Cover Image

Finitary and Artinian-Finitary Groups over the Integers $ℤ$

In a series of papers, we have considered finitary (that is, Noetherian-finitary) and Artinian-finitary groups of automorphisms of arbitrary modules over arbitrary rings. The structural conclusions for these two classes of groups are really very similar, especially over commutative rings. The questi...

Full description

Saved in:

Bibliographic Details
Date:	2002
Main Authors:	Wehrfritz, B. A. F., Веґрфріц, Б. А. Ф.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2002
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4113
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

Finitary and Artinian-Finitary Groups over the Integers ℤ
by: Wehrfritz, B.A.F.
Published: (2002)

Finitary groups and Krull dimension over the integers
by: Wehrfritz, B. A. F., et al.
Published: (2006)

Finitary groups and Krull dimension over the integers
by: Wehrfritz, B.A.
Published: (2006)

Automorphisms of finitary incidence rings
by: Khripchenko, N.
Published: (2010)

Automorphisms of finitary incidence rings
by: Khripchenko, Nikolay
Published: (2018)

Automorphisms of a finitary factor power of an infinite symmetric group
by: Hudzenko, S. V., et al.
Published: (2010)

Artinian rings with nilpotent adjoint group
by: Evstaf’ev, R. Yu., et al.
Published: (2006)

The standard form of matrices over the ring of Gaussian integers with respect to (z, k)-equivalence
by: V. M. Petrychkovych, et al.
Published: (2020)

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

On one class of modules over integer group rings of locally solvable groups
by: Dashkova, O. Yu., et al.
Published: (2009)

On modules over group rings of locally soluble groups for a ring of p -adic integers
by: Dashkova, O.Yu.
Published: (2009)

On modules over integer-valued group rings of locally soluble groups with rank restrictions imposed on subgroups
by: Dashkova, O. Yu., et al.
Published: (2011)

On complementability of certain generalized hypercenters in Artinian modules
by: Kurdachenko, L. A., et al.
Published: (1997)

On Artinian rings satisfying the Engel condition
by: Evstaf’ev, R. Yu., et al.
Published: (2006)

Vanishing and Artinianness of graded generalized local cohomology
by: Azari, A., et al.
Published: (2020)

Vanishing and Artinianness of graded generalized local cohomology
by: A. Azari, et al.
Published: (2020)

General Kloosterman sums over ring of Gaussian integers
by: Varbanets, S. P., et al.
Published: (2007)

General Kloosterman sums over ring of Gaussian integers
by: Varbanets, S.P.
Published: (2007)

On various parameters of \(\mathbb{Z}_q\)-simplex codes for an even integer \(q\)
by: Pandian, P. Chella, et al.
Published: (2015)

Differentially trivial and rigid right semi-artinian rings
by: Artemovych, O.D.
Published: (2004)

Differentially trivial and rigid right semi-artinian rings
by: Artemovych, O. D.
Published: (2018)

The integer solutions of matrix linear unilateral and bilateral equations over quadratic rings
by: N. B. Ladzoryshyn
Published: (2015)

The unit group of the group algebra Fq(Z9xZ3)
by: R. K. Sharma, et al.
Published: (2024)

Norm Kloosterman sums over Z[i]
by: Savastru, O., et al.
Published: (2011)

Almost all derivative quivers of artinian biserial rings contain chains
by: Avdeeva, Tetjana, et al.
Published: (2018)

Almost all derivative quivers of artinian biserial rings contain chains
by: Avdeeva, T., et al.
Published: (2003)

Norm Kloosterman sums over \(\mathbb{Z}[i]\)
by: Savastru, O., et al.
Published: (2018)

Generalized Twisted Kloosterman Sum Over Z|i|
by: S. P. Varbanets
Published: (2014)

Generalized twisted Kloosterman sum over ℤ[i]
by: Varbanets, S.
Published: (2014)

Generalized Twisted Kloosterman Sum Over ℤ[i]
by: Varbanets, S. P., et al.
Published: (2014)

On irreducible representations of the $p$-group on $Z_p$
by: Nazarova, L. A., et al.
Published: (1966)

The unit group of the group algebra $\mathbb{F}_{q}(\mathbb{Z}_9\rtimes\mathbb{Z}_3)$
by: Sharma, R. K., et al.
Published: (2024)

On the best approximation of non-integer constants by polynomials with integer coefficients
by: R. M. Trigub
Published: (2023)

Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry
by: Arita, C., et al.
Published: (2012)

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

On modules over group rings of nilpotent groups
by: Dashkova, O. Yu., et al.
Published: (2012)

Integer divisor connectivity graph
by: Jorf, M., et al.
Published: (2025)

On the Average Value of a Generalized Pillai Function over ℤ|i| in the Arithmetic Progression
by: P. D. Varbanets, et al.
Published: (2013)

Polynomials with integer coefficients and Chebyshev polynomials
by: R. M. Trigub
Published: (2016)

On Noetherian Modules over Minimax Abelian Groups
by: Tushev, A. V., et al.
Published: (2002)