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Higher simple structure sets of lens spaces with the fundamental group of arbitrary order 具有任意序基本群的高简单结构透镜空间集合
IF 0.6
Archivum Mathematicum Pub Date : 2019-09-06 DOI: 10.5817/am2019-5-267
L'udovít Balko, T. Macko, M. Niepel, T. Rusin
{"title":"Higher simple structure sets of lens spaces with the fundamental group of arbitrary order","authors":"L'udovít Balko, T. Macko, M. Niepel, T. Rusin","doi":"10.5817/am2019-5-267","DOIUrl":"https://doi.org/10.5817/am2019-5-267","url":null,"abstract":"Extending work of many authors we calculate the higher simple structure sets of lens spaces in the sense of surgery theory with the fundamental group of arbitrary order. As a corollary we also obtain a calculation of the simple structure sets of the products of lens spaces and spheres of dimension grater or equal to $3$.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"16 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77120028","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 Riemann-Poisson Lie groups 关于黎曼-泊松李群
IF 0.6
Archivum Mathematicum Pub Date : 2019-08-14 DOI: 10.5817/am2020-4-225
B. Alioune, M. Boucetta, Ahmed Sid’Ahmed Lessiad
{"title":"On Riemann-Poisson Lie groups","authors":"B. Alioune, M. Boucetta, Ahmed Sid’Ahmed Lessiad","doi":"10.5817/am2020-4-225","DOIUrl":"https://doi.org/10.5817/am2020-4-225","url":null,"abstract":"A Riemann-Poisson Lie group is a Lie group endowed with a left invariant Riemannian metric and a left invariant Poisson tensor which are compatible in the sense introduced in C.R. Acad. Sci. Paris s'er. {bf I 333} (2001) 763-768. We study these Lie groups and we give a characterization of their Lie algebras. We give also a way of building these Lie algebras and we give the list of such Lie algebras up to dimension 5.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"77 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79735189","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
Unit-regularity and representability for semiartinian $*$-regular rings 半星形$*$-正则环的单位正则性和可表示性
IF 0.6
Archivum Mathematicum Pub Date : 2019-07-31 DOI: 10.5817/am2020-1-43
C. Herrmann
{"title":"Unit-regularity and representability for semiartinian $*$-regular rings","authors":"C. Herrmann","doi":"10.5817/am2020-1-43","DOIUrl":"https://doi.org/10.5817/am2020-1-43","url":null,"abstract":"We show that any semiartinian *-regular ring R is unit-regular; if, in addition, R is subdirectly irreducible then it admits a representation within some inner product space.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"36 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79368424","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
Fixed points with respect to the L-slice homomorphism $sigma _{a} $ 关于l片同态的不动点$ σ _{a} $
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-1-43
K. Sabna, N. R. Mangalambal
{"title":"Fixed points with respect to the L-slice homomorphism $sigma _{a} $","authors":"K. Sabna, N. R. Mangalambal","doi":"10.5817/am2019-1-43","DOIUrl":"https://doi.org/10.5817/am2019-1-43","url":null,"abstract":"","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"35 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75681892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Logarithmically improved blow-up criterion for smooth solutions to the Leray-$alpha $-magnetohydrodynamic equations Leray-$alpha $-磁流体动力学方程光滑解的对数改进爆破判据
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/AM2019-1-55
I. Omrane, S. Gala, Jae‐Myoung Kim, M. Ragusa
{"title":"Logarithmically improved blow-up criterion for smooth solutions to the Leray-$alpha $-magnetohydrodynamic equations","authors":"I. Omrane, S. Gala, Jae‐Myoung Kim, M. Ragusa","doi":"10.5817/AM2019-1-55","DOIUrl":"https://doi.org/10.5817/AM2019-1-55","url":null,"abstract":"(1.1)  ∂tv + (u · ∇)v −∆v +∇π + 2∇|B| 2 = (B · ∇)B, ∂tB + (u · ∇)B − (B · ∇)v −∆B = 0, v = (1− α2∆)u, α > 0, div u = div v = divB = 0, (v,B)|t=0 = (v0, B0),div u0 = div v0 = divB0 = 0 in R3, where v : the fluid velocity field, u : “the filtered” fluid velocity, B : the magnetic field and π : the pressure, are the unknowns; α is the lengthscale parameter that represents the width of the filter. Note that the magnetic field is not regularized. It has lately received significant attention in mathematical fluid dynamics due to its connection to three-dimensional incompressible flows. When α→ 0, the model (1.1) reduce to the following MHD equations:","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72929652","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
Homogeneous Randers spaces admitting just two homogeneous geodesics 齐次兰德空间只允许两个齐次测地线
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-5-281
Z. Dušek
{"title":"Homogeneous Randers spaces admitting just two homogeneous geodesics","authors":"Z. Dušek","doi":"10.5817/am2019-5-281","DOIUrl":"https://doi.org/10.5817/am2019-5-281","url":null,"abstract":"The existence of a homogeneous geodesic in homogeneous Finsler manifolds was investigated and positively answered in previous papers. It is conjectured that this result can be improved, namely that any homogeneous Finsler manifold admits at least two homogenous geodesics. Examples of homogeneous Randers manifolds admitting just two homogeneous geodesics are presented.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"82 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73059291","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
Topological degree theory in fuzzy metric spaces 模糊度量空间中的拓扑度理论
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/AM2019-2-83
M. Rashid
{"title":"Topological degree theory in fuzzy metric spaces","authors":"M. Rashid","doi":"10.5817/AM2019-2-83","DOIUrl":"https://doi.org/10.5817/AM2019-2-83","url":null,"abstract":". The aim of this paper is to modify the theory to fuzzy metric spaces, a natural extension of probabilistic ones. More precisely, the modification concerns fuzzily normed linear spaces, and, after defining a fuzzy concept of completeness, fuzzy Banach spaces. After discussing some properties of mappings with compact images, we define the (Leray-Schauder) degree by a sort of colimit extension of (already assumed) finite dimensional ones. Then, several properties of thus defined concept are proved. As an application, a fixed point theorem in the given context is presented.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"7 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84316820","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 hyponormal operators in Krein spaces 关于Krein空间中的次正规算子
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-4-249
Kevin Esmeral, O. Ferrer, Jorge Jalk, Boris Lora Castro
{"title":"On hyponormal operators in Krein spaces","authors":"Kevin Esmeral, O. Ferrer, Jorge Jalk, Boris Lora Castro","doi":"10.5817/am2019-4-249","DOIUrl":"https://doi.org/10.5817/am2019-4-249","url":null,"abstract":". In this paper the hyponormal operators on Krein spaces are introduced. We state conditions for the hyponormality of bounded operators focusing, in particular, on those operators T for which there exists a fundamental decomposition K = K + ⊕ K − of the Krein space K with K + and K − invariant under T .","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"11 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90435976","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 adjoint map of homotopy abelian DG-Lie algebras 关于同伦阿贝尔dg -李代数的伴随映射
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/AM2019-1-7
Donatella Iacono, M. Manetti
{"title":"On the adjoint map of homotopy abelian DG-Lie algebras","authors":"Donatella Iacono, M. Manetti","doi":"10.5817/AM2019-1-7","DOIUrl":"https://doi.org/10.5817/AM2019-1-7","url":null,"abstract":". We prove that a differential graded Lie algebra is homotopy abelian if its adjoint map into its cochain complex of derivations is trivial in cohomology. The converse is true for cofibrant algebras and false in general.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"15 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81834766","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 Connes-amenability of completely bounded multiplier Banach algebras 算子cones -完全有界乘子Banach代数的适应性
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/AM2019-1-31
B. Hayati, A. Bodaghi, M. Amini
{"title":"Operator Connes-amenability of completely bounded multiplier Banach algebras","authors":"B. Hayati, A. Bodaghi, M. Amini","doi":"10.5817/AM2019-1-31","DOIUrl":"https://doi.org/10.5817/AM2019-1-31","url":null,"abstract":"For a completely contractive Banach algebra B, we find conditions under which the completely bounded multiplier algebra Mcb(B) is a dual Banach algebra and the operator amenability of B is equivalent to the operator Connes-amenability of Mcb(B). We also show that, in this case, these are equivalent to the existence of a normal virtual operator diagonal.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"17 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84371552","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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