{"title":"On regular anti-congruence in anti-ordered semigroups","authors":"A. D. Romano","doi":"10.2298/PIM0795095R","DOIUrl":"https://doi.org/10.2298/PIM0795095R","url":null,"abstract":"For an anti-congruence q we say that it is regular anti-congruence on semigroup (S,=, _=, ·, α) ordered under anti-order α if there exists an antiorder θ on S/q such that the natural epimorphism is a reverse isotone homomorphism of semigroups. Anti-congruence q is regular if there exists a quasi-antiorder σ on S under α such that q = σ ∪ σ−1. Besides, for regular anti-congruence q on S, a construction of the maximal quasi-antiorder relation under α with respect to q is shown.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"79 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":"130529916","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}
{"title":"The distribution of integers n divisible by lω(n)","authors":"F. Luca, A. Sankaranarayanan","doi":"10.2298/PIM0476089L","DOIUrl":"https://doi.org/10.2298/PIM0476089L","url":null,"abstract":"Let !(n) denote the number of distinct prime factors of the posi- tive integer n. We study the cardinality of the set fn x : l !(n) j ng, where l 2 is any arbitrary positive integer which is suciently small with respect to x.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"127 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":"123972314","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}
{"title":"Loewner chains and biholomorphic mappings in Cn and reflexive complex Banach spaces","authors":"Ian D. Graham, G. Kohr, A. J. Pfaltzgraff","doi":"10.2298/PIM0475199G","DOIUrl":"https://doi.org/10.2298/PIM0475199G","url":null,"abstract":"This paper is a survey of very recent results about biholomorphic mappings of the ball in Cn and in reflexive complex Banach spaces. After recalling existence and regularity results in Cn, we present certain applications including univalence criteria and quasiconformal extension results. We also consider nonuniqueness phenomena for solutions of the Loewner differential equation, and a geometric characterization of Loewner chains which satisfy a growth condition in t based on a generalization of the Caratheodory convergence theorem. Finally we describe some properties of Loewner chains and the Loewner equation on the unit ball of a reflexive complex Banach space.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"10 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":"121341821","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}
{"title":"A Krasnoselskii cone compression result for multimaps in the S-KKM class","authors":"D. Oregan, N. Shahzad, P. Agarwal","doi":"10.2298/PIM0591079O","DOIUrl":"https://doi.org/10.2298/PIM0591079O","url":null,"abstract":"The aim of this article is obtain a Krasnoselski cone compression theorem for multimaps in the class S-KKM.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"26 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":"114092851","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}
{"title":"Covering properties of continua and mappings","authors":"J. J. Charatonik","doi":"10.2298/PIM0374115C","DOIUrl":"https://doi.org/10.2298/PIM0374115C","url":null,"abstract":"It is known that monotone mappings preserve the covering property for continua Similar result is proved for having the covering property hereditarily. An example is constructed which shows that the two results cannot be extended to almost monotone mappings.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"106 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":"113965782","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}
{"title":"Asimptoticeskoe razlozenie dlja resenija neodnorodnogo raznostnogo uravnenija obscego vida","authors":"M. S. Sgibnev","doi":"10.2298/PIM140224001S","DOIUrl":"https://doi.org/10.2298/PIM140224001S","url":null,"abstract":"We obtain an asymptotic expansion for the solution of a nonhomogeneous \u0000 difference equation of general type. The influence of the roots of the \u0000 characteristic equation is taken into a count. An integral estimate with \u0000 submultiplicative weight function is established for the remainder term \u0000 depending on the existence of a corresponding submultiplicative moment of \u0000 the free term of the equation.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"46 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":"114686848","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}
{"title":"A new theorem on absolute matrix summability of fourier series","authors":"Ş. Yıldız","doi":"10.2298/PIM1716107Y","DOIUrl":"https://doi.org/10.2298/PIM1716107Y","url":null,"abstract":"We generalize a main theorem dealing with absolute weighted mean summability \u0000 of Fourier series to the |A,pn|k summability factors of Fourier series \u0000 under weaker conditions. Also some new and known results are obtained.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"18 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":"121702888","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}
{"title":"Holder spaces of quasiconformal mappings","authors":"L. Kovalev","doi":"10.2298/PIM0475087K","DOIUrl":"https://doi.org/10.2298/PIM0475087K","url":null,"abstract":"We prove that a K-quasiconformal mapping belongs to the little Holder space C0,1/K if and only if its local modulus of continuity has an appropriate order of vanishing at every point. No such characterization is possible for Holder spaces with exponent greater than 1/K.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"89 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":"134409300","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}
{"title":"A 2-DIMENSIONAL ALGEBRAIC VARIETY WITH 27 RECTILINEAR GENERATORS AND 108 TRISECANTS AND ITS CONNECTION WITH THE MAXIMAL EXCEPTIONAL SIMPLE LIE GROUP","authors":"B. Rosenfeld","doi":"10.2298/PIM0591061R","DOIUrl":"https://doi.org/10.2298/PIM0591061R","url":null,"abstract":"A 2-dimensional algebraic variety in 4-dimensional projective space determining a regular configuration is considered and its connection with sim- ple exceptional Lie group E8 is found.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"21 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":"132974809","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}