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Analysis of semigroups with soft intersection ideals 具有软交理想的半群的分析
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2022-11-01 DOI: 10.2478/ausm-2022-0012
A. Sezgi̇n, M. Orbay
{"title":"Analysis of semigroups with soft intersection ideals","authors":"A. Sezgi̇n, M. Orbay","doi":"10.2478/ausm-2022-0012","DOIUrl":"https://doi.org/10.2478/ausm-2022-0012","url":null,"abstract":"Abstract In this paper, semisimple semigroups, duo semigroups, right (left) zero semigroups, right (left) simple semigroups, semilattice of left (right) simple semigroups, semilattice of left (right) groups and semilattice of groups are characterized in terms of soft intersection semigroups, soft intersection ideals of semigroups. Moreover, soft normal semigroups are defined and some characterizations of semigroups with soft normality are given.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79139522","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
A power of a meromorphic function sharing a set with its higher order derivative 亚纯函数与它的高阶导数共享一个集合的幂
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2022-11-01 DOI: 10.2478/ausm-2022-0007
H. Karmakar, P. Sahoo
{"title":"A power of a meromorphic function sharing a set with its higher order derivative","authors":"H. Karmakar, P. Sahoo","doi":"10.2478/ausm-2022-0007","DOIUrl":"https://doi.org/10.2478/ausm-2022-0007","url":null,"abstract":"Abstract In this paper, we deduce the form of a nonconstant meromorphic function f when some power of f shares certain set counting multiplicities in the weak sense with the k-th derivative of the power. The results of this paper generalize the results due to Lahiri and Zeng [Afr. Mat. 27 (2016), 941-947].","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74206945","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 logarithm of circular and hyperbolic functions and bounds for exp(±x2) 圆函数和双曲函数的对数及exp(±x2)的界
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2022-11-01 DOI: 10.2478/ausm-2022-0011
J. Sándor
{"title":"On logarithm of circular and hyperbolic functions and bounds for exp(±x2)","authors":"J. Sándor","doi":"10.2478/ausm-2022-0011","DOIUrl":"https://doi.org/10.2478/ausm-2022-0011","url":null,"abstract":"Abstract We show that certain known or new inequalities for the logarithm of circular hyperbolic functions imply bounds for exp(±x2) proved in [1].","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82017034","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
Labels distance in bucket recursive trees with variable capacities of buckets 在桶递归树中用可变桶容量标记距离
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2021-12-01 DOI: 10.2478/ausm-2021-0025
S. Naderi, R. Kazemi, M. Behzadi
{"title":"Labels distance in bucket recursive trees with variable capacities of buckets","authors":"S. Naderi, R. Kazemi, M. Behzadi","doi":"10.2478/ausm-2021-0025","DOIUrl":"https://doi.org/10.2478/ausm-2021-0025","url":null,"abstract":"Abstract The bucket recursive tree is a natural multivariate structure. In this paper, we apply a trivariate generating function approach for studying of the depth and distance quantities in this tree model with variable bucket capacities and give a closed formula for the probability distribution, the expectation and the variance. We show as j → ∞, lim-iting distributions are Gaussian. The results are obtained by presenting partial differential equations for moment generating functions and solving them.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90070886","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
Para-Kenmotsu manifolds admitting semi-symmetric structures 承认半对称结构的Para-Kenmotsu流形
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2021-12-01 DOI: 10.2478/ausm-2021-0029
N. Sarkar, K. Baishya, A. Blaga
{"title":"Para-Kenmotsu manifolds admitting semi-symmetric structures","authors":"N. Sarkar, K. Baishya, A. Blaga","doi":"10.2478/ausm-2021-0029","DOIUrl":"https://doi.org/10.2478/ausm-2021-0029","url":null,"abstract":"Abstract The object of the present paper is to study para-Kenmotsu manifolds satisfying different conditions of semi-symmetric type.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73921118","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
Multiplicity of solutions for Robin problem involving the p(x)-laplacian 涉及p(x)-拉普拉斯算子的Robin问题解的多重性
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2021-12-01 DOI: 10.2478/ausm-2021-0020
H. Belaouidel, A. Ourraoui, N. Tsouli
{"title":"Multiplicity of solutions for Robin problem involving the p(x)-laplacian","authors":"H. Belaouidel, A. Ourraoui, N. Tsouli","doi":"10.2478/ausm-2021-0020","DOIUrl":"https://doi.org/10.2478/ausm-2021-0020","url":null,"abstract":"Abstract This paper is concerned with the existence and multiplicity of solutions for p(x)-Laplacian equations with Robin boundary condition. Our technical approach is based on variational methods.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86895807","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 integral inequalities for a polynomial with zeros outside the unit disk 单位圆盘外带零多项式的几个积分不等式
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2021-12-01 DOI: 10.2478/ausm-2021-0024
A. Mir
{"title":"Some integral inequalities for a polynomial with zeros outside the unit disk","authors":"A. Mir","doi":"10.2478/ausm-2021-0024","DOIUrl":"https://doi.org/10.2478/ausm-2021-0024","url":null,"abstract":"Abstract The goal of this paper is to generalize and refine some previous inequalities between the LP- norms of the sth derivative and of the polynomial itself, in the case when the zeros are outside of the open unit disk.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90842108","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
A common generalization of convolved (u, v)-Lucas first and second kinds p-polynomials 卷积(u, v)-Lucas第一类和第二类p多项式的一般推广
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2021-12-01 DOI: 10.2478/ausm-2021-0019
A. Behera, P. Ray
{"title":"A common generalization of convolved (u, v)-Lucas first and second kinds p-polynomials","authors":"A. Behera, P. Ray","doi":"10.2478/ausm-2021-0019","DOIUrl":"https://doi.org/10.2478/ausm-2021-0019","url":null,"abstract":"Abstract In this note the convolved (u, v)-Lucas first kind and the convolved (u, v)-Lucas second kind p-polynomials are introduced and study some of their properties. Several identities related to the common generalization of convolved (u, v)-Lucas first and second kinds p-polynomials are also presented.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79202216","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 expansive homeomorphism of uniform spaces 关于一致空间的扩张同胚
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2021-12-01 DOI: 10.2478/ausm-2021-0018
A. Barzanouni, E. Shah
{"title":"On expansive homeomorphism of uniform spaces","authors":"A. Barzanouni, E. Shah","doi":"10.2478/ausm-2021-0018","DOIUrl":"https://doi.org/10.2478/ausm-2021-0018","url":null,"abstract":"Abstract We study the notion of expansive homeomorphisms on uniform spaces. It is shown that if there exists a topologically expansive homeomorphism on a uniform space, then the space is always a Hausdor space and hence a regular space. Further, we characterize orbit expansive homeomorphisms in terms of topologically expansive homeomorphisms and conclude that if there exist a topologically expansive homeomorphism on a compact uniform space then the space is always metrizable.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78019951","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 generalized γµ-closed sets and related continuity 关于广义γµ闭集及相关连续性
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2021-12-01 DOI: 10.2478/ausm-2021-0030
R. Sen
{"title":"On generalized γµ-closed sets and related continuity","authors":"R. Sen","doi":"10.2478/ausm-2021-0030","DOIUrl":"https://doi.org/10.2478/ausm-2021-0030","url":null,"abstract":"Abstract In this paper our main interest is to introduce a new type of generalized open sets defined in terms of an operation on a generalized topological space. We have studied some properties of this newly defined sets. As an application, we have introduced some weak separation axioms and discussed some of their properties. Finally, we have studied some preservation theorems in terms of some irresolute functions.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83815394","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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