Factorization of elements in noncommutative rings, I

Factorization of elements in noncommutative rings, I

We extend the classical theory of factorization in noncommutative integral domains to the more general classes of right saturated rings and right cyclically complete rings. Our attention is focused, in particular, on the factorizations of right regular elements into left irreducible elements. We stu...

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Бібліографічні деталі
Дата:2016
Автори: Facchini, Alberto, Fassina, Martino
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2016
Теми:
Divisibility
Factorization
Right irreducible element
16U30
16B99
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/160
Теги: Додати тег
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-160
record_format ojs
spelling admjournalluguniveduua-article-1602016-12-30T22:42:45Z Factorization of elements in noncommutative rings, I Facchini, Alberto Fassina, Martino Divisibility; Factorization; Right irreducible element 16U30; 16B99 We extend the classical theory of factorization in noncommutative integral domains to the more general classes of right saturated rings and right cyclically complete rings. Our attention is focused, in particular, on the factorizations of right regular elements into left irreducible elements. We study the connections among such factorizations, right similar elements, cyclically presented modules of Euler characteristic $0$ and their series of submodules. Finally, we consider factorizations as a product of idempotents. Lugansk National Taras Shevchenko University Universit\`a di Padova Fondazione Cassa di Risparmio di Padova e Rovigo 2016-12-31 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/160 Algebra and Discrete Mathematics; Vol 22, No 2 (2016) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/160/pdf Copyright (c) 2016 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2016-12-30T22:42:45Z
collection OJS
language English
topic Divisibility
Factorization
Right irreducible element
16U30
16B99
spellingShingle Divisibility
Factorization
Right irreducible element
16U30
16B99
Facchini, Alberto
Fassina, Martino
Factorization of elements in noncommutative rings, I
topic_facet Divisibility
Factorization
Right irreducible element
16U30
16B99
format Article
author Facchini, Alberto
Fassina, Martino
author_facet Facchini, Alberto
Fassina, Martino
author_sort Facchini, Alberto
title Factorization of elements in noncommutative rings, I
title_short Factorization of elements in noncommutative rings, I
title_full Factorization of elements in noncommutative rings, I
title_fullStr Factorization of elements in noncommutative rings, I
title_full_unstemmed Factorization of elements in noncommutative rings, I
title_sort factorization of elements in noncommutative rings, i
description We extend the classical theory of factorization in noncommutative integral domains to the more general classes of right saturated rings and right cyclically complete rings. Our attention is focused, in particular, on the factorizations of right regular elements into left irreducible elements. We study the connections among such factorizations, right similar elements, cyclically presented modules of Euler characteristic $0$ and their series of submodules. Finally, we consider factorizations as a product of idempotents.
publisher Lugansk National Taras Shevchenko University
publishDate 2016
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/160
work_keys_str_mv AT facchinialberto factorizationofelementsinnoncommutativeringsi
AT fassinamartino factorizationofelementsinnoncommutativeringsi
first_indexed 2025-12-02T15:25:41Z
last_indexed 2025-12-02T15:25:41Z
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