Zip Property on Malcev-Neumann Series Modules
Let R be a ring, MR a right R-module, G a totally ordered group, σ a map from G into the group of automorphisms of R which assigns to each x ∈ G an automorphism σ_x ∈ Aut(R), τ a map from G × G to U(R) (the group of unit elements of R) and M((G; σ ; τ)) the Malcev-Neumann series module. Then, under...
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2015-05-01
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doaj-9eeed2b532a7410e8fda5442efcd0b6f2020-11-25T03:18:55ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982015-05-01701115123933Zip Property on Malcev-Neumann Series ModulesHanan Abd-ElmalkRefaat SalemAbdelaziz E. RadwanLet R be a ring, MR a right R-module, G a totally ordered group, σ a map from G into the group of automorphisms of R which assigns to each x ∈ G an automorphism σ_x ∈ Aut(R), τ a map from G × G to U(R) (the group of unit elements of R) and M((G; σ ; τ)) the Malcev-Neumann series module. Then, under some certain conditions, we show that MR is a right zip R-module if and only if M((G; σ ; τ))_{R((G;σ ;τ))} is a right zip R((G; σ ; τ))-module, where R((G; σ ; τ)) is the Malcev-Neumann series ring.<br /><br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1233Zip ringzip moduleMalcev-Neumann series ringMalcev-Neumann series module |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hanan Abd-Elmalk Refaat Salem Abdelaziz E. Radwan |
spellingShingle |
Hanan Abd-Elmalk Refaat Salem Abdelaziz E. Radwan Zip Property on Malcev-Neumann Series Modules Le Matematiche Zip ring zip module Malcev-Neumann series ring Malcev-Neumann series module |
author_facet |
Hanan Abd-Elmalk Refaat Salem Abdelaziz E. Radwan |
author_sort |
Hanan Abd-Elmalk |
title |
Zip Property on Malcev-Neumann Series Modules |
title_short |
Zip Property on Malcev-Neumann Series Modules |
title_full |
Zip Property on Malcev-Neumann Series Modules |
title_fullStr |
Zip Property on Malcev-Neumann Series Modules |
title_full_unstemmed |
Zip Property on Malcev-Neumann Series Modules |
title_sort |
zip property on malcev-neumann series modules |
publisher |
Università degli Studi di Catania |
series |
Le Matematiche |
issn |
0373-3505 2037-5298 |
publishDate |
2015-05-01 |
description |
Let R be a ring, MR a right R-module, G a totally ordered group, σ a map from G into the group of automorphisms of R which assigns to each x ∈ G an automorphism σ_x ∈ Aut(R), τ a map from G × G to U(R) (the group of unit elements of R) and M((G; σ ; τ)) the Malcev-Neumann series module. Then, under some certain conditions, we show that MR is a right zip R-module if and only if M((G; σ ; τ))_{R((G;σ ;τ))} is a right zip R((G; σ ; τ))-module, where R((G; σ ; τ)) is the Malcev-Neumann series ring.<br /><br /> |
topic |
Zip ring zip module Malcev-Neumann series ring Malcev-Neumann series module |
url |
http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1233 |
work_keys_str_mv |
AT hananabdelmalk zippropertyonmalcevneumannseriesmodules AT refaatsalem zippropertyonmalcevneumannseriesmodules AT abdelazizeradwan zippropertyonmalcevneumannseriesmodules |
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