Vol. 1 No. 3 (2008): Dedicated to the First International Algebra and Geometry Conference in Armenia

Dedicated to the First International Algebra and Geometry Conference in Armenia

Published: 2008-12-15

Articles

  • Articles

    Algebraic communication channels

    V. K. Leontiev, Gh. L. Movsisyan
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    Abstract

    Modern information theory studies various communication channels modelling certain situations. The basic matter of the present research is the information transmission process from а source to а receiver, and main parameters are the throughput/carrier capacity/transmission capacity and the information transmission speed.

    References
  • Articles

    Interlaced, modular, distributive and boolean bilattices

    Yu. M. Movsisyan
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    Abstract

    We will discuss the concepts of interlaced, modular, distributive, Boolean (DeMorgan) and Ginsberg bilattices with their characterizations by hyperidentities and superproducts.

    References
  • Articles

    About groups with property $(U)$

    Hamid Reza Rostami
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    Abstract

    In this article we prove that for any odd $n \ge 1003$ there exist continuum non isomorphic (simple) groups with property $(U)$, whose $U$- constant satisfies the inequality $u(G) < (3n^4)/2$. The question of finding infinite groups with property $(U)$ was proposed in the joint work by D.Osin and D.Sonkin.

    References
  • Articles

    $SD$-Groups and Embeddings

    Vahagn Mikaelian
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    Abstract

    We show that every countable $SD$-group G can be subnormally embedded into a two-generator $SD$-group $H$. This embedding can have additional properties: if the group $G$ is fully ordered then the group $H$ can be chosen to also be fully ordered. For any non-trivial word set $V$ this embedding can be constructed so that the image of $G$ under the embedding lies in the verbal subgroup $V (H)$ of $H$.

    References