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A case of non-identity difference order preserving transformation semigroup 一类非恒等差分保序变换半群
Journal of Semigroup Theory and Applications Pub Date : 2019-10-10 DOI: 10.28919/jsta/4133
Jude A. Omelebele, U. Asibong-Ibe
{"title":"A case of non-identity difference order preserving transformation semigroup","authors":"Jude A. Omelebele, U. Asibong-Ibe","doi":"10.28919/jsta/4133","DOIUrl":"https://doi.org/10.28919/jsta/4133","url":null,"abstract":"We investigate the order preserving transformation semigroup 𝒪n for non-identity difference order preserving transformation ID𝒪n and obtain a subsemigroup S. The properties of both S and ID𝒪n are also obtained. We further obtain the work done and average work done by S.","PeriodicalId":138064,"journal":{"name":"Journal of Semigroup Theory and Applications","volume":"169 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134075174","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
Operator Lipschitz estimate functions on Banach spaces Banach空间上的算子Lipschitz估计函数
Journal of Semigroup Theory and Applications Pub Date : 2019-09-17 DOI: 10.28919/jsta/4116
Simon Joseph, Arafa Dawood, Nagat Suoliman, Fatin Saeed, M. Mustafa
{"title":"Operator Lipschitz estimate functions on Banach spaces","authors":"Simon Joseph, Arafa Dawood, Nagat Suoliman, Fatin Saeed, M. Mustafa","doi":"10.28919/jsta/4116","DOIUrl":"https://doi.org/10.28919/jsta/4116","url":null,"abstract":"In this paper, let X, Y be Banach spaces and let ℒ(X, Y) be the space of bounded linear sequence of operators from X to Y. We develop the theory of double sequence of operators integrals on ℒ(X, Y) and apply this theory to obtain commutator series estimates, for a large class of functions 𝑓𝑗 , where 𝐴𝑗 ∈ ℒ(𝑋), B𝑗 ∈ ℒ(𝑌) are scalar type the sequence of operators and 𝑆 ∈ ℒ(𝑋, 𝑌). In particular, we establish this estimate for 𝑓𝑗 (1 + 𝜖): = |1 + 𝜖| and for diagonalizable estimates derive hold for diagonalizable matrices with a constant independent of the size of the sequence of operators on 𝑋 = l(1+𝜖) and 𝑌 = l(1+𝜖) , for 𝜖 = 0, and X = Y = c0. Also, we obtain results for 𝜖 ≥ 0, studied the estimate above [1] in the setting of Banach ideals in ℒ(𝑋, 𝑌).","PeriodicalId":138064,"journal":{"name":"Journal of Semigroup Theory and Applications","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123499616","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
Common fixed point in D∗ metric spaces D *度量空间中的公共不动点
Journal of Semigroup Theory and Applications Pub Date : 2019-06-26 DOI: 10.28919/jsta/3743
Neveen Alzude, A. Tallafha
{"title":"Common fixed point in D∗ metric spaces","authors":"Neveen Alzude, A. Tallafha","doi":"10.28919/jsta/3743","DOIUrl":"https://doi.org/10.28919/jsta/3743","url":null,"abstract":"In this paper we shall obtaine a new results conserning fixed point in D ∗ Metric Spaces, besides we correct the proves of some results obtaned by, T. Veerapandi and AJI. M Pillai in [35].","PeriodicalId":138064,"journal":{"name":"Journal of Semigroup Theory and Applications","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121661820","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
Laguerre equation and fractional Laguerre polynomials 拉盖尔方程和分数拉盖尔多项式
Journal of Semigroup Theory and Applications Pub Date : 2019-05-21 DOI: 10.28919/jsta/4074
M. A. Hammad, Bilal Albarmawi, A. Shmasneh, Amer Dababneh
{"title":"Laguerre equation and fractional Laguerre polynomials","authors":"M. A. Hammad, Bilal Albarmawi, A. Shmasneh, Amer Dababneh","doi":"10.28919/jsta/4074","DOIUrl":"https://doi.org/10.28919/jsta/4074","url":null,"abstract":"In this paper we introduce the concept of regular singular fractional point and use the technique of fractional power series to solve the fractional Laguerre equation. Then we get the factional Laguerre polynomials.","PeriodicalId":138064,"journal":{"name":"Journal of Semigroup Theory and Applications","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122987526","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
Modified semi-linear uniform spaces and new types of contractions 修正半线性均匀空间与新型收缩
Journal of Semigroup Theory and Applications Pub Date : 2019-05-14 DOI: 10.28919/jsta/3988
S. Alhihi, Amani. Rawashdeh, A. Tallafha
{"title":"Modified semi-linear uniform spaces and new types of contractions","authors":"S. Alhihi, Amani. Rawashdeh, A. Tallafha","doi":"10.28919/jsta/3988","DOIUrl":"https://doi.org/10.28919/jsta/3988","url":null,"abstract":"In 2009 Tallafha, A. and Khalil, R. defined a new type of uniform space namely, semi-linear uniform space [8]. Later Tallafha, A. in [9], [10] and [11], Alhihi, S. in [1] and Tallafha, A. and Alhihi, S. in [12], gave more properties of semi-linear uniform spaces. Also Lipschitz condition and contraction mapping on semi-linear uniform spaces are defined, which enables one to study fixed point for such functions. In this article we shall define a modified semi-linear uniform space and a new type of contractions on semilinear uniform spaces, finally we ask the following natural question. If f is a contraction from a complete modified semi-linear uniform space (X,Γ) to itself, is f has a unique fixed point.","PeriodicalId":138064,"journal":{"name":"Journal of Semigroup Theory and Applications","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134007088","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 algebraic properties of order-preserving full contraction transformation semigroup 保序满收缩变换半群的一些代数性质
Journal of Semigroup Theory and Applications Pub Date : 2019-04-01 DOI: 10.28919/jsta/3931
G. R. Ibrahim, A. Imam, A. D. Adeshola, G. Bakare
{"title":"Some algebraic properties of order-preserving full contraction transformation semigroup","authors":"G. R. Ibrahim, A. Imam, A. D. Adeshola, G. Bakare","doi":"10.28919/jsta/3931","DOIUrl":"https://doi.org/10.28919/jsta/3931","url":null,"abstract":"Let $X_{n}$ be a finite set, $CT_{n}$ the semigroup of full contraction and $OCT_{n}$ order-preserving full contraction transformation semigroup of a finite set. In this paper the Local and global U-depth as well as the status of $OCT_{n}$ were investigated where U is the generating set. The local and global depth were found from the known generating Set of $OCT_{n}$ and also, the status of the semigroup $OCT_{n}$ was obtained from the product of global depth and the order of generating of $OCT_{n}$. For $alphain OCT_{n}$, local depth of α is equal to its defect, global depth and status of $OCT_{n}$ are $ n-1$ and $2(n-1)^{2}$ respectively. We also look at the structure of Green’s relations of order-preserving full contraction transformation semigroup.","PeriodicalId":138064,"journal":{"name":"Journal of Semigroup Theory and Applications","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121795213","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 pairwise C-closed space in bitopological space 双拓扑空间中的成对c闭空间
Journal of Semigroup Theory and Applications Pub Date : 2019-01-28 DOI: 10.28919/jsta/3816
Nosaiba M. Omar, H. Hdeib
{"title":"On pairwise C-closed space in bitopological space","authors":"Nosaiba M. Omar, H. Hdeib","doi":"10.28919/jsta/3816","DOIUrl":"https://doi.org/10.28919/jsta/3816","url":null,"abstract":"In this paper, we will obtain several results concerning the properties of pairwise C-closed spaces and to study the relations of pairwise C-closed spaces with some related pairwise topological properties like pairwise compactness, sequential spaces, pairwise quasi-k spaces and pairwise C-sequential spaces.","PeriodicalId":138064,"journal":{"name":"Journal of Semigroup Theory and Applications","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131969984","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
Some characterizations of amenable semigroups 可服从半群的一些特征
Journal of Semigroup Theory and Applications Pub Date : 2018-12-28 DOI: 10.28919/jsta/3849
O. Ogunsola, I. E. Daniel
{"title":"Some characterizations of amenable semigroups","authors":"O. Ogunsola, I. E. Daniel","doi":"10.28919/jsta/3849","DOIUrl":"https://doi.org/10.28919/jsta/3849","url":null,"abstract":"In this paper, we give a survey of some known results on amenable semigroups with different characterizations using some classes of semigroups which include right stationary semigroups, cancellative semigroups, inverse semigroups, finitely generated semigroups, Clifford $omega$-semigroups and inverse $omega$- semigroups.","PeriodicalId":138064,"journal":{"name":"Journal of Semigroup Theory and Applications","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115975565","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 the decomposition of completely regular ordered semigroups into union of left and right simple ordered semigroups 关于完全正则有序半群分解为左右简单有序半群并的问题
Journal of Semigroup Theory and Applications Pub Date : 1900-01-01 DOI: 10.28919/jsta/7067
{"title":"On the decomposition of completely regular ordered semigroups into union of left and right simple ordered semigroups","authors":"","doi":"10.28919/jsta/7067","DOIUrl":"https://doi.org/10.28919/jsta/7067","url":null,"abstract":"","PeriodicalId":138064,"journal":{"name":"Journal of Semigroup Theory and Applications","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115728448","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 ω-cosets and partial right congruences on rhotrix ample semigroups 菱形样半群上的ω-余集和偏右同余
Journal of Semigroup Theory and Applications Pub Date : 1900-01-01 DOI: 10.28919/jsta/8044
{"title":"On ω-cosets and partial right congruences on rhotrix ample semigroups","authors":"","doi":"10.28919/jsta/8044","DOIUrl":"https://doi.org/10.28919/jsta/8044","url":null,"abstract":"","PeriodicalId":138064,"journal":{"name":"Journal of Semigroup Theory and Applications","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128152810","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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