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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, номер 2, страницы 77–87
(Mi basm447)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Research articles
On the inverse operations in the class of preradicals of a module category, II
Ion Jardanab a Technical University of Moldova
b Institute of Mathematics and Computer Science, Academy of Sciences of Moldova
Аннотация:
In the present work a new operation, called left coquotient with respect to meet, in the class of preradicals $\mathbb{PR}$ of the category $R$-Mod of left $R$-modules is defined and investigated. It is dual to the studied earlier left quotient with respect to join [2]. Main properties of this operation and relations with lattice operations in $\mathbb{PR}$ are shown. Connections with some constructions in the large complete lattice $\mathbb{PR}$ are studied and some particular cases are mentioned.
Ключевые слова и фразы:
ring, module, lattice, preradical, join, meet, coproduct, left coquotient.
Поступила в редакцию: 20.04.2017
Образец цитирования:
Ion Jardan, “On the inverse operations in the class of preradicals of a module category, II”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 2, 77–87
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm447 https://www.mathnet.ru/rus/basm/y2017/i2/p77
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Страница аннотации: | 221 | PDF полного текста: | 40 | Список литературы: | 27 |
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