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Topological Algebra and its Applications最新文献

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Automatic continuity of homomorphisms between topological inverse semigroups 拓扑逆半群之间同态的自动连续性
Topological Algebra and its Applications Pub Date : 2018-04-13 DOI: 10.1515/taa-2018-0004
I. Pastukhova
{"title":"Automatic continuity of homomorphisms between topological inverse semigroups","authors":"I. Pastukhova","doi":"10.1515/taa-2018-0004","DOIUrl":"https://doi.org/10.1515/taa-2018-0004","url":null,"abstract":"Abstract We find conditions on topological inverse semigroups X, Y guaranteeing the continuity of any homomorphism h : X → Y having continuous restrictions to any subsemilattice and any subgroup of X.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"6 1","pages":"60 - 66"},"PeriodicalIF":0.0,"publicationDate":"2018-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2018-0004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48337411","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
Ordered sets as uniformities 有序集合是一致的
Topological Algebra and its Applications Pub Date : 2018-03-28 DOI: 10.1515/taa-2018-0007
M. Husek
{"title":"Ordered sets as uniformities","authors":"M. Husek","doi":"10.1515/taa-2018-0007","DOIUrl":"https://doi.org/10.1515/taa-2018-0007","url":null,"abstract":"Abstract In [7] a relation between completeness of certain uniformity on ordered sets and restrictions of homeomorphisms of compactifications is described. We shall add more details here and correct one proof.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"6 1","pages":"67 - 76"},"PeriodicalIF":0.0,"publicationDate":"2018-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2018-0007","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48101803","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
Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators 与哈密顿算子相关的Lie代数和Balinsky-Novikov代数的例子
Topological Algebra and its Applications Pub Date : 2018-03-28 DOI: 10.1515/taa-2018-0005
O. Artemovych, A. Prykarpatski, D. Blackmore
{"title":"Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators","authors":"O. Artemovych, A. Prykarpatski, D. Blackmore","doi":"10.1515/taa-2018-0005","DOIUrl":"https://doi.org/10.1515/taa-2018-0005","url":null,"abstract":"Abstract We study algebraic properties of Poisson brackets on non-associative non-commutative algebras, compatible with their multiplicative structure. Special attention is paid to the Poisson brackets of the Lie-Poisson type, related with the special Lie-structures on the differential-topological torus and brane algebras, generalizing those studied before by Novikov-Balinsky and Gelfand-Dorfman. Illustrative examples of Lie and Balinsky-Novikov algebras are discussed in detail. The non-associative structures (induced by derivation and endomorphism) of commutative algebras related to Lie and Balinsky-Novikov algebras are described in depth.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"6 1","pages":"43 - 52"},"PeriodicalIF":0.0,"publicationDate":"2018-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2018-0005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43951952","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: 4
An Application for Descriptive Nearness: Iris Recognition 描述接近度的应用:虹膜识别
Topological Algebra and its Applications Pub Date : 2017-12-20 DOI: 10.1515/taa-2017-0006
Kadirhan Polat
{"title":"An Application for Descriptive Nearness: Iris Recognition","authors":"Kadirhan Polat","doi":"10.1515/taa-2017-0006","DOIUrl":"https://doi.org/10.1515/taa-2017-0006","url":null,"abstract":"Abstract Near Set Theory has various applications in the literature. In this paper, using the concept descriptive nearness, we show how to perform iris recognition. This process has a few algorithms given via Mathematica Script Language.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"5 1","pages":"33 - 36"},"PeriodicalIF":0.0,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2017-0006","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42195101","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
Coproduct of Crossed A-Modules of R-Algebroids r -代数群交叉a模的余积
Topological Algebra and its Applications Pub Date : 2017-12-20 DOI: 10.1515/taa-2017-0007
Osman Avcıoğlu, I. Akça
{"title":"Coproduct of Crossed A-Modules of R-Algebroids","authors":"Osman Avcıoğlu, I. Akça","doi":"10.1515/taa-2017-0007","DOIUrl":"https://doi.org/10.1515/taa-2017-0007","url":null,"abstract":"Abstract In this study we construct, in the category XAlg(R) / A of crossed A-modules of R-algebroids, the coproduct of given two crossed A-modules M = (μ : M → A) and N = (ɳ : N → A) of R-algebroids in two different ways: Firstly we construct the coproduct M ᴼ* N by using the free product M * N of pre-R-algebroids M and N, and then we construct the coproduct M ᴼ⋉ N by using the semidirect product M ⋉ N of M and N via μ. Finally we construct an isomorphism betweenM ᴼ* N and M ᴼ⋉ N.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"5 1","pages":"37 - 48"},"PeriodicalIF":0.0,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2017-0007","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46177746","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
Interval-Valued Fuzzy Soft Graphs 区间值模糊软图
Topological Algebra and its Applications Pub Date : 2017-12-20 DOI: 10.1515/taa-2017-0004
Onur Zihni, Yıldıray Çelik, Guven Kara
{"title":"Interval-Valued Fuzzy Soft Graphs","authors":"Onur Zihni, Yıldıray Çelik, Guven Kara","doi":"10.1515/taa-2017-0004","DOIUrl":"https://doi.org/10.1515/taa-2017-0004","url":null,"abstract":"Abstract In this paper, we combine concepts of interval-valued fuzzy soft sets and graph theory. Then we introduce notations of interval-valued fuzzy soft graphs and complete interval-valued fuzzy soft graphs. We also present several different types operations including cartesian product, strong product and composition on interval-valued fuzzy soft graphs and investigate some properties of them.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"5 1","pages":"19 - 27"},"PeriodicalIF":0.0,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2017-0004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44999731","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: 5
A new view of some operators and their properties in terms of the Non-Newtonian Calculus 从非牛顿微积分的角度看某些算子及其性质
Topological Algebra and its Applications Pub Date : 2017-12-20 DOI: 10.1515/taa-2017-0008
E. Ünlüyol, Seren Salaş, I. Işcan
{"title":"A new view of some operators and their properties in terms of the Non-Newtonian Calculus","authors":"E. Ünlüyol, Seren Salaş, I. Işcan","doi":"10.1515/taa-2017-0008","DOIUrl":"https://doi.org/10.1515/taa-2017-0008","url":null,"abstract":"Abstract Differentiation and integration are basic operations of calculus and analysis. Indeed, they are in- finitesimal versions of substraction and addition operations on numbers, respectively. From 1967 till 1970 Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, converting the roles of substraction and addition into division and multiplication, respectively and thus established a new calculus, called Non-Newtonian Calculus. So in this paper, it is investigated to a new view of some operators and their properties in terms of Non-Newtonian Calculus. Then we compare with the Newtonian and Non-Newtonian Calculus.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"5 1","pages":"49 - 54"},"PeriodicalIF":0.0,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2017-0008","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41987735","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 The Jacobsthal-Padovan p-Sequences in Groups 群中的Jacobthal-Padovan p序列
Topological Algebra and its Applications Pub Date : 2017-12-20 DOI: 10.1515/taa-2017-0010
Yeşim Aküzüm, Ö. Deveci
{"title":"On The Jacobsthal-Padovan p-Sequences in Groups","authors":"Yeşim Aküzüm, Ö. Deveci","doi":"10.1515/taa-2017-0010","DOIUrl":"https://doi.org/10.1515/taa-2017-0010","url":null,"abstract":"Abstract In [5], Deveci defined the Jacobsthal-Padovan p-sequence. In this paper,we extend this sequence to groups. Then we define the Jacobsthal-Padovan p-orbit and we study the Jacobsthal-Padovan p-orbits of the finite groups in detail. Furthermore, we obtain the lengths of the periods of the Jacobsthal-Padovan p-orbits of the Fox groups G1,l for l ≥ 3 as applications of the results.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"5 1","pages":"63 - 66"},"PeriodicalIF":0.0,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2017-0010","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49438005","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
On the more general Hermite-Hadamard type inequalities for convex functions via conformable fractional integrals 通过可合分数积分的凸函数的更一般的Hermite-Hadamard型不等式
Topological Algebra and its Applications Pub Date : 2017-12-20 DOI: 10.1515/taa-2017-0011
E. Set, İ. Mumcu, M. Özdemir
{"title":"On the more general Hermite-Hadamard type inequalities for convex functions via conformable fractional integrals","authors":"E. Set, İ. Mumcu, M. Özdemir","doi":"10.1515/taa-2017-0011","DOIUrl":"https://doi.org/10.1515/taa-2017-0011","url":null,"abstract":"","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"5 1","pages":"67 - 73"},"PeriodicalIF":0.0,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2017-0011","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47846950","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: 5
A study about the Tutte polynomials of benzenoid chains 关于类苯链的Tutte多项式的研究
Topological Algebra and its Applications Pub Date : 2017-12-01 DOI: 10.1515/taa-2017-0005
A. Şahin
{"title":"A study about the Tutte polynomials of benzenoid chains","authors":"A. Şahin","doi":"10.1515/taa-2017-0005","DOIUrl":"https://doi.org/10.1515/taa-2017-0005","url":null,"abstract":"Abstract The Tutte polynomials for signed graphs were introduced by Kauffman. In 2012, Fath-Tabar, Gholam-Rezaeı and Ashrafı presented a formula for computing Tutte polynomial of a benzenoid chain. From this point on, we have also calculated the Tutte polynomials of signed graphs of benzenoid chains in this study.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"5 1","pages":"28 - 32"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2017-0005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48600842","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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