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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, номер 1, страницы 20–29
(Mi basm500)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
$n$-Torsion regular rings
Peter V. Danchev Institute of Mathematics & Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria
Аннотация:
As proper subclasses of the classes of unit-regular and strongly regular rings, respectively, the two new classes of $n$-torsion regular rings and strongly $n$-torsion regular rings are introduced and investigated for any natural number $n$. Their complete isomorphism classification is given as well. More concretely, although it has been recently shown by Nielsen–Šter (TAMS, 2018) that unit-regular rings need not be strongly clean, the rather curious fact that, for each positive odd integer $n$, the $n$-torsion regular rings are always strongly clean is proved.
Ключевые слова и фразы:
regular rings, unit-regular rings, strongly regular rings, $n$-torsion regular rings, strongly $n$-torsion regular rings.
Поступила в редакцию: 23.10.2017
Образец цитирования:
Peter V. Danchev, “$n$-Torsion regular rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, no. 1, 20–29
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm500 https://www.mathnet.ru/rus/basm/y2019/i1/p20
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Страница аннотации: | 224 | PDF полного текста: | 126 | Список литературы: | 25 |
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