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Marcin Bownik; Norbert Kaiblinger

doi:10.1016/j.jmaa.2005.05.055

Minimal generator sets for finitely generated shift-invariant subspaces of L2(Rn)

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.05.055 ◽

2006 ◽

Vol 313 (1) ◽

pp. 342-352 ◽

Cited By ~ 6

Author(s):

Marcin Bownik ◽

Norbert Kaiblinger

Keyword(s):

Invariant Subspaces ◽

Finitely Generated ◽

Minimal Generator ◽

Generator Sets

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The Structure of Finitely Generated Shift-Invariant Subspaces on Locally Compact Abelian Groups

Mediterranean Journal of Mathematics ◽

10.1007/s00009-020-01677-2 ◽

2021 ◽

Vol 18 (1) ◽

Author(s):

Seyyed Mohammad Tabatabaie ◽

Kazaros Kazarian ◽

Rajab Ali Kamyabi Gol ◽

Soheila Jokar

Keyword(s):

Abelian Groups ◽

Invariant Subspaces ◽

Finitely Generated ◽

Locally Compact ◽

Locally Compact Abelian Groups ◽

Compact Abelian Groups

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The Structure of Finitely Generated Shift-Invariant Subspaces in Super Hilbert Spaces

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2012.718022 ◽

2013 ◽

Vol 34 (3) ◽

pp. 349-364 ◽

Cited By ~ 2

Author(s):

Qingyue Zhang ◽

Wenchang Sun

Keyword(s):

Hilbert Spaces ◽

Invariant Subspaces ◽

Finitely Generated

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Minimally Generated Modules

Canadian Mathematical Bulletin ◽

10.4153/cmb-1980-014-1 ◽

1980 ◽

Vol 23 (1) ◽

pp. 103-105 ◽

Cited By ~ 3

Author(s):

W. H. Rant

Keyword(s):

Local Ring ◽

Left Module ◽

Perfect Ring ◽

Noetherian Module ◽

Minimal Generator ◽

Artinian Module ◽

Maximal Submodule ◽

Left And Right ◽

Generator Sets

AbstractA non-zero module M having a minimal generator set contains a maximal submodule. If M is Artinian and all submodules of M have minimal generator sets then M is Noetherian; it follows that every left Artinian module of a left perfect ring is Noetherian. Every right Noetherian module of a left perfect ring is Artinian. It follows that a module over a left and right perfect ring (in particular, commutative) is Artinian if and only if it is Noetherian. We prove that a local ring is left perfect if and only if each left module has a minimal generator set.

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Main problems of import subsumption in domestic engineering, applicable to small-power electric generator installations

Power and Autonomous equipment ◽

10.32464/2618-8716-2018-1-1-46-51 ◽

2018 ◽

Vol 1 (1) ◽

pp. 46-51 ◽

Cited By ~ 3

Author(s):

A. V. Shelgunov

Keyword(s):

Low Power ◽

Import Substitution ◽

Power Generator ◽

Small Power ◽

Domestic Production ◽

Power Generators ◽

Electric Generator ◽

Generating Sets ◽

Current State ◽

Generator Sets

Subject: the subject of the study are low-power generator sets with a power of up to 30 kW.Materials and methods: in this paper, the main domestic legislative documents regulating the requirements for products. An assessment is made of the current state of Russian engine building.Results: the detailed analysis of the modern domestic market of power generating units with a capacity of up to 30 kW is made, the main problems in the field of domestic production of electric power generators in the range up to 30 kW are revealed, and the prospects for import substitution of gasoline and diesel engines are noted.Conclusions: almost complete absence of the market of domestic low-power generating sets is established, insufficient measures taken to support domestic producers are noted, measures are proposed for the development of domestic production of power units in the range of up to 30 kW.

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Invariant Subspaces on KPC-Hypergroups

Zurnal matematiceskoj fiziki analiza geometrii ◽

10.15407/mag15.01.122 ◽

2019 ◽

Vol 15 (1) ◽

pp. 122-130

Author(s):

Laszlo Szekelyhidi ◽

◽

Seyyed Mohammad Tabatabaie ◽

Keyword(s):

Invariant Subspaces

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Automorphisms of finite order of nilpotent groups II

Studia Scientiarum Mathematicarum Hungarica ◽

10.1556/sscmath.51.2014.4.1297 ◽

2014 ◽

Vol 51 (4) ◽

pp. 547-555 ◽

Cited By ~ 1

Author(s):

B. Wehrfritz

Keyword(s):

Nilpotent Group ◽

Finite Order ◽

Finite Index ◽

Nilpotent Groups ◽

Finitely Generated

Let G be a nilpotent group with finite abelian ranks (e.g. let G be a finitely generated nilpotent group) and suppose φ is an automorphism of G of finite order m. If γ and ψ denote the associated maps of G given by \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\gamma :g \mapsto g^{ - 1} \cdot g\phi and \psi :g \mapsto g \cdot g\phi \cdot g\phi ^2 \cdots \cdot \cdot g\phi ^{m - 1} for g \in G,$$ \end{document} then Gγ · kerγ and Gψ · ker ψ are both very large in that they contain subgroups of finite index in G.

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