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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2025. Vol 52

Heritability of Types of Pregeometry with Respect to Compositions of Structures

Author(s)
Sergey B. Malyshev1

1Novosibirsk State Technical University, Novosibirsk, Russian Federation

Abstract
In this paper, we investigate how the pregeometry arising from the composition of two predicate signature structures inherits the types of pregeometries of the original stuctures. We establish that in the case of degeneracy, modularity and locally finiteness of a graph signature’s pregeometry, the pregeometry of their composition inherits the corresponding properties. We also give counterexamples to the converse statement.
About the Authors
Sergey B. Malyshev, Novosibirsk State Technical University, Novosibirsk, 630073, Russian Federation, sergei2-mal1@yandex.ru
For citation
Malyshev S. B. Heritability of Types of Pregeometry with Respect to Compositions of Structures. The Bulletin of Irkutsk State University. Series Mathematics, 2025, vol. 52, pp. 162–174. (in Russian)

https://doi.org/10.26516/1997-7670.2025.52.162

Keywords
pregeometry, structure composition, degeneracy, modularity, locally finite, algebraic closure
UDC
510.67
MSC
03C30, 03C65
DOI
https://doi.org/10.26516/1997-7670.2025.52.162
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