|
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, номер 1, страницы 57–66
(Mi basm438)
|
|
|
|
Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
On the inverse operations in the class of preradicals of a module category, I
Ion Jardanab a Technical University of Moldova
b Institute of Mathematics and Computer Science, Academy of Sciences of Moldova
Аннотация:
In the class $\mathbb{PR}$ of preradicals of the category of left $R$-modules $R$-Mod a new operation is defined and studied, namely the left quotient with respect to join. Some properties of this operation are shown, its compatibility with the lattice operations of $\mathbb{PR}$ (meet and join of preradicals), as well as the relations with some constructions in the “big” lattice $\mathbb{PR}$. Also some particular cases are examined.
Ключевые слова и фразы:
ring, module, lattice, preradical, join, meet, product, left quotient.
Поступила в редакцию: 02.09.2016
Образец цитирования:
Ion Jardan, “On the inverse operations in the class of preradicals of a module category, I”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 1, 57–66
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm438 https://www.mathnet.ru/rus/basm/y2017/i1/p57
|
Статистика просмотров: |
Страница аннотации: | 193 | PDF полного текста: | 52 | Список литературы: | 34 |
|