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Том 56, № 1 (2017)
- Год: 2017
- Статей: 8
- URL: https://journal-vniispk.ru/0002-5232/issue/view/14541
Article
Modularity and Distributivity of 3-Generated Lattices with Special Elements Among Generators
Аннотация
We consider 3-generated lattices whose generating elements possess properties that are, in a sense, close to modularity or distributivity. Those combinations of these properties are specified that are sufficient for a lattice to be modular, and even distributive.
1-12
Algebras of Distributions for Binary Formulas in Countably Categorical Weakly o-Minimal Structures
Аннотация
Algebras of distributions for binary isolating formulas, generalized commutative monoid. Algebras of distributions for binary isolating formulas over a type for countably categorical weakly o-minimal theories are described, and the generalized commutative property of an algebra of distributions for binary isolating formulas over a pair of types for countably categorical weakly o-minimal theories is characterized in terms of convexity rank.
13-36
The Computational Power of Infinite Time Blum–Shub–Smale Machines
Аннотация
Functions that are computable on infinite time Blum–Shub–Smale machines (ITBM) are characterized via iterated Turing jumps, and we propose a normal form for these functions. It is also proved that the set of ITBM computable reals coincides with ℝ∩Lωω.
37-62
Processes and Structures on Approximation Spaces
Аннотация
We introduce the concept of a computability component on an admissible set and consider minimal and maximal computability components on hereditarily finite superstructures as well as jumps corresponding to these components. It is shown that the field of real numbers Σ-reduces to jumps of the maximal computability component on the least admissible set ℍ????(∅). Thus we obtain a result that, in terms of Σ-reducibility, connects real numbers, conceived of as a structure, with real numbers, conceived of as an approximation space. Also we formulate a series of natural open questions.
63-74
Hyperidentities of Quasilinear Clones
80-81
Model-Theoretic Aspects of the Theory of Divisible Rigid Soluble Groups
82-84
Sessions of the Seminar “Algebra i Logika”
85-86
Communications
The Embedding Problem for Computable Projective Planes
75-79