{"title":"HOMOGENEOUS IDEALS AND JACOBSON RADICAL","authors":"N.G. Najaryan","doi":"10.46991/pysu:a/2017.51.2.193","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.2.193","url":null,"abstract":"In this paper the Jacobson radical of an algebra$Flangle Xrangle / H$ is studied, where FhXi is a free associative algebra of countable rank over infinite field $F$ and $H$ is a homogeneous ideal of the algebr$Flangle Xrangle$. The following theorem is proved: the Jacobson radical of an algebra $Flangle Xrangle / H$ is a nil ideal.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"111 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80619694","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":"ON TRANSLATION OF TYPED FUNCTIONAL PROGRAMS INTO UNTYPED FUNCTIONAL PROGRAMS","authors":"S. A. Nigiyan, T. V. Khondkaryan","doi":"10.46991/pysu:a/2017.51.2.177","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.2.177","url":null,"abstract":"In this paper typed and untyped functional programs are considered. Typed functional programs use variables of any order and constants of order $le$1, where constants of order 1 are strong computable, $lambda$-definable functions with indeterminate values of arguments. The basic semantics of a typed functional program is a function with indeterminate values of arguments, which is the main component of its least solution. The basic semantics of an untyped functional program is an untyped $lambda$-term, which is defined by means of a fixed point combinator. An algorithm that translates typed functional program $P$ into untyped functional program $P'$ is suggested. It is proved that the basic semantics of the program $P'$ $lambda$-defines the basic semantics of the program $P$.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82688194","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":"ON SOLVABILITY OF AN INFINITE NONLINEAR SYSTEM OF ALGEBRAIC EQUATIONS WITH TEOPLITZ–HANKEL MATRICES","authors":"K. Khachatryan, M. Avetisyan","doi":"10.46991/pysu:a/2017.51.2.158","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.2.158","url":null,"abstract":"In the present paper a special class of infinite nonlinear system of algebraic equations with Teoplitz–Hankel matrices is studied. Above mentioned class of equations has direct applications in radiative transfer theory. Existence componentwise positive solutions for the system in space l1 are proved and some examples for mentioned equations, representing separate interest are given.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84336837","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":"NON-CLASSICAL PROBLEM OF BEND OF AN ORTHOTROPIC ANNULAR PLATE OF VARIABLE THICKNESS WITH AN ELASTICALLY CLAMPED SUPPORT","authors":"R. Kirakosyan, S. P. Stepanyan","doi":"10.46991/pysu:a/2017.51.2.168","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.2.168","url":null,"abstract":"A model of elastically clamped support for an inner edge of an axisymmetric annular round bending plate is proposed. Values of parameters of the support as well as relationship between them is determined. With the collocation method the problem of bending of a cylindrically orthotropic annual plate of a variable thickness under a uniformly distributed load is solved taking into account the transverse shear. It is assumed that the inner edge of the plate is elastically fastened and the outer one is hingedly supported. Based on the analysis of calculated values of immeasurable quantities qualitative conclusions are drawn.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78175937","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":"ON AUTOMORPHISMS OF THE RELATIVELY FREE GROUPS SATISFYING THE IDENTITY $[x^n; y] = 1$","authors":"Sh. A. Stepanyan","doi":"10.46991/pysu:a/2017.51.2.196","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.2.196","url":null,"abstract":"We prove that if an automorphism j of the relatively free group of the group variety, defined by the identity relation $[x^n; y] = 1$, acts identically on its center, then j has either infinite or odd order, where $ngeq 665$ is an arbitrary odd number.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"162 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74795935","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":"ON RECOVERY OF A FRANKLIN SERIES FROM ITS SUM","authors":"K. Keryan","doi":"10.46991/pysu:a/2017.51.2.151","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.2.151","url":null,"abstract":"In an earlier work of author a theorem on recovery of Franklin series from its sum under some conditions was obtained. In present article it is shown that to some extent these conditions are necessary.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80147136","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":"DEFINITION OF CONTROL SIGNALS FOR PERFORMING CERTAIN GATES BY KERR CELLS IN A NONLINEAR RESONATOR","authors":"H. Karayan, A. G. Chibukhchyan","doi":"10.46991/pysu:a/2017.51.2.199","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.2.199","url":null,"abstract":"Considered the effects of external optical signals on the entangled states of the Fock of Kerr qubits in a nonlinear resonator. The necessary time dependence of the Hamiltonian for the realization of negation, Hadamard and controlled negation operators for the algebra of quantum logic have been found.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84629779","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":"ON THE CONDITION OF PLANAR LOCALIZED VIBRATIONS APPEARANCE IN THE VICINITY OF THE FREE EDGE OF A THIN RECTANGULAR PLATE","authors":"M. Belubekyan","doi":"10.46991/pysu:a/2017.51.1.042","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.042","url":null,"abstract":"On the basis of the equations of generalized plane stress state the problems of planar vibrations of a rectangular thin plate are investigated. It is established possibility of the appearance of vibrations with amplitude decreasing exponentially, when moving from free edge to the opposite fixed edge. The conditions of the appearance of such localized vibrations depending on the size of the plate and the methods of fixation of other three sides are obtained.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"97 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73843094","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":"ELASTIC STRAIN DISTRIBUTION IN ONE LAYER QUANTUM RING SUPERLATTICE","authors":"V. Mughnetsyan, A. Kirakosyan","doi":"10.46991/pysu:a/2017.51.1.121","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.121","url":null,"abstract":"The elastic strain distribution in one layer InAs/GaAs quantum ring superlattice is calculated using the Green function method. The dependencies of the strain tensor components on spatial coordinate in three different directions are obtained. The comparison of the obtained results with ones for a single quantum ring shows that the effect of the matrix material on the strain distribution inside the ring is more pronounced in the case of single quantum ring. The behavior of the strain tensor components in different directions is strongly different both for the single quantum ring and quantum ring superlattice due to the anisotropy of the crystal lattice.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83640564","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":"EFFECT OF LIGAND BINDING ON FUNCTIONALITY OF DNA FIELD-EFFECT TRANSISTOR","authors":"Y. Mamasakhlisov, A. Antonyan, A. Hakobyan","doi":"10.46991/pysu:a/2017.51.1.066","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.066","url":null,"abstract":"Motivated by the prospects of developing DNA field-effect transistors, as tools for a variety of application fields such as medical diagnostics, environmental pollutants monitoring, biological weapons defense, and taking into account that the efficiency of DNA-sensors depends on the precise prediction of experimental parameters responsible for thermostability of nucleic acids duplexes and specific times of formation of DNA duplexes, we analyze the factors influencing both the thermodynamics of hybridization and the stability of DNA–DNA and DNA–RNA duplexes. In this work the case of competition-free DNA hybridization is analyzed. It is shown how the intercalating ligands effectively increase the binding constant for the target sequences and thus affects the sensitivity of the DNA-chip.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"78 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82380602","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}