DOI: https://doi.org/10.36719/2663-4619/113/296-299
Irada Sharifova
Azerbaijan State Pedagogical University
https://orcid.org/0009-0008-3970-8061
irada.sharifova.85@mail.ru
Application of Cartesian Products and Filters in Replic Systems
Abstract
The theories of manifolds and quasimanifolds investigate classes of algebraic systems defined by identities, based on the foundations of algebra and mathematical logic. The initial results on quasimanifolds were derived in connection with the solution of specific algebraic problems. As an independent branch of algebra and logic, the theory of quasimanifolds has been developed in the works of Malcev, Jónsson, McKenzie, and others. The first general results in this field were obtained using model-theoretic methods, which have made it possible to address numerous problems in model theory. Therefore, this research is of significant importance for the study of topological manifolds.
Keywords: manifold, quasimanifold, topology, replic systems, Cartesian products