13 papers
On the parallelepipeds in algebra and topology
Igor Bayak
In this paper we classify the closed orientable manifolds of arbitrary dimension.
Algebra and topology of factor-lattices
Igor Bayak
In this paper we investigate the relation between Abelian and non-Abelian groups of parity. The Abelian groups of parity are formed as kernels of homomorphisms of parity in group $…
Gravity model for topological features on a cylindrical manifold
Igor Bayak
A model aimed at understanding quantum gravity in terms of Birkhoff's approach is discussed. The geometry of this model is constructed by using a winding map of Minkowski space int…
On the group of mirror symmetries
Igor Bayak
In this paper we use the group of mirror symmetries for the construction of the vector fields on spheres.
On the relation of the monomial group with other algebraic structures
Igor Bayak
It is shown in what way monomial group connects Abelian group Z^{n} and total linear group GL(n). It is shown that any subgroup of Abelian group Z^{n} induces subgroup of monomial…
On the geometry of plasma reactor
I. V. Bayak
It is presented the concept of controled nuclear synthesis in top of cone formed by rotational dynamic flow of low-temperature plasma.