Cover Image

Decompositions of direct products of groups

We propose a new method for the decomposition of direct products of groups into U subsets. By using this method, we prove the following generalization of the Comfort-van Mill theorem: An arbitrary nondiscrete topological Abelian group with a finite number of second-order elements can be decomposed i...

Full description

Saved in:

Bibliographic Details
Date:	1997
Main Authors:	Protasov, I. V., Протасов, І. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1997
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5136
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Ultrafilters and Decompositions of Abelian Groups
by: Protasov, I. V., et al.
Published: (2001)

On decompositions of affine Coxeter groups in semi-direct products
by: Jushenko, E.
Published: (2004)

On direct decompositions in modules over group rings
by: Petrenko, B. V., et al.
Published: (1997)

On direct decompositions of infinite Abelian groups with operators
by: Zaitsev , D. I., et al.
Published: (1988)

Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups
by: Daugulis, Peteris
Published: (2017)

Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups
by: P. Daugulis
Published: (2017)

Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups
by: Daugulis, P.
Published: (2017)

Direct decompositions of artinian modules related to formations of groups
by: Kurdachenko, L. A., et al.
Published: (2003)

Decompositions of set-valued mappings
by: Protasov, I.
Published: (2020)

Decomposition of Directed Graphs and the Turán Problem
by: Zholtkevich, G. N., et al.
Published: (2014)

Decomposition of directed graphs and the Turán problem
by: Novikov, B.V., et al.
Published: (2014)

Irresolvable left topological groups
by: Protasov, I. V., et al.
Published: (2000)

Irresolvable topologies on groups
by: Protasov, I. V., et al.
Published: (1998)

Absolutely decomposable groups
by: Protasov, I. V., et al.
Published: (1996)

Morphisms of Ball's Structures of Groups and Graphs
by: Protasov, I. V., et al.
Published: (2002)

Absolute decomposability of the group of rational numbers
by: Protasov, I. V., et al.
Published: (1996)

Two theorems on imbeddings of 0-dimensional groups
by: Protasov, I. V., et al.
Published: (1994)

Ideals of the semigroup of ultrafilters of a topological group
by: Protasov, I. V., et al.
Published: (1995)

On the Suslin Number of Totally-Bounded Left-Topological Groups
by: Protasov, I. V., et al.
Published: (2002)

On the Suslin number of the spaces of subgroups of the locally compact group
by: Protasov, I. V., et al.
Published: (1988)

Thin Subsets of Groups
by: Protasov, I. V., et al.
Published: (2013)

On direct products of metacyclic Miller–Moreno p-groups and cyclic p-groups as additive groups of local nearrings
by: Raievska, I. Yu.; Інститут математики НАН України, Київ
Published: (2024)

Relatively thin and sparse subsets of groups
by: Lutsenko, Ie., et al.
Published: (2011)

Decomposition of polynomial matrices into a direct sum of triangular summands
by: Shavarovskyy, B. Z., et al.
Published: (1999)

On periodical groups, where all decomposited $pd$-subgroups are normal
by: Liman, F. N., et al.
Published: (1987)

Scattered Subsets of Groups
by: Banakh, T. O., et al.
Published: (2015)

Parametric 2-decompositions in complete linear groups of small order over the field
by: V. Shchedryk
Published: (2024)

Parametric 2-decompositions in complete linear groups of small order over the field
by: Shchedryk, V., et al.
Published: (2024)

Coarse selectors of groups
by: Protasov, I.
Published: (2023)

Numerical definition of organophosphorus compounds decomposition products in the chain combustion conditions
by: V. V. Kukuieva, et al.
Published: (2017)

Partitions of groups into sparse subsets
by: I. Protasov
Published: (2012)

Partitions of groups into sparse subsets
by: Protasov, I.
Published: (2012)

Group classification of quasilinear elliptic-type equations. I. Invariance with respect to Lie algebras with nontrivial Levi decomposition
by: Lahno, V. I., et al.
Published: (2007)

Thin Subsets of Groups
by: I. V. Protasov, et al.
Published: (2013)

Balleans of topological groups
by: Hernández, S., et al.
Published: (2011)

Thin Subsets of Groups
by: Protasov, I.V., et al.
Published: (2013)

On the product of an abelian group and a nilpotent group
by: Gorodnik, О. V., et al.
Published: (1999)

Groupoids: Direct products, semidirect products and solvability
by: Marín, V., et al.
Published: (2022)

Descriptive complexity of the sizes of subsets of groups
by: Banakh, T. O., et al.
Published: (2017)

Estimates of products of inner radii of regions in the problem of extremal decomposition of the complex plane
by: H. P. Bakhtina, et al.
Published: (2015)