category of finite dimensional right modules mod-kQ. We determine the Hall polynomials Fxyz associated to indecomposable modules of defect ∂z =−2, ∂x = ∂y =−1 or dually ∂z = 2, ∂x = ∂y = 1.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80238249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On application of differential subordination for Carathéodory functions 微分隶属关系在carathacimodory函数中的应用
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0026
V. Lavanya, M. P. Jeyaraman, H. A. Farzana
{"title":"On application of differential subordination for Carathéodory functions","authors":"V. Lavanya, M. P. Jeyaraman, H. A. Farzana","doi":"10.2478/ausm-2020-0026","DOIUrl":"https://doi.org/10.2478/ausm-2020-0026","url":null,"abstract":"Abstract New sufficient conditions involving the properties of analytic functions to belong to the class of Carathéodory functions are investigated. Certain univalence and starlikeness conditions are deduced as special cases of main results.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84304539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Restrained domination in signed graphs 符号图中的约束支配
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-07-01 DOI: 10.2478/ausm-2020-0010
A. J. Mathias, V. Sangeetha, M. Acharya
{"title":"Restrained domination in signed graphs","authors":"A. J. Mathias, V. Sangeetha, M. Acharya","doi":"10.2478/ausm-2020-0010","DOIUrl":"https://doi.org/10.2478/ausm-2020-0010","url":null,"abstract":"Abstract A signed graph Σ is a graph with positive or negative signs attatched to each of its edges. A signed graph Σ is balanced if each of its cycles has an even number of negative edges. Restrained dominating set D in Σ is a restrained dominating set of its underlying graph where the subgraph induced by the edges across Σ[D : V D] and within V D is balanced. The set D having least cardinality is called minimum restrained dominating set and its cardinality is the restrained domination number of Σ denoted by γr(Σ). The ability to communicate rapidly within the network is an important application of domination in social networks. The main aim of this paper is to initiate a study on restrained domination in the realm of different classes of signed graphs.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80236218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
More on decomposition of generalized continuity 更多关于广义连续性的分解
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-07-01 DOI: 10.2478/ausm-2020-0014
B. Roy
{"title":"More on decomposition of generalized continuity","authors":"B. Roy","doi":"10.2478/ausm-2020-0014","DOIUrl":"https://doi.org/10.2478/ausm-2020-0014","url":null,"abstract":"Abstract In this paper a new class of sets termed as ω∗μ-open sets has been introduced and studied. Using these concept, a unified theory for decomposition of (μ, λ)-continuity has been given.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83093667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Collatz conjecture revisited: an elementary generalization 柯拉兹猜想重访:一个初等推广
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-07-01 DOI: 10.2478/ausm-2020-0007
Amauri Gutiérrez
{"title":"Collatz conjecture revisited: an elementary generalization","authors":"Amauri Gutiérrez","doi":"10.2478/ausm-2020-0007","DOIUrl":"https://doi.org/10.2478/ausm-2020-0007","url":null,"abstract":"Abstract Collatz conjecture states that iterating the map that takes even natural number n to n2 {n over 2} and odd natural number n to 3n + 1, will eventually obtain 1. In this paper a new generalization of the Collatz conjecture is analyzed and some interesting results are obtained. Since Collatz conjecture can be seen as a particular case of the generalization introduced in this articule, several more general conjectures are also presented.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84166426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On weak (σ, δ)-rigid rings over Noetherian rings noether环上的弱(σ， δ)-刚性环
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-07-01 DOI: 10.2478/ausm-2020-0001
V. K. Bhat, P. Singh, S. Sharma
{"title":"On weak (σ, δ)-rigid rings over Noetherian rings","authors":"V. K. Bhat, P. Singh, S. Sharma","doi":"10.2478/ausm-2020-0001","DOIUrl":"https://doi.org/10.2478/ausm-2020-0001","url":null,"abstract":"Abstract Let R be a Noetherian integral domain which is also an algebra over ℚ (ℚ is the field of rational numbers). Let σ be an endo-morphism of R and δ a σ-derivation of R. We recall that a ring R is a weak (σ, δ)-rigid ring if a(σ(a)+ δ(a)) ∈ N(R) if and only if a ∈ N(R) for a ∈ R (N(R) is the set of nilpotent elements of R). With this we prove that if R is a Noetherian integral domain which is also an algebra over ℚ, σ an automorphism of R and δ a σ-derivation of R such that R is a weak (σ, δ)-rigid ring, then N(R) is completely semiprime.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73944111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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