Cyclic left and torsion-theoretic spectra of modules and their relations

Cyclic left and torsion-theoretic spectra of modules and their relations

In this paper, strongly-prime submodules of a cyclic module are considered and their main properties are given. On this basis, a concept of a cyclic spectrum of a module is introduced. This spectrum is a generalization of the Rosenberg spectrum of a noncommutative ring. In addition, some natural pro...

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Date:2016
Main Author: Maloid-Glebova, Marta
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2016
Subjects:
strongly-prime ideal
strongly-prime module
cyclic spectrum
torsion-theoretic spectrum
localizations
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/87
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-87
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-872016-01-12T07:40:37Z Cyclic left and torsion-theoretic spectra of modules and their relations Maloid-Glebova, Marta strongly-prime ideal, strongly-prime module, cyclic spectrum, torsion-theoretic spectrum, localizations In this paper, strongly-prime submodules of a cyclic module are considered and their main properties are given. On this basis, a concept of a cyclic spectrum of a module is introduced. This spectrum is a generalization of the Rosenberg spectrum of a noncommutative ring. In addition, some natural properties of this spectrum are investigated, in particular, its functoriality is proved. Lugansk National Taras Shevchenko University 2016-01-12 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/87 Algebra and Discrete Mathematics; Vol 20, No 2 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/87/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/87/18 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/87/30 Copyright (c) 2016 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2016-01-12T07:40:37Z
collection OJS
language English
topic strongly-prime ideal
strongly-prime module
cyclic spectrum
torsion-theoretic spectrum
localizations
spellingShingle strongly-prime ideal
strongly-prime module
cyclic spectrum
torsion-theoretic spectrum
localizations

Maloid-Glebova, Marta
Cyclic left and torsion-theoretic spectra of modules and their relations
topic_facet strongly-prime ideal
strongly-prime module
cyclic spectrum
torsion-theoretic spectrum
localizations
format Article
author Maloid-Glebova, Marta
author_facet Maloid-Glebova, Marta
author_sort Maloid-Glebova, Marta
title Cyclic left and torsion-theoretic spectra of modules and their relations
title_short Cyclic left and torsion-theoretic spectra of modules and their relations
title_full Cyclic left and torsion-theoretic spectra of modules and their relations
title_fullStr Cyclic left and torsion-theoretic spectra of modules and their relations
title_full_unstemmed Cyclic left and torsion-theoretic spectra of modules and their relations
title_sort cyclic left and torsion-theoretic spectra of modules and their relations
description In this paper, strongly-prime submodules of a cyclic module are considered and their main properties are given. On this basis, a concept of a cyclic spectrum of a module is introduced. This spectrum is a generalization of the Rosenberg spectrum of a noncommutative ring. In addition, some natural properties of this spectrum are investigated, in particular, its functoriality is proved.
publisher Lugansk National Taras Shevchenko University
publishDate 2016
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/87
work_keys_str_mv AT maloidglebovamarta cyclicleftandtorsiontheoreticspectraofmodulesandtheirrelations
first_indexed 2025-07-17T10:30:39Z
last_indexed 2025-07-17T10:30:39Z
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