|
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, Number 2, Pages 77–87
(Mi basm447)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
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
Abstract:
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.
Keywords and phrases:
ring, module, lattice, preradical, join, meet, coproduct, left coquotient.
Received: 20.04.2017
Citation:
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
Linking options:
https://www.mathnet.ru/eng/basm447 https://www.mathnet.ru/eng/basm/y2017/i2/p77
|
Statistics & downloads: |
Abstract page: | 220 | Full-text PDF : | 40 | References: | 23 |
|